Dissertations / Theses on the topic 'Stacking fault energy'

The stacking fault energy (SFE) of seven austenitic stainless steels with the compositions x(Cr)=20 at%, 8≤x(Ni)≤20 at% and 0≤x(Mn)≤8 at% have been calculated at room temperature using the thermodynamics-based Olson and Cohen modeling approach [1]. Modeling has been performed using the TCFE7 database together with the Thermo-Calc 3.0 software. Experimental SFE values from transmission electron microscopy (TEM) measurements and theoretical SFE values from ab initio calculations were used for comparison. The results of the SFE from TCFE7 were not in agreement with the values reported in the literature. After an evaluation of the thermodynamic parameters in the database, a new assessment of the SFE in the ternary and quaternary Fe-Cr-Ni and Fe-Cr-Ni-Mn system was proposed which resulted in SFE values in fairly good agreement with the literature.

Austenitic stainless steels are primarily known for their exceptional corrosion resistance. They have the face centred cubic (FCC) structure which is stabilised by adding nickel to the Fe-Cr alloy. The Fe-Cr-Ni system can be further extended by adding other elements such as Mn, Mo, N, C, etc. in order to improve the properties. Since austenitic stainless steels are often used as structural materials, it is important to be able to predict their mechanical behaviour based on their composition, microstructure, magnetic state, etc. In this work, we investigate the plastic deformation behaviour of austenitic stainless steels by theoretical and experimental approaches. In FCC materials the stacking fault energy (SFE) plays an important role in the prediction of the deformation modes. Based on the magnitude of the SFE different deformation modes can be observed such as martensite formation, deformation twinning, dissociated or undissociated dislocation glide. All these features influence the behaviour differently, therefore it is desired to be able to predict their occurrence. Alloying and temperature have strong effect on the SFE and thus on the mechanical properties of the alloys. Several models based on the SFE and more recently on the so called generalised stacking fault energy (GSFE or γ-surface) are available to predict the alloy's affinity to twinning and the critical twinning stress representing the minimum resolved shear stress required to initiate the twinning deformation mechanism. One can employ well established experimental techniques to measure the SFE. On the other hand, one needs to resort to ab initio calculations based on density functional theory (DFT) to compute the GSFE of austenitic steels and derive parameters like the twinnability and the critical twinning stress.  We discuss the effect of the stacking fault energy on the deformation behaviour for two different austenitic stainless steels. We calculate the GSFE of the selected alloys and based on different models, we predict their tendency for twinning and the critical twinning stress. The theoretical predictions are contrasted with tensile tests and electron backscatter diffraction (EBSD) measurements. Several conventional and in situ tensile test are performed to verify the theoretical results. We carry out EBSD measurements on interrupted and fractured specimens and during tensile tests to closely follow the development of the microstructure. We take into account the role of the intrinsic energy barriers in our predictions and introduce a new and so far unique way to experimentally obtain the GSFE of austenitic stainless steels. Previously, only the SFE could be measured precisely by well-designed experiments. In the present thesis we go further and propose a technique that can provide accurate unstable stacking fault energy values for any austenitic alloy exhibiting twinning.
Austenitiska rostfria stål är främst kända för sin exceptionella korrosionsbeständighet. De har en ytcentrerad kubisk (FCC) struktur som stabiliseras genom att nickel tillsätts till Fe-Cr legeringen. Fe-Cr-Ni-systemet kan utökas ytterligare genom tillsats av andra element såsom Mn, Mo, N, C, etc. för att förbättra egenskaperna. Eftersom austenitiska rostfria stål ofta används som konstruktionsmaterial är det viktigt att kunna förutsäga deras mekaniska egenskaper baserat på deras sammansättning, mikrostruktur, magnetiska tillstånd, etc. I denna avhandling undersöker vi det plastiska deformationsbeteendet hos austenitiska rostfria stål både teoretiskt och experimentellt. I FCC material spelar staplingsfelsenergin (SFE) en viktig roll vid förutsägelsen av deformationsmekanism. Baserat på storleken av SFE kan olika deformationsmekanismer observeras, såsom martensitbildning, tvillingbildning, dissocierad eller odissocierad dislokationsglidning. Alla dessa funktioner påverkar beteendet på olika sätt, därför är det önskvärt att kunna förutsäga deras förekomst. Legering och temperatur har stark inverkan på SFE och därmed legeringarnas mekaniska egenskaper. Flera modeller, baserade på SFE och mer nyligen på den så kallade generaliserade staplingsfelenergin (GSFE eller γ-surface), är tillgängliga för att förutsäga legeringens benägenhet till tvillingbildning och den kritiska spänning som representerar den minsta upplösta skjuvspänningen som krävs för att initiera tvillingbildning. Man kan använda ab initio beräkningar baserade på täthetsfunktionalteori (DFT) för att beräkna GSFE för austenitiska stål och härleda parametrar som twinnability och kritisk tvillingsspänning. Vi diskuterar effekten av staplingsfelenergi på deformationsbeteendet för två olika austenitiska rostfria stål. Vi beräknar GSFE för de valda legeringarna och baserat på olika modeller, förutsäger vi deras tendens till tvillingbildning och den kritiska tvillingsspänningen. De teoretiska förutsägelserna jämförs med resultat från dragprov och bakåtspridd elektron diffraktion (EBSD). Flera konventionella och in situ dragprov utfördes för att verifiera de teoretiska resultaten. Vi utförde EBSD-mätningar på dragprov som avbrutits vid olika töjningar och efter brott samt med in situ dragprov för att följa utvecklingen av mikrostrukturen noggrant. Vi tar hänsyn till de inre energibarriärernas roll i våra förutsägelser och presenterar ett nytt sätt att experimentellt få GSFE av austenitiska rostfria stål. Tidigare kunde endast SFE mätas tillförlitligt genom väl utformade experiment. I den aktuella avhandlingen går vi vidare och föreslår en teknik som kan ge noggranna värden för den instabila staplingsfelenergin för alla austenitiska legeringar som uppvisar tvillingbildning.

The imminent emergence of the hydrogen fuel industry has resulted in an urgent mandate for very specific material testing. Although storage of pressurized hydrogen gas is both practical and attainable, demands for increasing storage pressures (currently around 70 MPa) continue to present unexpected material compatibility issues. It is imperative that materials commonly used in gaseous hydrogen service are properly tested for hydrogen embrittlement resistance. To assess material behavior in a pressurized hydrogen environment, procedures were designed to test materials for susceptibility to hydrogen embrittlement. Of particular interest to the field of high-pressure hydrogen in the automotive industry, austenitic stainless steels SUS 316 and 316L were used to validate the test programs. Tests were first performed in 25 MPa helium and hydrogen at room temperature and at -40°C. Tests in a 25 MPa hydrogen atmosphere caused embrittlement in SUS 316, but not in 316L. This indicated that alloys with higher stacking fault energies (316L) are more resistant to hydrogen embrittlement. Decreasing the test temperature caused slight embrittlement in 316L and significantly enhanced it in 316. Alternatively, a second set of specimens was immersed in 70 MPa hydrogen at 100°C until reaching a uniform concentration of absorbed hydrogen. Specimens were then loaded in tension to failure to determine if a bulk saturation of hydrogen provided a similar embrittling effect. Neither material succumbed to the effects of gaseous pre-charging, indicating that the embrittling mechanism requires a constant supply of hydrogen at the material surface rather than having bulk concentration of dissolved hydrogen. Permeation tests were also performed to ensure that hydrogen penetrated the samples and to develop material specific permeation constants. To pave the way for future work, prototype equipment was constructed allowing tensile or fatigue tests to be performed at much higher hydrogen pressures. To determine the effect of pressure on hydrogen embrittlement, additional tests can be performed in hydrogen pressures up to 85 MPa hydrogen. The equipment will also allow for cyclic loading of notched tensile or compact tension specimens for fatigue studies.

Thesis (Ph. D.)--University of California, San Diego, 2008.
Title from first page of PDF file (viewed June 18, 2008). Available via ProQuest Digital Dissertations. Vita. Includes bibliographical references (p. 214-225).

Constitutive laws commonly used to model friction stir welding have been evaluated, both qualitatively and quantitatively, and a new application of a constitutive law which can be extended to materials commonly used in FSW is presented. Existing constitutive laws have been classified as path-dependent or path-independent. Path-independent laws have been further classified according to the physical phenomena they capture: strain hardening, strain rate hardening, and/or thermal softening. Path-dependent laws can track gradients in temperature and strain rate characteristic to friction stir welding; however, path-independent laws cannot. None of the path-independent constitutive laws evaluated has been validated over the full range of strain, strain rate, and temperature in friction stir welding. Holding all parameters other than constitutive law constant in a friction stir weld model resulted in temperature differences of up to 21%. Varying locations for maximum temperature difference indicate that the constitutive laws resulted in different temperature profiles. The Sheppard and Wright law is capable of capturing saturation but incapable of capturing strain hardening with errors as large as 57% near yield. The Johnson-Cook law is capable of capturing strain hardening; however, its inability to capture saturation causes over-predictions of stress at large strains with errors as large as 37% near saturation. The Kocks and Mecking model is capable of capturing strain hardening and saturation with errors less than 5% over the entire range of plastic strain. The Sheppard and Wright and Johnson-Cook laws are incapable of capturing transients characteristic of material behavior under interrupted temperature or strain rate. The use of a state variable in the Kocks and Mecking law allows it to predict such transients. Constants for the Kocks and Mecking model for AA 5083, AA 3004, and Inconel 600 were determined from Atlas of Formability data. Constants for AA 5083 and AA 3004 were determined with the traditional Kocks and Mecking model; however, constants for Inconel 600 could not be determined without modification to the model. The temperature and strain rate combinations for Inconel 600 fell into two hardening domains: low temperatures and high strain rates exhibited twinning while high temperatures and low strain rates exhibited slip. An additional master curve was added to the Kocks and Mecking model to account for two hardening mechanisms. The errors for the Kocks and Mecking model predictions are generally within 10% for all materials analyzed.

Global increase in energy consumption and global warming require more energy production but less CO2emission. Increase in efficiency of energy production is an effective way for this purpose. This can be reached by increasing boiler temperature and pressure in a biomass power plant. By increasing material temperature 50°C, the efficiency in biomass power plants can be increased significantly and the CO2emission can be greatly reduced. However, the materials used for future biomass power plants with higher temperature require improved properties. Austenitic stainless steels are used in most biomass power plants. In austenitic stainless steels a phenomenon called dynamic strain aging (DSA), can occur in the operating temperature range for biomass power plants. DSA is an effect of interaction between moving dislocations and solute atoms and occurs during deformation at certain temperatures. An investigation of DSA influences on ductility in austenitic stainless steels and nickel base alloys have been done. Tensile tests at room temperature up to 700°C and scanning electron microscope investigations have been used. Tensile tests revealed that ductility increases with increased temperature for some materials when for others the ductility decreases. This is, probably due to formation of twins. Increased stacking fault energy (SFE) gives increased amount of twins and high nickel content gives a higher SFE. Deformation mechanisms observed in the microstructure are glide bands (or deformations band), twins, dislocation cells and shear bands. Damage due to DSA can probably be related to intersection between glide bands or twins, see figure 6 a). Broken particles and voids are damage mechanisms observed in the microstructure.

Die vorliegende Arbeit zeigt einen Weg, Kupfer und einphasige Kupferlegierungen mit stark verzwillingten Gefügen durch ein technisch relevantes Umformverfahren herzustellen. Der Drahtzug bildet dabei aufgrund seines Spannungszustands und der entsprechenden Texturentwicklung in kubischflächenzentrierten Metallen ein ideales Umformverfahren, um einen Großteil des Gefüges durch mechanische Zwillingsbildung zu verfeinern. Für die Aktivierung der Zwillingsbildung in reinem Kupfer unter den untersuchten Werkstoffvarianten sind Temperaturen nahe der Temperatur des flüssigen Stickstoffs notwendig. Um den Drahtzug in flüssigem Stickstoff umzusetzen, wurden verschiedene Feststoffschmiermittel auf ihre Eignung hin getestet. Die Textur der mit Stickstoffkühlung hergestellten Halbzeuge ist durch eine dreifache Fasertextur bestehend aus <111>-, <001>- und <115>-Fasertexturkomponente charakterisiert. Anhand der strengen Orientierungsverhältnisse konnte der Volumenanteil von verzwillingtem Material bestehend aus Matrixkörnern und Verformungszwillingen auf 71 vol% durch röntgenografische Globaltexturmessungen abgeschätzt werden, wobei das Volumenverhältnis von Zwillingen zu Matrix bei knapp 0,7:1 liegt. Die Zwillinge zeigen eine breite Zwillingslamellenweitenverteilung von wenigen Nanometern bis einige 100 nm im höchstverformten Stadium. Durch die Absenkung der Umformtemperatur und die daraus resultierende Aktivierung der Zwillingsbildung kann die Zugfestigkeit von reinem Kupfer um 140 MPa im Vergleich zu einem ohne Kühlung hergestellten Draht auf 582 MPa erhöht werden. Dabei reduziert sich die elektrische Leitfähigkeit um 6,5% gegenüber einem grobkorngeglühten Kupfer. Eine Absenkung der Stapelfehlerenergie auf 30 mJ/m² in CuAl2 führt zur Aktivierung der mechanischen Zwillingsbildung beim Drahtzug ohne Kühlung. Durch diese Aktivierung der Zwillingsbildung kann bei fortschreitender Verringerung der Stapelfehlerenergie wie in CuAl7 die Zugfestigkeit des umgeformten Drahtes auf weit über 1 GPa erhöht werden. Das entsprechende Gefüge ist dabei ultrafeinkörnig.

Hoch manganhaltige Eisenbasislegierungen sind bei Raumtemperatur austenitisch und antiferromagnetisch (afm). Dabei besteht die Besonderheit, dass sich durch Legierung die afm Übergangstemperatur (Néeltemperatur) so einstellen lässt, dass sie nahe Raumtemperatur liegt. FeMn-Basislegierungen zeigen in Abhängigkeit von der Zusammensetzung Transformation Induced Plasticity (TRIP) und/oder Twinning Induced Plasticity (TWIP), d.h. die niedrige Stapelfehlerenergie dieser Legierungen führt zu verformungsinduzierter, metastabiler Phasenbildung (TRIP) bzw. zur Bildung von Verformungszwillingen (TWIP) und dadurch zu außerordentlich hoher Duktilität bei gleichzeitig hoher Verfestigung. Darüber hinaus haben FeMn-Basislegierungen einen ausgeprägten Magnetovolumeneffekt und magnetoelastischen Effekt durch magnetische Ordnung. Daher sind die untersuchten FeMnNiCr-Basislegierungen auch prototypisch für afm Élinvarlegierungen. Da Élinvar jedoch für invariable Elastizität steht, bedingt eine Anwendung als temperaturkompensierte Konstantmodullegierungen die Glättung der ausgeprägten magnetischen Anomalien, die industriell noch in keiner Anwendung realisiert wurde. Der Vorteil dies für eine Anwendung zu erreichen, läge in der Unempfindlichkeit feinmechanischer Bauelemente, gegenüber magnetischen Feldern, die bei den industriell verfügbaren ferromagnetischen Élinvarlegierungen nicht gewährleistet ist. Mit Bezug zu feinmechanischen Schwingsystemen spielen dabei neben der Einstellung der magnetoelastischen Eigenschaften die Prozessierbarkeit, Kaltumformbarkeit und Festigkeit sowie deren wechselseitige Beeinflussung eine große Rolle. Die vorliegende Arbeit befasst sich daher mit der Anwendbarkeit der untersuchten FeMnNiCr-Legierungen. Dabei wurden grundlegende Untersuchungen zur Plastizität durchgeführt, die die mechanische Zwillingsbildung in diesen Legierungen charakterisiert und ein Modell der mechanischen Zwillingsbildung bei kleinen plastischen Dehnungen vorschlägt, das eine Abschätzung der Stapelfehlerenergie erlaubt. Die Untersuchung des Antiferromagnetismus umgeformter Proben zeigt das Auftreten thermoremanenter Magnetisierung (TRM), deren Größe mit dem Umformgrad der untersuchten Proben skaliert. Sie wird den durch Umformdefekte erzeugten unkompensierten Momenten in der afm Spinstruktur zugeschrieben. Diese werden durch eine magnetische Feldkühlung magnetisiert und koppeln durch Austauschwechselwirkung an die umgebende antiferromagnetische Matrix unterhalb der Néeltemperatur. Das komplexe thermomagnetische Verhalten der unkompensierten Momente wird experimentell beschrieben und phänomenologisch gedeutet. Die Weiterentwicklung und Bewertung technischer, ausscheidbarer FeMnNiCrBe- und FeMnNiCr(Ti, Al)-Legierungen wird mit Bezug zu den grundlegenden Untersuchungen dargestellt. Es wird gezeigt, dass die neu entwickelten ausscheidbaren FeMnNiCr(Ti, Al)-Legierungen eine vielversprechende Ausgangsbasis darstellen, afm Élinvarlegierungen technisch umzusetzen
High manganese iron-base alloys are austenitic and antiferromagnetic (afm) at room temperature. By further alloying it is possible to tune the afm transition temperature (Néel temperature) near room temperature. FeMn-base alloys show extraordinary strain hardening as well as ductility because of Transformation Induced Plasticity (TRIP) and/or Twinning Induced Plasticty (TWIP), i.e. in dependence on composition the generally low stacking fault energy in these alloys allows for the mechanically induced formation of metastable phases (TRIP) or deformation twinning (TWIP). Furthermore, magnetic order causes distinct magnetovolume and magnetoelastic effects in these afm FeMn-base alloys. The investigated FeMnNiCr-base alloys are therefore prototypic for afm Élinvar alloys. However, as Élinvar is meant for invariant elasticity, an application as temperature compensated alloy with constant elastic modulus requires the smoothing of the pronounced magnetic anomalies, that is not industrially available yet. The advantage of afm Élinvar alloys in precision mechanics applications, would be their impassiveness with respect to magnetic fields that is not achievable by their ferromagnetic counterparts. For precision components like mechanic oscillators not only the tuning of the magnetoelastic properties but also the processing, cold formability and mechanical properties as well as their interplay have strong influence. Therefore this work addresses the applicability of the studied FeMnNiCr alloys. Elementary investigations on plasticity characterise the occurrence of TWIP in these alloys and propose a modell for deformation twinning at low plastic strains that allows for an estimation of the stacking fault energy. The investigations on the antiferromagnetism of deformed samples show the appearance of thermoremanent magnetisation (TRM). Its magnitude scales with the degree of deformation. The TRM is therefore attributed to uncompensated moments in the afm spin structure due to deformation induced defects. These are magnetised by a magnetic field cooling and couple to the afm matrix by exchange interaction below the Néel temperature. The complex thermomagnetic behaviour of the uncompensated moments is experimentally described and phenomenologically explained. The further development and assessment of engineering-grade pecipitable FeMnNiCrBe and FeMnNiCr(Ti, Al) alloys is presented in relation to the aforementioned elementary investigations. It is shown that the newly developped precipitable FeMnNiCr(Ti, Al) alloys are good candidates for afm Élinvar alloys in application

Abstract Austenitic high-Mn (15–30 wt.%) based twinning-induced plasticity (TWIP) steels provide great potential in applications for structural components in the automotive industry, owing to their excellent tensile strength-ductility property combination. In certain cases, these steels might also substitute austenitic Cr-Ni stainless steels. The aim of this present work is to investigate the high-temperature flow resistance, recrystallisation and the evolution of microstructure of high-Mn steels by compression testing on a Gleeble simulator. The influence of Al alloying (0–8 wt.%) in the hot rolling temperature range (800°C–1100°C) is studied in particular, but also some observations are made regarding the influence of Cr alloying. Microstructures are examined in optical and electron microscopes. The results are compared with corresponding properties of carbon and austenitic stainless steels. In addition, the mechanical properties are studied briefly, using tension tests over the temperature range from -80°C to 200°C. Finally, a preliminary study is conducted on the corrosion behaviour of TWIP steels in two media, using the potentiodynamic polarization technique. The results show that the flow stress level of high-Mn TWIP steels is considerably higher than that of low-carbon steels and depends on the Al concentration up to 6 wt.%, while the structure is fully austenitic at hot rolling temperatures. At higher Al contents, the flow stress level is reduced, due to the presence of ferrite. The static recrystallisation kinetics is slower compared to that of carbon steels, but it is faster than is typical of Nb-microalloyed or austenitic stainless steels. The high Mn content is one reason for high flow stress as well as for slow softening. Al plays a minor role only; but in the case of austenitic-ferritic structure, the softening of the ferrite phase occurs very rapidly, contributing to overall faster softening. The high Mn content also retards considerably the onset of dynamic recrystallisation, but the influence of Al is minor. Similarly, the contribution of Cr to the hot deformation resistance and static and dynamic recrystallisation, is insignificant. The grain size effectively becomes refined by the dynamic and static recrystallisation processes. The tensile testing of TWIP steels revealed that the Al alloying and temperature have drastic effects on the yield strength, tensile strength and elongation. The higher Al raises the yield strength because of the solid solution strengthening. However, Al tends to increase the stacking fault energy that affects strongly the deformation mechanism. In small concentrations, Al suppresses martensite formation and enhances deformation twinning, leading to high tensile strength and good ductility. However, with an increasing temperature, SFE increases, and consequently, the density of deformation twins decreases and mechanical properties are impaired. Corrosion testing indicated that Al alloying improves the corrosion resistance of high-Mn TWIP steels. The addition of Cr is a further benefit for the passivation of these steels. The passive film that formed on 8wt.% Al-6wt.%Cr steel was found to be even more stable than that on Type 304 steel in 5–50% HNO3 solutions. A prolonged pre-treatment of the steel in the anodic passive regime created a thick, protective and stable passive film that enhanced the corrosion resistance also in 3.5% NaCl solution.

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Commercially pure aluminum, copper and silver samples were rolled at room and cryogenic temperatures until approximately 99% of thickness total reduction, causing deformation (ε) between 3.93 and 4.61 Although not in balance state, the metals tend to have more defects density when cryo rolled, especially higher dislocation density, evidenced by calculations based on X-ray data for copper and silver. Higher defects density implies superior hardness, tensile strength limit and yield strength, but smaller elongation. There was evidence of stacking fault energy (SFE) influence in the process, evaluating hardness and properties obtained through tensile tests of the materials. The cryogenic temperature (CT) and room temperature (RT) rolled samples were evaluated by hardness tests, tensile tests, scanning electron microscopy (SEM) and X-ray diffraction (XRD), which indicate influence of stacking fault energy (SFE) on process. The hardness of all the materials tend to drop when they are kept at RT after cryo rolling and bigger larger hardness decrease was observed for silver, which one has the lowest SFE and slightest hardness decreased was noticed for aluminum, which has high SFE. There is evidence that cryo rolling is more attractive for low SFE materials after ageing at RT, as long as silver presented simultaneous increase in higher tensile strength of about 53% and 29% gain of elongation when compared to the same one rolled at RT. Elongation gain of silver can be associated to static recrystallization, as evidenced contrasting silver’s tensile charts after ageing and recrystallized silver. In turn, copper presented 15% of strength limit increase and just 5% elongation, whereas aluminum had both strength limit and elongation reduced.
Amostras de alumínio, cobre e prata comercialmente puros foram laminadas à temperatura ambiente (TA) e criogênica (TC) até aproximadamente 99% de redução total de espessura, causando deformações (ε) entre 3,93 e 4,61. Embora não seja em estado de equilíbrio, os metais tendem a possuir maior densidade de defeitos quando laminados criogenicamente, sobretudo maior densidade de discordâncias, evidenciado pelos cálculos baseados nos dados obtidos através difração de raios-X para cobre e prata. Uma quantidade maior de defeitos implica em maiores dureza e limites de escoamento e resistência, mas menor alongamento. Houve indícios da influência da energia de falha de empilhamento (EFE) no processo, avaliando-se a dureza e as propriedades obtidas através dos ensaios de tração dos materiais. A dureza de todos tende a cair quando mantidos em TA após a laminação criogênica e observou-se uma maior queda de dureza para a prata, que tem baixa EFE e uma menor queda de dureza para o alumínio, que tem elevada EFE. Há indicativos de que a laminação criogênica é mais vantajosa para metais de baixa EFE após envelhecimento em TA, visto que a prata apresentou um aumento simultâneo de limite de resistência de aproximadamente 53% e um ganho de 29% de alongamento quando comparado à mesma laminada em TA. O aumento de alongamento da prata pode ser associado à recristalização estática da mesma, como pode ser evidenciado comparando-se os gráficos de tração da prata após envelhecimento com a prata recristalizada. O cobre, por sua vez, apresentou um aumento de 15% do limite de resistência e apenas 5% de alongamento, enquanto o alumínio apresentou redução tanto do limite de resistência quanto de alongamento.

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Três metais CFC comercialmente puros (alumínio, cobre e prata) foram deformados por ensaios de tração uniaxial e caracterizados por difração de raios X in situ, utilizando uma fonte síncrotron, em temperatura ambiente (293K) e criogênica (77K). A supressão parcial da recuperação dinâmica decorrente do processamento criogênico permite melhorias nas propriedades mecânicas, tais como ductilidade e resistência. Esta supressão resulta em um aumento na densidade de defeitos internos dos metais durante a deformação, promovendo um refino microestrutural e aumento da microdeformação. O refino microestrutural é manifestado pela evolução de dimples na superfície de fratura e pela redução do tamanho médio de cristalitos. Todos os metais apresentaram maior resistência mecânica em temperaturas criogênicas, entretanto somente o cobre e a prata apresentaram aumento de ductilidade. Esse comportamento é atribuído à menor energia de defeito de empilhamento destes metais em comparação com o alumínio.
Three FCC commercially pure metals (aluminum, copper and silver) were deformed by uniaxial tensile tests and were characterized by in situ X-ray diffraction, using a synchrotron source, at room (293K) and cryogenic (77K) temperatures. The partial suppression of dynamic recovery due to cryogenic processing allows an improvement in mechanical properties, such as ductility and strength. This suppression results in an increase in the internal defects density of metals during the strain, promoting microstructural refining and increase of microstrain. The microstructural refinement is manifested by dimples evolution on the fracture surface and reduction of average crystallite size. All metals present higher mechanical strength at cryogenic temperature, nevertheless the ductility only was increased in copper and silver. This behavior is attributed to lower stacking fault energy of these metals in comparison with aluminum.

Les aciers TWIP se déforment par maclage et par glissement de dislocations, avec pour conséquence de forts taux d’écrouissage. Les mécanismes de déformation sont contrôlés par l’énergie de faute d’empilement (EFE). Un modèle de prévision de l’EFE et une régression de TNéel (transition antiferro/paramagnétique) de l’austénite sont proposés pour les systèmes FeMnXC (X = Cu, Cr, Al, Si et Ti). Les nuances FeMnCuC étudiées ont une EFE plus faible que la nuance de référence Fe22Mn0,6C. La formation de martensite [epsilon]?se substitue au maclage, sans dégradation des caractéristiques mécaniques en traction. La contrainte d'écoulement diminue avec la teneur en carbone et la formation de martensite [alpha]' aux plus basses EFE réduit l'allongement à rupture. La substitution d'une partie du manganèse par du cuivre permet un gain de 20% sur le module d'Young à température ambiante, en abaissant TNéel en dessous de 0ºC. La précipitation intragranulaire de carbures de vanadium augmente la limite d’élasticité mais n’influence pas le taux d’écrouissage. Aucune interaction entre précipités et macles n'a été observée en microscopie. Les calculs de cohérence et les mesures au MET montrent que les carbures ont une relation d'orientation avec l'austénite et sont semi-cohérents avec une faible cohérence résiduelle. Les contraintes induites ne semblent pas suffisantes pour piéger de grandes quantités d'hydrogène. Les alliages FeMnC + TiC présentent un fort durcissement par effet composite en début de déformation, tandis que l'écrouissage par effet TWIP n'est pas modifié par la présence des particules TiC. Cependant, le clivage des précipités primaires de grande taille réduit l'allongement à rupture
TWIP steels deformation occurs by twinning and by dislocations gliding which leads to high a strain hardening. The deformation mechanisms are controlled by the stacking fault energy (SFE). A model for the prediction of the SFE and a law for TNéel (antiferro to paramagnetic transition) for austenite are proposed in FeMnXC systems (X = Cu, Cr, Al, Si et Ti). The studied FeMnCuC grades have a lower SFE than the Fe22Mn0,6C reference. The formation of [epsilon]-martensite replaces twinning without any deterioration of the mechanical properties. The flow stress decreases with the carbon content and the formation of [alpha]'-martensite at the lowest SFEs reduces the elongation to fracture. Substituting a part of the manganese content by copper leads to a 20% increase of the Young's Modulus at room temperature by decreasing TNéel below 0ºC. The precipitation of intragranular vanadium carbide increases the yield stress but does not influence the strain hardening rate. No interaction between precipitates and twins has been observed by microscopy. The coherency calculations and the TEM observations show that the carbides have an orientation relation with the austenite and are semi-coherent with a low residual coherency. The resulting stresses do not seem to be high enough to trap large quantities of hydrogen. The FeMnC + TiC alloys exhibit a strong hardening by composite effect at the beginning of deformation, while the strain hardening due to TWIP effect is not modified by the presence of the TiC particles. Meanwhile, cleavage occurs in the largest primary precipitates, which reduces the elongation to fracture

This Master’s thesis is focused on theoretical study of the high entropy alloy CoCrNi using ab initio calculations. The focus was on the effect of short range order on the relative stability of FCC and HCP structures and the value of stacking fault energy.The results show increase of stability in both types of structures wtih decreasing number of Cr-Cr nearest neighbours. The effect of the number of Cr-Cr nearest neighbours on the stacking fault energy previously shown in literature was not observed. However the strong dependency was found on the change of short range order caused by the shift of (1 1 1) planes after the transformation from the FCC to HCP structure. The effect of interstitial atoms C a N was also studied. Both these interstitials stabilise FCC structure and thus cause the increase of stacking fault energy. Both interstitials prefer octahedral positions with higher amount of Cr in their nearest neighbour shell.

Durant cette thèse, on s’intéresse à l’application et au développement d’une théorie de mécanique des champs de dislocations et de désinclinaisons pour modéliser de façon continue les structures de cœur des dislocations et des joints de grains ainsi que leurs interactions. Le vecteur de Burgers/Frank des dislocations/désinclinaisons est régularisé par l’introduction d’un tenseur densité de dislocations/désinclinaisons. A ces densités de défauts sont associées des déformations et des courbures élastiques et plastiques incompatibles responsables de champs de contraintes et de moments de contraintes internes. Le mouvement des défauts produit de la plasticité et est pris en compte par des équations de transport qui font intervenir des forces motrices agissant sur les densités de défauts. Dans un premier temps, les désinclinaisons sont ignorées et nous appliquons la théorie de champ de dislocations seule pour étudier les structures de cœur de dislocations planaires en comparaison avec le modèle de Peierls-Nabarro. La relaxation d’une structure de cœur de dislocation coin initiale arbitraire révèle un étalement infini des densités de dislocations sous l’action de leur propre champ de contrainte interne. Pour stopper cette relaxation infinie, nous proposons d’ajouter une énergie de misfit dans notre modèle. Cette dernière donne lieu à une contrainte de rappel qui s’oppose à l’étalement des cœurs de dislocations et permet d’obtenir des configurations équilibrées. On retrouve la solution de Peierls-Nabarro si on utilise un potentiel sinusoïdal pour l’énergie. Nous substituons ensuite ce potentiel par des énergies de fautes d’empilement généralisées obtenues à partir de simulations atomistiques pour modéliser la dissociation des dislocations et leur mouvement dans le zirconium et le titane. Dans un deuxième temps, nous considérons la théorie complète et nous développons des lois d’élasticité constitutives qui sont propres aux défauts cristallins. Nous proposons qu’en plus des tenseurs élastiques habituels, des tenseurs d’élasticité additionnels existent au niveau du cœur des défauts et relient respectivement les contraintes aux courbures et les moments de contraintes aux déformations. Ces tenseurs sont de nature non locale par définition à cause des relations cinématiques entre déformations et courbures. Ils sont non nuls au niveau des cœurs des défauts où les hétérogénéités de déformations et de courbures sont fortes et deviennent nuls loin des défauts par centrosymétrie. On applique ces nouvelles lois d’élasticité à des distributions de dislocations et de désinclinaisons. On montre que les termes non locaux donnent lieu à des contraintes/moments de contraintes de rappel qui s’opposent aux parties locales. Dans le cas de la dislocation coin, on montre que sa représentation avec un dipôle de désinclinaison coin permet d’obtenir une configuration équilibrée sans l’ajout d’énergie de misfit. On étudie ensuite les interactions élastiques entre dislocations et joints de grains
In this contribution, we apply and develop a mechanical theory of dislocation and disclination fields, to model in a continuous way the core structure of dislocations and grain boundaries, as well as their interactions. The Burgers/Frank vector of dislocations/disclinations is regularized by the introduction of dislocation/disclination density tensors. Incompatible elastic and plastic strains and curvatures are associated to these defect densities and they lead to internal stress and couple stress fields. The motion of defects yields plasticity. It is accounted for by transport equations, where driving forces act on the defect densities. First, we overlook disclinations and we apply the pure dislocation model to investigate the structure of planar dislocation cores, in comparison with the Peierls-Nabarro model. The self-relaxation of an initially arbitrary core structure of an edge dislocation reveals that an infinite spreading of the dislocation density occurs under its own stress field. To stop this endless relaxation, we propose to add a misfit energy in our model. The latter yields a restoring stress that opposes to the spreading of dislocation cores and allows predicting equilibrium core structures. We retrieve the Peierls-Nabarro solution when we use a sinusoidal potential for the misfit energy. We then substitute this sinusoidal potential for generalized stacking fault energies as obtained from atomistic simulations, in order to model the dissociation and motion of dislocations in zirconium and titanium. Second, we consider the full theory and we develop elastic constitutive laws that are specific to crystal defects. We propose that in addition to standard elasticmoduli tensors, additional elastic tensors exist in the core regions of defects and relate respectively stresses to curvatures and couple stresses to strains. These tensors are nonlocal by definition due to kinematic relations between strains and curvatures. They are non-zero in the core of defects, where strong heterogeneities of strains and curvatures occur, and they become progressively null far from the defects due to centrosymmetry. We apply these new elastic laws to distributions of dislocations and disclinations. We show that the nonlocal elastic tensors lead to restoring stresses and couple stresses that oppose to their local parts. In the framework of edge dislocations, we show that the representation using dipoles of wedge disclination cores allows predicting equilibrium structures without adding a misfit energy. We then investigate elastic interactions between dislocations and grain boundaries

In this work we study the interesting physics of the rare earths, and the microscopic state after ultrafast magnetization dynamics in iron. Moreover, this work covers the development, examination and application of several methods used in solid state physics. The first and the last part are related to strongly correlated electrons. The second part is related to the field of ultrafast magnetization dynamics. In the first part we apply density functional theory plus dynamical mean field theory within the Hubbard I approximation to describe the interesting physics of the rare-earth metals. These elements are characterized by the localized nature of the 4f electrons and the itinerant character of the other valence electrons. We calculate a wide range of properties of the rare-earth metals and find a good correspondence with experimental data. We argue that this theory can be the basis of future investigations addressing rare-earth based materials in general. In the second part of this thesis we develop a model, based on statistical arguments, to predict the microscopic state after ultrafast magnetization dynamics in iron. We predict that the microscopic state after ultrafast demagnetization is qualitatively different from the state after ultrafast increase of magnetization. This prediction is supported by previously published spectra obtained in magneto-optical experiments. Our model makes it possible to compare the measured data to results that are calculated from microscopic properties. We also investigate the relation between the magnetic asymmetry and the magnetization. In the last part of this work we examine several methods of analytic continuation that are used in many-body physics to obtain physical quantities on real energies from either imaginary time or Matsubara frequency data. In particular, we improve the Padé approximant method of analytic continuation. We compare the reliability and performance of this and other methods for both one and two-particle Green's functions. We also investigate the advantages of implementing a method of analytic continuation based on stochastic sampling on a graphics processing unit (GPU).

Les futurs réacteurs nucléaires de IVème Génération doivent répondre à de nouvelles exigences en matière de sureté, d’efficacité énergétique, et d’intégration dans le cycle du combustible nucléaire. Pour répondre à cette demande, le CEA développe de nouveaux concepts de réacteurs à neutrons rapides refroidis au sodium. Le matériau de gainage combustible candidat pour le cœur de ces réacteurs est l’acier 15-15Ti AIM1 (Austenitic Improved Material #1). Il s’agit d’un acier inoxydable austénitique avancé contenant 15% de chrome et 15% de nickel en masse, stabilisé au titane et utilisé à l’état faiblement écroui.Cet acier présente une singularité marquée de comportement : sa ductilité diminue fortement entre 20 et 200°C, ce qui se traduit par une diminution d’un facteur proche de 3 des allongements homogène et à rupture dans cet intervalle de température. Par ailleurs, l’effet du vieillissement thermique sur sa microstructure et son comportement mécanique reste peu connu aux températures les plus basses des conditions de service en réacteur, c’est-à-dire entre 400 et 600°C. Dans ce contexte, le but de cette thèse est double :- Améliorer notre compréhension des mécanismes de déformation responsables de la singularité de comportement constatée à 200°C ; - Etudier l’influence d’un vieillissement hors flux dans une gamme de température comprise entre 400 et 600°C sur les évolutions microstructurales et sur le comportement en traction incluant la singularité de comportement.Elucider l’origine de la singularité de comportement en lien avec les mécanismes de déformation a requis une approche multi-échelle regroupant des techniques comme les essais de traction, la diffraction des électrons rétrodiffusés (EBSD) et la Microscopie Electronique en Transmission (MET). Elles ont permis de révéler :- Une coexistence du maclage et du glissement de dislocations parfaites à 20°C ;- Une prédominance du glissement de dislocations parfaites associée à du glissement dévié à 200°C ;- Une hausse continue de l’Energie de Défaut d’Empilement (EDE) entre 20 et 200°C, avec des valeurs respectivement de 27 mJ/m² et de 46 mJ/m².Ainsi, nous avons pu établir que l’évolution des mécanismes de déformation entre 20 et 200°C s’explique par une compétition entre le maclage et le glissement dévié pour minimiser l’énergie totale du matériau. Il apparaît que l’activation du maclage à 20°C conduit à un durcissement important de la microstructure par effet Hall-Pech dynamique, ce qui se traduit par une ductilité élevée. Au contraire, l’activation du glissement dévié associée à la disparition du maclage à 200°C résulte en un durcissement limité de la microstructure responsable d’une localisation précoce de la déformation.Pour des vieillissements entre 400 et 600°C et des temps de maintien allant jusqu’à 1000 h, on ne perçoit pas d’indice notable de restauration. En revanche, des examens au MET permettent de déterminer un nouveau seuil d’apparition des carbures de titane (TiC) nanométriques pour un maintien isotherme de 5000 h à 500°C. En traction, on constate sur tous les états vieillis entre 400 et 600°C un gain à la fois en résistance mécanique (Rm) et en ductilité (Ag et At) par rapport à l’état initial écroui. Il est à noter que le gain très significatif en ductilité constatée sur toute la plage de température testée (entre 20 et 400°C) est couplé à une augmentation du coefficient d’écrouissage. Une hypothèse proposée pour expliquer cette évolution de comportement repose sur le rôle des TiC nanométriques (ou leurs précurseurs) susceptibles d’épingler les dislocations. Notamment, ils empêcheraient les dislocations initialement présentes dans l’acier de s’annihiler ou se recombiner avec les dislocations introduites par l’essai de traction
The fourth generation of nuclear reactors must meet new requirements for safety, energy efficiency, and integration into the nuclear fuel cycle. The CEA is a primary actor in this field and is developing new concepts for sodium-cooled fast reactors. The fuel cladding material being considered for these reactors is 15-15Ti AIM1 steel (Austenitic Improved Material #1), which is an advanced austenitic stainless steel containing 15-wt% chromium and 15-wt% nickel, Ti-stabilized and slightly cold-worked. This steel exhibits a singular loss of ductility between 20 and 200°C: the uniform and total elongations (UE and TE) are reduced by a factor of 3 in this temperature range. In addition, the effect of thermal aging on the microstructure and mechanical behavior is poorly known in the lowest operating conditions that are between 400 and 600°C. In this context, the objectives of this Ph.D. thesis are: - Increase our knowledge of the deformation mechanisms involved in the singular behavior at 200°C ; - Study the influence of a thermal aging between 400 and 600°C on the microstructural evolutions and on the mechanical behavior, with particular attention on the singularity at 200°C. Examining the relation between the singular behavior at 200°C and the related deformation mechanisms required a multi-scale approach combining techniques such as tensile tests, Electron Backscatter Diffraction (EBSD), and Transmission electron Microscopy (TEM). The analyses revealed: - A coexistence of twinning and perfect slip at 20°C;- An extinction of twinning replaced by a predominance of perfect slip associated with cross-slip at 200°C;- A continuous increase of the Stacking Fault Energy (SFE) from 20 to 200°C. In particular, the measured values are respectively 27 mJ/m² and 46 mJ/m². The evolution of the deformation mechanisms of 15-15Ti AIM can be explained by a competition between twinning and cross-slip for releasing the strain energy of the material. At 20°C, both dislocation glide and twinning are active, and the twinning produces a “Dynamic Hall-Petch Effect”, which produces continual strain hardening of the microstructure even at high strains, which leads to high ductility. On the other hand, the stacking fault energy is high at 200°C, so twinning no longer occurs, but cross-slip becomes active. Thus, little strain hardening occurs at 200°C, which leads to the rapid onset of strain localization and reduced ductility.Samples that were aged between 400 and 600°C for 1000 hours exhibit no evidence of material recovery. However, TEM observations established a new threshold for the precipitation of nanometric titanium carbides after an isothermal treatment at 500°C for 5000 hours. Concerning the tensile properties, the aged states present a gain both in strength (especially in Ultimate Tensile Strength) and in ductility (UE, TE) compared to the initial cold-worked state. This gain in ductility is observed for all of the temperatures tested (between 20 and 400°C) and is accompanied by an increase of the strain hardening rate of the material. One plausible hypothesis to explain this improvement of the mechanical behavior relies on the nanometric titanium carbides formed during the aging process. These precipitates could prevent by pinning the initially present dislocations to recombine or annihilate with the dislocations introduced by the tensile test

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Dissertacao (Mestrado)
IPEN/D
Instituto de Pesquisas Energeticas e Nucleares - IPEN/CNEN-SP

Thesis (Ph.D.); Submitted to The University of California at Berkeley, Berkeley, CA (US); 1 Sep 2003.
Published through the Information Bridge: DOE Scientific and Technical Information. "LBNL--55022" Prilliman, Gerald Stephen. USDOE Director. Office of Science. Office of Basic Energy Sciences (US) 09/01/2003. Report is also available in paper and microfiche from NTIS.

Austenitic stainless steels are primarily known for their exceptional corrosion resistance. They have the face centred cubic (FCC) structure which is stabilised by adding nickel to the Fe-Cr alloy. The Fe-Cr-Ni system can be further extended by adding other elements such as Mn, Mo, N, C, etc. in order to improve the properties. Since austenitic stainless steels are often used as structural materials, it is important to be able to predict their mechanical behaviour based on their composition, microstructure, magnetic state, etc. In this work, we investigate the plastic deformation behaviour of austenitic stainless steels by theoretical and experimental approaches. In FCC materials the stacking fault energy (SFE) plays an important role in the prediction of the deformation modes. Based on the magnitude of the SFE different deformation modes can be observed such as martensite formation, deformation twinning, dissociated or undissociated dislocation glide. All these features influence the behaviour differently, therefore it is desired to be able to predict their occurrence. Alloying and temperature have strong effect on the SFE and thus on the mechanical properties of the alloys. Several models based on the SFE and more recently on the so called generalised stacking fault energy (GSFE or γ-surface) are available to predict the alloy's affinity to twinning and the critical twinning stress representing the minimum resolved shear stress required to initiate the twinning deformation mechanism. One can employ well established experimental techniques to measure the SFE. On the other hand, one needs to resort to ab initio calculations based on density functional theory (DFT) to compute the GSFE of austenitic steels and derive parameters like the twinnability and the critical twinning stress.  We discuss the effect of the stacking fault energy on the deformation behaviour for two different austenitic stainless steels. We calculate the GSFE of the selected alloys and based on different models, we predict their tendency for twinning and the critical twinning stress. The theoretical predictions are contrasted with tensile tests and electron backscatter diffraction (EBSD) measurements. Several conventional and in situ tensile test are performed to verify the theoretical results. We carry out EBSD measurements on interrupted and fractured specimens and during tensile tests to closely follow the development of the microstructure. We take into account the role of the intrinsic energy barriers in our predictions and introduce a new and so far unique way to experimentally obtain the GSFE of austenitic stainless steels. Previously, only the SFE could be measured precisely by well-designed experiments. In the present thesis we go further and propose a technique that can provide accurate unstable stacking fault energy values for any austenitic alloy exhibiting twinning.
Austenitiska rostfria stål är främst kända för sin exceptionella korrosionsbeständighet. De har en ytcentrerad kubisk (FCC) struktur som stabiliseras genom att nickel tillsätts till Fe-Cr legeringen. Fe-Cr-Ni-systemet kan utökas ytterligare genom tillsats av andra element såsom Mn, Mo, N, C, etc. för att förbättra egenskaperna. Eftersom austenitiska rostfria stål ofta används som konstruktionsmaterial är det viktigt att kunna förutsäga deras mekaniska egenskaper baserat på deras sammansättning, mikrostruktur, magnetiska tillstånd, etc. I denna avhandling undersöker vi det plastiska deformationsbeteendet hos austenitiska rostfria stål både teoretiskt och experimentellt. I FCC material spelar staplingsfelsenergin (SFE) en viktig roll vid förutsägelsen av deformationsmekanism. Baserat på storleken av SFE kan olika deformationsmekanismer observeras, såsom martensitbildning, tvillingbildning, dissocierad eller odissocierad dislokationsglidning. Alla dessa funktioner påverkar beteendet på olika sätt, därför är det önskvärt att kunna förutsäga deras förekomst. Legering och temperatur har stark inverkan på SFE och därmed legeringarnas mekaniska egenskaper. Flera modeller, baserade på SFE och mer nyligen på den så kallade generaliserade staplingsfelenergin (GSFE eller γ-surface), är tillgängliga för att förutsäga legeringens benägenhet till tvillingbildning och den kritiska spänning som representerar den minsta upplösta skjuvspänningen som krävs för att initiera tvillingbildning. Man kan använda ab initio beräkningar baserade på täthetsfunktionalteori (DFT) för att beräkna GSFE för austenitiska stål och härleda parametrar som twinnability och kritisk tvillingsspänning. Vi diskuterar effekten av staplingsfelenergi på deformationsbeteendet för två olika austenitiska rostfria stål. Vi beräknar GSFE för de valda legeringarna och baserat på olika modeller, förutsäger vi deras tendens till tvillingbildning och den kritiska tvillingsspänningen. De teoretiska förutsägelserna jämförs med resultat från dragprov och bakåtspridd elektron diffraktion (EBSD). Flera konventionella och in situ dragprov utfördes för att verifiera de teoretiska resultaten. Vi utförde EBSD-mätningar på dragprov som avbrutits vid olika töjningar och efter brott samt med in situ dragprov för att följa utvecklingen av mikrostrukturen noggrant. Vi tar hänsyn till de inre energibarriärernas roll i våra förutsägelser och presenterar ett nytt sätt att experimentellt få GSFE av austenitiska rostfria stål. Tidigare kunde endast SFE mätas tillförlitligt genom väl utformade experiment. I den aktuella avhandlingen går vi vidare och föreslår en teknik som kan ge noggranna värden för den instabila staplingsfelenergin för alla austenitiska legeringar som uppvisar tvillingbildning.

碩士
國立成功大學
材料科學及工程學系
103
In this study evolution of texture and microstructure in nickel, copper and brass of fcc metals was investigated. X-ray diffraction and electron backscatter diffraction techniques were used to characterize microstructures and orientation distributions of specimens after 30, 60 and 90% thickness reductions. It was found that nickel and copper of high and medium SFE materials show Copper-type texture, and have high orientation densities along the whole β-fiber with increasing deformation. Micro-shear bands are formed when D orientation rotates to Copper and Goss orientation. For brass after 30% reduction the orientation of deformed grains changes from Copper {112} 〈111〉 to TC{552}〈115〉 close to Goss {110} 〈001〉. Furthermore, the texture type also changes from Copper to Brass type. After 90% cold rolling, shear bands occur in brass and the orientation changes from Goss{110}〈001〉 to Brass{110}〈112〉.

Plastic deformation of metals and alloys are invariably accompanied by the development of texture. The origin of texture is attributed to the deformation micro-mechanisms associated with processing. The face-centered cubic (FCC) metals and alloys are known to exhibit two distinct types of textures when subjected to large strain rolling deformation, namely, (i) Cu-type texture, commonly seen in high/medium stacking fault energy (SFE) materials, (ii) Bs-type texture in low SFE materials. The circumstances that could result in the formation of Bs-type texture in low SFE materials still remains an open question and no definite mechanism has been uniquely agreed upon. Apart from the SFE, grain size could also influence the deformation mechanism and hence the deformation texture. It is well known that in materials with grain sizes less than 100 nm (referred to as nano-crystalline materials), the microstructures contain large fraction of grain boundaries. This subsequently introduces a variety of deformation mechanisms in the microstructure involving grain boundary-mediated processes such as grain boundary sliding and grain rotation, in addition to slip and twinning. A clear understanding of texture evolution in nano-crystalline materials, particularly at large strains, is a topic that remains largely unexplored. The present work is an attempt to address the aforementioned issues pertaining to the evolution of deformation texture, namely, (i) the effect of SFE and (ii) the effect of grain size, in FCC metals and alloys. Nickel-cobalt alloys are chosen as the model system for the present investigation. The addition of cobalt to nickel leads to a systematic reduction of SFE as a function of cobalt content. In this thesis, three alloys of Ni-Co system have been considered, namely, nickel – 20 wt.% cobalt, nickel – 40 wt.% cobalt and nickel – 60 wt.% cobalt. For a comparison, pure nickel has also been subjected to similar study. Chapter 1 of the thesis presents a detailed survey of literature pertaining to the evolution of rolling textures in FCC metals and alloys, and chapter 2 includes the details of the experimental techniques and characterization procedures, which are commonly employed for the entire work. Chapter 3 addresses the effect of stacking fault energy on the evolution of rolling texture. The materials subjected to study in this chapter are microcrystalline Ni-Co alloys. The texture evolution in Ni-20Co is very similar to pure Ni, and a characteristic Cu-type rolling texture is observed. The evolution of texture in these materials is primarily attributed to the intense dislocation activity throughout the deformation stages. In Ni-40Co, a medium SFE material, the rolling texture was predominantly Cu-type up to a strain of ε = 3 (95% thickness reduction). However, beyond this strain level, namely at ε = 4 (98%), the texture gets transformed to Bs-type with orientations maxima predominantly close to Goss ({110} <001>) position. Simultaneously, the Cu component which was dominant until 95% reduction has completely disappeared. The analysis of microstructures indicate that deformation is mostly accommodated by dislocation slip up to 95%, however, at ε > 3, Cu-type shear bands get initiated, preferably in the Cu-oriented ({112} <111>) grains. The sub-grains within the shear bands show preferred orientation towards Goss, which indicates that the Cu component should have undergone transformation and resulted in high fraction of Goss component. In Ni-60Co alloy, Bs-type texture forms in the early stages of deformation (ε ~ 0.5) itself and further deformation results in strengthening of the texture with an important difference that the maximum in orientation distribution has been observed at a location close to Goss component, rather than at exact Bs-location. The development of Bs-type texture is accompanied by the complete absence of Cu and S components. Extensive EBSD analyses show that the deformation twinning gets initiated beyond 10% reduction and was found extensively in most of the grains up to 50% reduction. At higher strains, tendency for twinning ceases and extensive shear banding is observed. A non-random distribution of orientations close to Goss orientation was found within the shear bands. The near-Goss component in the Ni-60Co alloy can be explained on the basis of deformation twinning and shear banding. Thus, a reasonable understanding of the deformation texture transition in the extreme SFE range has been developed. In chapter 4, the effect of fine grain size on the evolution of rolling texture has been addressed. Nanocrystalline (nc) nickel-cobalt alloys with a mean grain size of ~20 nm have been prepared by pulse electro-deposition method. For a comparison, nc Nickel (without cobalt) with similar grain size has also been deposited. For all the materials, a weakening of the initial fiber texture is observed in the early stage of room temperature rolling (ε ~ 0.22). A combination of equiaxed grain microstructure and texture weakening suggests grain boundary sliding as an operative mechanism in the early stage of rolling. At large strain (ε = 1.2), Ni-20Co develops a Cu-type texture with high fractions of S and Cu components, similar to pure Ni. The texture evolution in Ni-40Co and Ni-60Co alloys is more towards Bs-type. However, the texture maximum occurs at a location 10° away from the Goss. The evolution of Cu and S components in nc Ni-60Co alloy takes place simultaneously along with the α-fiber components during rolling. Microstructural investigation by TEM indicates deformation twinning to be more active in all the materials up to 40% reduction. However, no correlation could be drawn between the texture evolution and the density of twins. The deformation of nc Ni-20Co alloy, is also accompanied by significant grain growth at all the stages of rolling. The increase in grain size, subsequently, renders the texture to be of Cu-type. However, Ni-40Co and Ni-60Co alloys show high grain stability. The absence of strain heterogeneities such as shear bands, and the lack of significant fraction of deformation twins indicate that the observed Bs-type texture could be due to planar slip. The increase in deformation beyond 70% reduction caused a modest reduction in the intensity of deformation texture. The microstructural observation indicates the occurrence of restoration mechanisms such as recovery/ recrystallization at large strains. The overall findings of the investigation have been summarized in chapter 5. The deformation mechanism maps relating stacking fault energy with amount of strain and with grain size are proposed for micro- and nano- crystalline materials respectively.

Plastic deformation of metals and alloys are invariably accompanied by the development of texture. The origin of texture is attributed to the deformation micro-mechanisms associated with processing. The face-centered cubic (FCC) metals and alloys are known to exhibit two distinct types of textures when subjected to large strain rolling deformation, namely, (i) Cu-type texture, commonly seen in high/medium stacking fault energy (SFE) materials, (ii) Bs-type texture in low SFE materials. The circumstances that could result in the formation of Bs-type texture in low SFE materials still remains an open question and no definite mechanism has been uniquely agreed upon. Apart from the SFE, grain size could also influence the deformation mechanism and hence the deformation texture. It is well known that in materials with grain sizes less than 100 nm (referred to as nano-crystalline materials), the microstructures contain large fraction of grain boundaries. This subsequently introduces a variety of deformation mechanisms in the microstructure involving grain boundary-mediated processes such as grain boundary sliding and grain rotation, in addition to slip and twinning. A clear understanding of texture evolution in nano-crystalline materials, particularly at large strains, is a topic that remains largely unexplored. The present work is an attempt to address the aforementioned issues pertaining to the evolution of deformation texture, namely, (i) the effect of SFE and (ii) the effect of grain size, in FCC metals and alloys. Nickel-cobalt alloys are chosen as the model system for the present investigation. The addition of cobalt to nickel leads to a systematic reduction of SFE as a function of cobalt content. In this thesis, three alloys of Ni-Co system have been considered, namely, nickel – 20 wt.% cobalt, nickel – 40 wt.% cobalt and nickel – 60 wt.% cobalt. For a comparison, pure nickel has also been subjected to similar study. Chapter 1 of the thesis presents a detailed survey of literature pertaining to the evolution of rolling textures in FCC metals and alloys, and chapter 2 includes the details of the experimental techniques and characterization procedures, which are commonly employed for the entire work. Chapter 3 addresses the effect of stacking fault energy on the evolution of rolling texture. The materials subjected to study in this chapter are microcrystalline Ni-Co alloys. The texture evolution in Ni-20Co is very similar to pure Ni, and a characteristic Cu-type rolling texture is observed. The evolution of texture in these materials is primarily attributed to the intense dislocation activity throughout the deformation stages. In Ni-40Co, a medium SFE material, the rolling texture was predominantly Cu-type up to a strain of ε = 3 (95% thickness reduction). However, beyond this strain level, namely at ε = 4 (98%), the texture gets transformed to Bs-type with orientations maxima predominantly close to Goss ({110} <001>) position. Simultaneously, the Cu component which was dominant until 95% reduction has completely disappeared. The analysis of microstructures indicate that deformation is mostly accommodated by dislocation slip up to 95%, however, at ε > 3, Cu-type shear bands get initiated, preferably in the Cu-oriented ({112} <111>) grains. The sub-grains within the shear bands show preferred orientation towards Goss, which indicates that the Cu component should have undergone transformation and resulted in high fraction of Goss component. In Ni-60Co alloy, Bs-type texture forms in the early stages of deformation (ε ~ 0.5) itself and further deformation results in strengthening of the texture with an important difference that the maximum in orientation distribution has been observed at a location close to Goss component, rather than at exact Bs-location. The development of Bs-type texture is accompanied by the complete absence of Cu and S components. Extensive EBSD analyses show that the deformation twinning gets initiated beyond 10% reduction and was found extensively in most of the grains up to 50% reduction. At higher strains, tendency for twinning ceases and extensive shear banding is observed. A non-random distribution of orientations close to Goss orientation was found within the shear bands. The near-Goss component in the Ni-60Co alloy can be explained on the basis of deformation twinning and shear banding. Thus, a reasonable understanding of the deformation texture transition in the extreme SFE range has been developed. In chapter 4, the effect of fine grain size on the evolution of rolling texture has been addressed. Nanocrystalline (nc) nickel-cobalt alloys with a mean grain size of ~20 nm have been prepared by pulse electro-deposition method. For a comparison, nc Nickel (without cobalt) with similar grain size has also been deposited. For all the materials, a weakening of the initial fiber texture is observed in the early stage of room temperature rolling (ε ~ 0.22). A combination of equiaxed grain microstructure and texture weakening suggests grain boundary sliding as an operative mechanism in the early stage of rolling. At large strain (ε = 1.2), Ni-20Co develops a Cu-type texture with high fractions of S and Cu components, similar to pure Ni. The texture evolution in Ni-40Co and Ni-60Co alloys is more towards Bs-type. However, the texture maximum occurs at a location 10° away from the Goss. The evolution of Cu and S components in nc Ni-60Co alloy takes place simultaneously along with the α-fiber components during rolling. Microstructural investigation by TEM indicates deformation twinning to be more active in all the materials up to 40% reduction. However, no correlation could be drawn between the texture evolution and the density of twins. The deformation of nc Ni-20Co alloy, is also accompanied by significant grain growth at all the stages of rolling. The increase in grain size, subsequently, renders the texture to be of Cu-type. However, Ni-40Co and Ni-60Co alloys show high grain stability. The absence of strain heterogeneities such as shear bands, and the lack of significant fraction of deformation twins indicate that the observed Bs-type texture could be due to planar slip. The increase in deformation beyond 70% reduction caused a modest reduction in the intensity of deformation texture. The microstructural observation indicates the occurrence of restoration mechanisms such as recovery/ recrystallization at large strains. The overall findings of the investigation have been summarized in chapter 5. The deformation mechanism maps relating stacking fault energy with amount of strain and with grain size are proposed for micro- and nano- crystalline materials respectively.

The future upcoming technologies in aerospace, transport and nuclear industries demand materials with superior mechanical properties that are also economically viable. The quest to achieve theoretical strength of material by various techniques has been the aim of many material scientists across the globe. The strength of a material depends on the resistance experienced by dislocations during plastic deformation and in a polycrystalline material, it has been found that strength varies inversely with grain size (d) according to Hall-Petch relationship σ=σ0+KHP d−0.5 where σ is the yield stress at grain size d, σ0 is a lattice frictional stress and KHP is the Hall-Petch coefficient. For T/Tm < 0.5, grain boundaries are stronger than grains and they obstruct easy motion of dislocation, thereby contributing to strengthening. Extensive research on enhancing strength by grain size refinement led to development of various plastic deformation techniques such as high-pressure torsion, accumulative roll bonding and equi-channel angular pressing. Electro-deposition is a bottom up technique which is also used to produce bulk nanocrystalline materials. Studies carried on nanocrystalline (nc) materials showed that below a critical grain size ≤ 10 nm, grain boundary mediated deformation processes such as grain boundary sliding and grain rotation are activated, leading to a saturation in strength or weakening. The above processes cannot be used easily for industrial scale. Wire drawing is an to be an alternate method for producing ultrafine grained and nc materials. For alloys with weak solid solution strengthening, strengthening by grain refinement is the only way of strengthening and strain hardenability in these materials primarily depends on their stacking fault energy. For a given strain and lower the stacking fault energy, higher is the difficulty in cross slip of dislocations and higher is the hardening. The present study primarily focuses on the effect of stacking fault energy on strength and microstructural evolution in Ni-Co alloys during wire drawing strain. The Ni-Co alloys with 33, 50 and 60 wt. % Co were vacuum arc melted, suction cast into 3 mm diameter rods followed by homogenization at 1473 K for 24 h in vacuum of 10-5 mbar. These were drawn to 1900 μm diameter, homogenized again at 1473 K in vacuum of 10-5 mbar for 12 h. The metallographically polished samples revealed mean linear intercept grain sizes ranging from 20 to 70 μm from images electron back scattered diffraction (EBSD). Wire drawing was carried at room temperature on a Instron universal testing machine with a specially designed cage to mount the wire drawing dies and a three jaw chuck to grip the wire which was mounted at fixed end of the Instron. Polycrystalline diamond dies were used with 30% reduction in area for each die. Ni-Co alloys of 500, 200 and 100 μm diameters corresponding to a drawing true strain of 2.88, 4.05 and 5.88 were obtained and used for further study. Microscopic analysis of these wires showed formation of micro bands during deformation. Grains sizes in drawn wires correspond to the width of the grains. Ni-60 Co wires showed finer and more equiaxed grains and unlike the Ni-33Co and Ni-50Co which had wider and more elongated grains. Bulk texture and EBSD analysis on polished samples showed that increasing addition of Co leads to an increase in <100> fiber faction and a decrease of <111> fiber fraction. Taylor factor (M) values calculated from EBSD were found to be lower for Ni 60 Co alloy (M = 2.75 to 3.14 ) unlike the Ni 50 Co and Ni 33 Co alloys (M = 3.07 to 3.24). Tensile testing of these samples showed higher strength and higher ductility for Ni-60 Co alloy. The strength and ductility increased with increasing wire drawing strain in Ni-60 Co alloy . The strain rate sensitivity (m) calculated from strain rate jumps on monotonic tensile tests showed m to be in the range of 0.010 to 0.016, with an increase with higher Co content. The stress relaxation tests on drawn samples showed a decrease in activation volumes with increasing wire drawing strain. The activation volumes also decreased with an increase in Co content. It decreased with increase in wire drawing strain suggesting the dislocation intersecting mechanism. The Ni Co alloys of 100 μm diameter annealed at temperatures ranging from 973 K - 1123 K for varying times had grain sizes ranging from 2 to 10 μm. The Hall – Petch coefficient (KHP) and lattice frictional stress (σ0) calculated from tensile tests showed no effect of SFE on them and these values were in agreement with pure Ni data available in literature. The KHP for drawn wires were found to be higher than annealed ones. X-ray line profile analysis carried out on drawn wires to measure dislocation densities by using Williamson Hall method were in order of 1015 m-2 suggesting nearing saturation. A semi-empirical model has been used to predict strength for drawn condition.