Academic literature on the topic 'Phase planes'

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Journal articles on the topic "Phase planes"

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Shimozaki, Toshitada, Takahisa Okino, C. G. Lee, and O. Taguchi. "A Limited Condition for Bifurcate or Trifurcate Kirkendall Planes in Multiple Phase Diffusion Couples." Defect and Diffusion Forum 297-301 (April 2010): 1487–92. http://dx.doi.org/10.4028/www.scientific.net/ddf.297-301.1487.

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In general, only one Kirkendall plane can be seen in a diffusion couple. However, bifurcate or trifurcate Kirkendall planes have been reported in Ti/TiAl3 or Co/CoSi2 multi-phase diffusion couples (M-couple) [1,2]. The authors [3] have previously shown a numerical technique to analyze the movement of multiple markers (M-M) embedded in a M-couple taking the molar volume change effect to the diffusion direction into account. Using this technique, one can visualize the places where vacancies (lattice planes) are annihilated or generated in the couple. Here, we try to demonstrate the bifurcate or trifurcate Kirkendall planes in the M-couple and clarify the limited conditions of bifurcate or trifurcate Kirkendall planes by using this numerical technique.
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Haq, Ayesha J., and P. R. Munroe. "Phase transformations in (111) Si after spherical indentation." Journal of Materials Research 24, no. 6 (June 2009): 1967–75. http://dx.doi.org/10.1557/jmr.2009.0249.

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Phase transformations in (111) Si after spherical indentation have been investigated by cross-sectional transmission electron microscopy. Even at an indentation load of 20 mN, a phase transformation zone including the high-pressure crystalline Si phases was observed within the residual imprints. The volume of the transformation zone, as well as that of the crystalline phases increased with the indentation load. Below the transformation zone, slip was found to occur on {311} planes rather than on {111} planes, usually observed on indentation of (100) Si. The distribution of defects was asymmetric, and for indentation loads up to 80 mN, their density was significantly lower than that reported for (100) Si. The experimental observations correlated well with modeling of the applied stress through ELASTICA.
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Kouh, Y. M., C. B. Carter, and H. Schmalzried. "The Spinel/Alumina Phase Boundary." Proceedings, annual meeting, Electron Microscopy Society of America 43 (August 1985): 216–17. http://dx.doi.org/10.1017/s042482010011800x.

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The formation of spinel during solid-state reactions between two oxides of the type A0 (e.g. Mg0) and B203 (e.g. A1203), has been extensively studied both from a theoretical viewpoint and an experimental one. The present paper will illustrate the structural aspects of the study of the spinel/sesquioxide interface. It has recently been shown by Carter and Schmalzried, that, when Co0 and A1203 react to form Co-Al spinel, the {111} oxygen planes in the spinel do not lie parallel to the (0001) oxygen planes in the parent alumina even though the oxygen ions are almost close-packed in both planes. The small rotation which is present implies that the mechanism whereby the alumina is transformed to spinel is not simply the glide of either isolated, or bundles of, Shockley partial-like transformation dislocations as had previously been assumed, but rather involves a new defect which causes a rotation of the oxygen sublattice.
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YEH, LI-MING. "HOMOGENIZATION OF TWO-PHASE FLOW IN FRACTURED MEDIA." Mathematical Models and Methods in Applied Sciences 16, no. 10 (October 2006): 1627–51. http://dx.doi.org/10.1142/s0218202506001650.

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In a fractured medium, there is an interconnected system of fracture planes dividing the porous rock into a collection of matrix blocks. The fracture planes, while very thin, form paths of high permeability. Most of the fluids reside in matrix blocks, where they move very slow. Let ε denote the size ratio of the matrix blocks to the whole medium and let the width of the fracture planes and the porous block diameter be in the same order. If permeability ratio of matrix blocks to fracture planes is of order ε2, microscopic models for two-phase, incompressible, immiscible flow in fractured media converge to a dual-porosity model as ε goes to 0. If the ratio is smaller than order ε2, the microscopic models approach a single-porosity model for fracture flow. If the ratio is greater than order ε2, then microscopic models tend to another type of single-porosity model. In this work, these results will be proved by a two-scale method.
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Leger, J. R., and G. J. Swanson. "Efficient array illuminator using binary-optics phase plates at fractional-Talbot planes." Optics Letters 15, no. 5 (March 1, 1990): 288. http://dx.doi.org/10.1364/ol.15.000288.

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Paidar, Václav, and Andriy Ostapovets. "Displacive Phase Transformations." Solid State Phenomena 150 (January 2009): 159–74. http://dx.doi.org/10.4028/www.scientific.net/ssp.150.159.

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Shear deformation and shuffling of atomic planes are elementary mechanisms of collective atomic motion that take place during displacive phase transformations. General displacements of atomic planes are examined, i.e. -surface type calculations extensively used for the stacking faults and crystal dislocations are applied to single plane shuffling and alternate shuffling of every other atomic plane producing in combination with homogeneous deformation the hcp structure (martensitic type) from the initial bcc structure (austenitic type). Similar approach considering shear type planar displacements leads to the Zener path between the bcc and fcc lattices. The effect of additional deformation required to obtain the close-packed atomic arrangements is examined as well. Finally, the influence of volume modification on phase transitions is investigated. The energies of various structural configurations are calculated using many-body potentials for the description of interatomic forces. Such atomic models are tested to check their suitability for investigation of the role of interfaces in the displacive structural transitions.
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Zhao, Xiaxia, Rong Mo, and Zhiyong Chang. "Enhanced geometric constraint-based phase unwrapping algorithm in binocular stereo vision fringe projection system." Insight - Non-Destructive Testing and Condition Monitoring 63, no. 9 (September 1, 2021): 540–46. http://dx.doi.org/10.1784/insi.2021.63.9.540.

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Phase unwrapping plays an important and central role in phase-based digital fringe projection profilometry. The unwrapping quality directly influences the three-dimensional measurement accuracy. Recently, an effective geometric constraint-based phase unwrapping algorithm has been proposed to obtain the continuous absolute phase map and the unwrapped phase accuracy was found to be high. However, in this technique the virtual depth plane at z = zmin is often created empirically, which increases the manual measurement error. For this reason, this paper proposes a method for accurately constructing the virtual plane and further applies it to phase unwrapping of objects with a larger depth range. In this method, a binocular stereo vision system is used as the measurement set-up for the virtual depth plane construction and a series of virtual depth planes at z = zimin (i ≥ 2) is automatically built using a computational framework. Then, the phase is unwrapped for each region according to the continuity of the unwrapped phase and a complete absolute phase map is obtained by merging the unwrapped phases in all regions for 3D reconstruction. In this process, the virtual depth planes are created automatically and quantitatively by the measurement system. No human intervention is required and it greatly reduces the manual measurement error. Experiments show that the artificial virtual planes can be built accurately and the phase is unwrapped correctly and readily.
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Iwai, Kazuhiko, Manabu Usui, and Shigeo Asai. "Alignment of Primary Phase of a Binary Alloy during Solidification." Advanced Materials Research 26-28 (October 2007): 563–65. http://dx.doi.org/10.4028/www.scientific.net/amr.26-28.563.

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A static magnetic field and an alternating current are imposed on a metallic alloy during solidification for a crystal alignment of the primary phase. A Sn-10%Pb is selected as a sample because its primary phase is expected to have an anisotropic nature in magnetic susceptibility. In the x-ray diffraction pattern of the sample solidified without the magnetic field, the first and second highest peaks are (101) and (211) planes. On the other hand, those solidified with the magnetic field are (200) and (220) planes which are magnetically preferred planes. That is, the primary phase crystals in the sample solidified with the magnetic field are aligned to the specific direction.
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Paidar, Václav. "Elemental Interfaces and Displacive Phase Transformations." Advances in Science and Technology 59 (September 2008): 63–68. http://dx.doi.org/10.4028/www.scientific.net/ast.59.63.

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Two basic processes, namely shear and shuffling of atomic planes can be considered as elementary mechanisms of displacive phase transformations. The atomistic models suitable to investigate the role of interfaces in the structural changes are tested. The many-body potentials are used for the description of interatomic forces. General displacements of atomic planes are examined, i.e. γ-surface type calculations extensively used for stacking fault and lattice dislocation analysis are applied to single plane shuffling and alternate shuffling of every other atomic plane producing in combination with homogeneous deformation the hcp structure. Similar approach considering shear type planar displacements leads to the Zener path between the bcc and fcc lattices. The effect of additional deformation required to obtain the close-packed atomic arrangements is analysed.
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Braga de Oliveira, Flávia, Gilberto Álvares da Silva, and Leonardo Martins Graça. "Defining the hematite topotaxial crystal growth in magnetite–hematite phase transformation." Journal of Applied Crystallography 53, no. 4 (June 18, 2020): 896–903. http://dx.doi.org/10.1107/s1600576720006305.

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Magnetite and hematite iron oxides are minerals of great economic and scientific importance. The oxidation of magnetite to hematite is characterized as a topotaxial reaction in which the crystallographic orientations of the hematite crystals are determined by the orientation of the magnetite crystals. Thus, the transformation between these minerals is described by specific orientation relationships, called topotaxial relationships. This study presents electron-backscatter diffraction analyses conducted on natural octahedral crystals of magnetite partially transformed into hematite. Inverse pole figure maps and pole figures were used to establish the topotaxial relationships between these phases. Transformation matrices were also applied to Euler angles to assess the diffraction patterns obtained and confirm the identified relationships. A new orientation condition resulting from the magnetite–hematite transformation was characterized, defined by the parallelism between the octahedral planes {111} of magnetite and rhombohedral planes \{10\bar {1}1\} of hematite. Moreover, there was a coincidence between one of the octahedral planes of magnetite and the basal {0001} plane of hematite, and between dodecahedral planes {110} of magnetite and prismatic planes \{11\bar {2}0\} of hematite. All these three orientation conditions are necessary and define a growth model for hematite crystals from a magnetite crystal. A new topotaxial relationship is also proposed: (111)Mag || (0001)Hem and (\bar {1}\bar {1}1)_{\rm Mag} || (10\bar {1}1)_{\rm Hem}.
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Dissertations / Theses on the topic "Phase planes"

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Platts, Emma. "Phase planes in the universe : chaotic cyclic universes and kicking Chameleons." Master's thesis, University of Cape Town, 2016. http://hdl.handle.net/11427/20520.

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This thesis consists of two main sections: chaotic cyclic cosmology and Chameleon gravity in the early universe. Both sections invoke a phase plane analysis as their commonality. The first explores a cyclic model, proposed by Ellis et al, that is in keeping with current observations. No exotic nor new physics is needed for the bounce nor the turnaround. The model is chaotic in nature and requires only that the universe is closed and that dark energy (at some time) decays. The second section contests the claim by Burrage et al. that Chameleon gravity is inconsistent in the early universe, unless constraints on its coupling mechanism are significantly increased. It is shown that the addition of a Dirac-Borne-Infeld (DBI) correction - a consistent, high energy modification - to the Chameleon dynamically renders it weakly coupled to matter. This is done without any fine-tuning and ensures the consistency of the Chameleon at all scales without infringing upon its crucial feature as a dark energy candidate: its elusive but prominent coupling to matter.
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Gladbach, Peter [Verfasser]. "A phase-field model of dislocations on parallel slip planes / Peter Gladbach." Bonn : Universitäts- und Landesbibliothek Bonn, 2017. http://d-nb.info/1130704823/34.

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Guénégou, Lionel. "Étude de structures planes anisotropes par la méthode du gradient de phase." Le Havre, 2007. http://www.theses.fr/2007LEHA0003.

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L'étude consiste à vérifier l'efficacité de la méthode du gradient de phase sur des structures planes anisotropes. Les dérivées partielles de la phase du coefficient de réflexion par rapport à la fréquence, à l'angle d'incidence et à l'angle azimutal sont étudiées. Les caractéristiques des ondes se propageant dans les plaques, à savoir les courbes de dispersion et de réémission, mais aussi les vitesses d'énergie sont obtenues simplement et précisément en étudiant ces dérivées. Cette méthode permet d'obtenir correctement les pôles fréquentiels et angulaires polaires et azimutaux en s'affranchissant de calculs dans les plans complexes. Elle permet d'estimer les composantes de la vitesse d'énergie en rendant inutile des calculs énergétiques fastidieux. Une étude expérimentale a été menée sur une plaque composite. La comparaison de la dérivée fréquentielle théorique dans le cas viscoélastique et de la dérivée fréquentielle expérimentale permet de résoudre en partie le problème inverse
This study deals with the validation of the phase gradient method for anisotropic plates. The derivatives of the phase of the reflection coefficient with respect to the frequency, the incidence angle and the azimutal angle are studied. The characteristics of the propagating waves in plates, that is to say the dispersion and the reemission curves, but also the energy velocities are simply and accurately obtained by studying those derivatives. The phase gradient method is shown to be an alternative method to root findings in the frequency and the angular complex planes and it permits to obtain good estimates of the frequency and the polar and azimuthal angular resonances. This method allows us to avoid heavy energetic calculations and to estimate the components of the energy velocity. An experimental study has been carried out with a viscoelastic composite plate. The comparative study of the theoritical and experimental frequency derivatives leads to partly solve the inverse problem
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Liang, Qiang. "Interfacial structure of delta phase in Inconel 718 and the selection of precipitate habit planes." Diss., Virginia Tech, 1996. http://hdl.handle.net/10919/37775.

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Vazirian, Milad. "AGE-RELATED DIFFERENCES IN THE LUMBOPELVIC KINEMATICS DURING THE TRUNK MOTIONS IN THE ANATOMICAL PLANES." UKnowledge, 2017. https://uknowledge.uky.edu/cbme_etds/45.

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Management and control of the low back pain as an important health problem in the industrial societies necessitates to investigate how the risk of this disease is affected by aging. Since the abnormalities of the lumbopelvic kinematics are related to the existence or risk of low back injuries, the objective of this dissertation was set to find the age-related differences in lumbopelvic kinematics when performing basic trunk motions reaching to range of motion in different anatomical planes. A cross-sectional study was designed where sixty asymptomatic individuals between 20–70 years old with no confounding health condition, no current or previous highly physically demanding occupation and a body mass index between 22 and 30, were divided in five equally-sized and gender-balanced age groups, and attended two sessions of data collection to perform three repetitions of self-selected slow and fast trunk forward bending and backward return, as well as one left and right lateral bending and axial twist. Following an extensive literature review, the lumbar contribution (LC) to the trunk motion, the mean absolute relative phase (MARP) between the thoracic and pelvic motions as well as variation in MARP under repetitive motions, denoted by deviation phase (DP) were selected and used for the assessment of age-related differences in lumbopelvic kinematics during forward bending and backward return tasks. Lumbopelvic kinematics during the lateral bending and axial twist tasks were assessed using the lumbar and pelvic ranges of motion (ROMs) and coupled motion ratios (CMRs) as respectively the maximum flexion/rotation in the primary (i.e., intended) and the secondary (i.e., coupled) planes of trunk motion, where the latter was normalized to the conjugate ROM for better comparison. The results showed age-related differences between the age groups above and under 50 years of age generally. A smaller LC during the forward bending and backward return tasks were observed in the older versus younger age groups, suggesting that the synergy between the active and passive lower back tissues is different between the older and younger people, which may affect the lower back mechanics. Also, smaller MARP and DP suggesting a more in-phase and more stable lumbopelvic rhythm were observed in the older versus younger age groups, which may be a neuromuscular strategy to protect the lower back tissues from excessive strain, in order to reduce the risk of injury. Furthermore, the coupled motion of lumbar spine in the transverse plane during the lateral bending to the left, and the coupled motion of pelvis in the sagittal plane during the axial twist to the right were larger in older versus younger age groups. In summary, the lumbopelvic kinematics changes with aging, especially after the age of 50 which implies alterations in the active and passive tissue responses to the task demands, as well as the neuromuscular control patterns. Drawing a conclusion regarding ii the effect of aging on the risk of low back pain from these results requires a further detailed knowledge on age-related differences in spinal active and passive tissue properties.
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Geri, Ismet. "Etude du double miroir à conjugaison de phase dans les matériaux photoréfractifs à deux centres profonds : Méthode de décompostion en ondes planes." Rouen, 1997. http://www.theses.fr/1997ROUES092.

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Cette étude porte sur le double miroir à conjugaison de phase (DPCM) dans des matériaux photoréfractifs possédant deux centres d'impuretés. Nous utilisons la méthode de décomposition en ondes planes des faisceaux, celle-ci permet d'évaluer la contribution de chacune des ondes planes constituant les faisceaux incidents et les ondes diffusées. Nous faisons varier le coefficient de couplage en changeant le rapport du nombre de sites occupés par les électrons au nombre de sites vides. On montre alors qu'un cristal faiblement dopé au cobalt peut être plus performant, en terme de gain seuil, que des cristaux non dopés ou fortement dopés. Le temps d'établissement du DPCM dans des cristaux à deux centres d'impuretés est plus lent que dans ceux à un centre. Par ailleurs, la qualité de la conjugaison de phase augmente lorsque l'amplitude des ondes diffusées diminue et elle est optimale lorsque le rapport des intensités pompe est égal à l'unité. Expérimentalement, nous avons éliminé la diffraction conique à l'aide d'un faisceau auxiliaire de forme annulaire. Les mesures de rendement de conversion, d'efficacité de couplage, et l'étude théorique montrent que la fidélité de conjugaison est optimale lorsque l'angle entre l'axe c et la direction nominale de propagation est égal à 45° et que l'angle moyen entre les deux faisceaux pompe est égal à 170°.
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Habib, Perez Olinda D. "An Analysis of Infant Bouncing at Different Spring Frequencies." Thèse, Université d'Ottawa / University of Ottawa, 2011. http://hdl.handle.net/10393/19897.

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Infants explore environments through repetitive movements which are constrained or facilitated by the environmental context. The current studies analyzed how typically developing infants bounced in four environments that differed by system natural frequency. Four pre-walking infants (age 9.7 months ±1.8) were placed in four spring conditions with natural spring frequencies of 0.9, 1.15, 1.27 and 1.56 Hz. All infants bounced above the natural spring frequency in all conditions suggesting that they do not solely behave like a mass-spring system. Two patterns of bouncing adaptations were identified. Three infants regulated bounce frequency, while one infant regulated the percentage of time on the ground. When infants matched their bounce frequency to the natural frequency, trunk vertical displacement and joint ranges of motion decreased across conditions and demonstrated a shift from non-spring like to circular spring-like phase planes. Moderate to high correlations were found for inter- and intra-limb coordination. Conversely, when an infant regulated time on the ground, trunk vertical displacement and joint ranges of motion remained the same across conditions and inter- and intra-limb correlations were low to moderate. Phase planes remained circular spring-like for this infant. Asymmetrical loading patterns and decreasing vertical ground reaction forces were found in all infants suggesting that a timing component is always regulated. The difference in bouncing pattern may be indicative of different bouncing skill level.
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Straukaitė, Jurgita. "Kelių elektrokardiogramų parametrų vaizdavimas fazinėse plokštumose." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100813_111054-57660.

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Darbe tyrėme veloergometrinių mėginių metu užregistruotus elektrokardiogramos parametrus JT ir RR, kurie gali atspindėti organizmo būklę: reguliacinę, aprūpininančiąją ir vykdančiąją sistemas. Nors šie parametrai ir pakankamai informatyvūs, tačiau dažnai esant nedideliems širdies ir kraujagyslių sutrikimams jokių pokyčių neparodo. Todėl reikalingi nauji analizės metodai, kurie padėtų atskleisti kokybiškai naują informaciją glūdinčią EKG parametruose ir jų kaitoje. Sukūrėme taikomoją programą, kuri parašyta „Matlab“ aplinkoje. Ši programa grupuoja duomenis, atlieka reikiamus skaičiavimus ir rezultatus, įvairius grafikus, pateikia vartotojui ekrane. Tyrimo eigoje sukūrėme tris metodus: EKG parametrų kitimo greičio skaičiavimo ir vaizdavimo fazinėje plokštumoje; EKG parametro glodumo koeficiento skaičiavimo ir vaizdavimo; EKG parametro duomenų grupavimo metodą, Pirmajame metode pastebėjome EKG JT parametro fazinių plokštumų kitimo greičių skirtumus tarp ligonių ir sveikų asmenų grupių, antrajame EKG JT parametro glodumo koeficiento a, o trečiajame EKG JT parametro sudarytų porų diskriminantų vidurkių skirtumus. Norėdami įsitikinti gautų hipotezių teisingumu pritaikėme šių metodų rezultatams neparametrinį Manio-Vitnio-Vilkoksono testą (ZM) su reikšmingumo lygmeniu . Gavome, kad gautos hipotezės yra teisingos. Tai yra pastebėti skirtumai yra reikšmingi tarp sveikų asmenų ir asmenų su tam tikrais kardiologiniais nusiskundimais grupių. Atliktas darbas – tai tik dar vienas žingsnis... [toliau žr. visą tekstą]
For correct specification human’s physiological state, it is very important to evaluate the changes of main human organism systems. In this paper, the parameters that characterize the function of periphery, regulation and supplying systems, JT and RR interval have been studied. Interpolation of discrete data from the physical load obtained by provocative incremental bicycle ergometry stress test was made by cubic spline. The differences for various groups of person (sportsmen and patients with ischemic heart disease) were investigated. EKG parameters were applied in three methods: EKG parameters changes in speed computing and imaging in phase plane, EKG parameters smoothness level calculation, EKG parameters data grouping method. The study revealed that the JT interval’s changes in speed reliably differences between healthy and ill people. Also JT parameter’s smoothness level and JT parameter’s discriminants difference between the groups.
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Muehlemann, Anton. "Variational models in martensitic phase transformations with applications to steels." Thesis, University of Oxford, 2016. https://ora.ox.ac.uk/objects/uuid:bb7f4ff4-0911-4dad-bb23-ada904839d73.

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This thesis concerns the mathematical modelling of phase transformations with a special emphasis on martensitic phase transformations and their application to the modelling of steels. In Chapter 1, we develop a framework that determines the optimal transformation strain between any two Bravais lattices and use it to give a rigorous proof of a conjecture by E.C. Bain in 1924 on the optimality of the so-called Bain strain. In Chapter 2, we review the Ball-James model and related concepts. We present some simplification of existing results. In Chapter 3, we pose a conjecture for the explicit form of the quasiconvex hull of the three tetragonal wells, known as the three-well problem. We present a new approach to finding inner and outer bounds. In Chapter 4, we focus on highly compatible, so called self-accommodating, martensitic structures and present new results on their fine properties such as estimates on their minimum complexity and bounds on the relative proportion of each martensitic variant in them. In Chapter 5, we investigate the contrary situation when self-accommodating microstructures do not exist. We determine, whether in this situation, it is still energetically favourable to nucleate martensite within austenite. By constructing different types of inclusions, we find that the optimal shape of an inclusion is flat and thin which is in agreement with experimental observation. In Chapter 6, we introduce a mechanism that identifies transformation strains with orientation relationships. This mechanism allows us to develop a simpler, strain-based approach to phase transformation models in steels. One novelty of this approach is the derivation of an explicit dependence of the orientation relationships on the ratio of tetragonality of the product phase. In Chapter 7, we establish a correspondence between common phenomenological models for steels and the Ball-James model. This correspondence is then used to develop a new theory for the (5 5 7) lath transformation in low-carbon steels. Compared to existing theories, this new approach requires a significantly smaller number of input parameters. Furthermore, it predicts a microstructure morphology which differs from what is conventionally believed.
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Mathias, Amanda Carolina. "Mudanças na dinâmica de sistemas a tempo contínuo sob forçamento externo." Universidade do Estado de Santa Catarina, 2013. http://tede.udesc.br/handle/handle/1979.

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Made available in DSpace on 2016-12-12T20:15:50Z (GMT). No. of bitstreams: 1 Amanda Mathias.pdf: 17286984 bytes, checksum: 891e17b6adb8d48e3e2650591dc52841 (MD5) Previous issue date: 2013-08-19
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Windows of periodicity are common in chaotic regions of discrete- and continuous-time nonlinear dynamical systems. For example, they appear as disconnected periodic regions embedded in a large chaotic region, in parameter planes. In this work we examined the changes in the dynamics in some known systems (Lorenz, Rössler and Chua) by the addition of an external sinusoidal forcing, where each system comprises a set of three first-order nonlinear autonomous differential equations. Initially, by variation of the amplitude d and keeping fixed the angular frequency ω of forcing, we show through numerical simulations, including parameter planes, phase-space trajectories and the largest Lyapunov exponent, that the sinusoidal forcing can produce order-chaos transitions. And a second time, with the variation in the two control parameters of the forcing (d, ω), we construct parameter planes to show that the forcing can produce order-chaos transitions and also of chaos-order transitions. Finally, assuming that for a system modeled by a set of three first order nonlinear autonomous differential equations it is possible to manipulate the dynamics of the system, with the addition of external sinusoidal forcing in one of equations in the system.
Janelas de periodicidade são comuns em regiões caóticas de sistemas dinâmicos não lineares a tempo contínuo e discreto. Por exemplo, elas aparecem como regiões periódicas separadas e imersas em uma grande região caótica nos planos de parâmetros. Neste trabalho examinamos a mudança na dinâmica de alguns sistemas conhecidos (Lorenz, Rössler e Chua) através da adição de um forçamento senoidal externo, onde cada sistema é composto por um conjunto de três equações diferenciais autônomas não lineares de primeira ordem. Num primeiro momento, pela variação da amplitude d e mantendo fixo a frequência angular ω do forçamento, nós mostramos através de simulações numéricas, incluindo planos de parâmetros, trajetórias do espaço de fase e o maior expoente de Lyapunov, que o forçamento senoidal pode produzir transições de ordem-caos. Num segundo momento, com a variação dos dois parâmetros de controle do forçamento (d, ω), utilizamos a construção de planos de parâmetros para mostrar que o forçamento pode produzir transições de ordem-caos e também transições de caos-ordem. Finalmente pressupomos que, para um sistema composto de três equações diferenciais autônomas não lineares de primeira ordem é possível manipular a dinâmica do sistema, com a adição do forçamento senoidal externo em uma das equações do sistema.
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Books on the topic "Phase planes"

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Diekmann, Andreas. On stability and control of SSTO spaceplane in super- and hypersonic ascending phase. Tokyo: National Aerospace Laboratory, 1991.

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Shoureshi, R. Final report of phase-II research on applications of active adaptive noise control to jet engines. [Washington, DC: National Aeronautics and Space Administration, 1993.

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Shoureshi, R. Final report of phase-II research on applications of active adaptive noise control to jet engines. [Washington, DC: National Aeronautics and Space Administration, 1993.

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United States. National Transportation Safety Board. Safety report: General aviation crashworthiness project : phase two, impact severity and potential injury prevention in general aviation accidents. Washington, D.C: The Board, 1985.

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United States. National Transportation Safety Board. Safety report: General aviation crashworthiness project : phase III, acceleration loads and velocity changes of survivable general aviation accidents. Washington, D.C: The Board, 1986.

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Gurtin, Morton E. Thermomechanics of evolving phase boundaries in the plane. Oxford [England]: Clarendon Press, 1993.

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Styrikovich, M. A. Two-phase cooling and corrosion in nuclear power plants. Edited by Polonskiĭ V. S, T͡S︡iklauri G. V, and Hewitt G. F. Washington: Hemisphere Pub. Corp., 1987.

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Environmental Resources Management (ERM) Group. Maryland Smart Siting: Phase III report. Annapolis, MD: Maryland Dept. of Natural Resources, 2006.

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Brown, Roger Allen. Improving support to CINC theater engagement plans: Phase I. Santa Monica, CA: RAND, 2001.

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Walker, Galal. Chinese out of the box: Lesson plans phase I. Columbus: Foreign Language Publications/The Ohio State University, 2011.

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Book chapters on the topic "Phase planes"

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Redfern, Darren, and Edgar Chandler. "Phase Planes." In The Maple® O.D.E. Lab Book, 91–99. New York, NY: Springer New York, 1996. http://dx.doi.org/10.1007/978-1-4612-2402-0_10.

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Kaldis, E., E. Liarokapis, N. Poulakis, D. Palles, and K. Conder. "A Refined Picture of the YBa2Cu3Ox Structure: Sequence of Dimpling-Chain Superstructures, 1D-Modulation of the Planes, Phase Separation Phenomena." In Stripes and Related Phenomena, 211–17. Boston, MA: Springer US, 2002. http://dx.doi.org/10.1007/0-306-47100-0_25.

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von Hehn, Svea, Nils I. Cornelissen, and Claudia Braun. "Phase 2: Planen." In Kulturwandel in Organisationen, 89–119. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-662-48171-4_4.

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Awrejcewicz, Jan. "Phase Plane and Phase Space." In Ordinary Differential Equations and Mechanical Systems, 295–327. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-07659-1_9.

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Layek, G. C. "Phase Plane Analysis." In An Introduction to Dynamical Systems and Chaos, 83–127. New Delhi: Springer India, 2015. http://dx.doi.org/10.1007/978-81-322-2556-0_3.

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Koçak, Hüseyin. "Phase Plane: Computation." In Encyclopedia of Applied and Computational Mathematics, 1151–56. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_347.

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Hubbard, John H., and Beverly H. West. "DiffEq, Phase Plane." In MacMath 9.0, 59–66. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4684-0390-9_9.

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Hubbard, John H., and Beverly H. West. "DiffEq, Phase Plane." In MacMath 9.2, 59–66. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/978-3-662-25368-7_9.

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Hubbard, John H., and Beverly H. West. "DiffEq, Phase Plane." In MacMath 9.2, 59–66. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4613-8378-9_9.

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Enns, Richard H., and George C. McGuire. "Phase-Plane Portraits." In Computer Algebra Recipes, 263–324. New York, NY: Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4613-0171-4_6.

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Conference papers on the topic "Phase planes"

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Gonzalez-Ramirez, E., E. de la Rosa Miranda, L. R. Berriel-Valdos, Tonatiuh Saucedo Anaya, Ismael de la Rosa Vargas, and Ma Auxiliadora Araiza Esquivel. "Phase unwrapping fitting local planes to phase gradient." In SPIE Optical Engineering + Applications, edited by Joanna Schmit, Katherine Creath, Catherine E. Towers, and Jan Burke. SPIE, 2012. http://dx.doi.org/10.1117/12.928891.

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Engay, Einstom L., and Percival F. Almoro. "Accelerated phase retrieval using intermediate planes." In 3D Image Acquisition and Display: Technology, Perception and Applications. Washington, D.C.: OSA, 2016. http://dx.doi.org/10.1364/3d.2016.jw4a.22.

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Guterman, Alexandre. "Phase velocity equalization using patterned reference planes." In 2016 IEEE International Symposium on Electromagnetic Compatibility - EMC 2016. IEEE, 2016. http://dx.doi.org/10.1109/isemc.2016.7571703.

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Anastasio, Mark A., and Daxin Shi. "Phase-contrast tomography using tilted detector planes." In Medical Imaging, edited by Michael J. Flynn. SPIE, 2005. http://dx.doi.org/10.1117/12.595882.

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Tippie, Abbie E., and James R. Fienup. "Phase error correction for multiple planes using sharpness metrics." In Optical Engineering + Applications, edited by Jean J. Dolne, Thomas J. Karr, and Victor L. Gamiz. SPIE, 2008. http://dx.doi.org/10.1117/12.795193.

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Monjaret, Cedric, Jean-Pierre Valor, and Laurent Serre. "Methodology for the study of LEA separation phase." In 17th AIAA International Space Planes and Hypersonic Systems and Technologies Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2011. http://dx.doi.org/10.2514/6.2011-2201.

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Ren, Zhaoxin, and Bing Wang. "Transition of oblique detonation wave in a two-phase hydrocarbon-air mixture." In 21st AIAA International Space Planes and Hypersonics Technologies Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-2329.

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Du, Yanxia, Guangming Xiao, Lei Liu, Dong Wei, Xiaofeng Yang, and Yewei Gui. "Study on the Thermal Characteristics of Composite Phase Change Materials for Thermal Management." In 21st AIAA International Space Planes and Hypersonics Technologies Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-2185.

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Bruel, Laurent. "Numerical phase retrieval from beam intensity measurements in three planes." In XXXIV Annual Symposium on Optical Materials for High Power Lasers: Boulder Damage Symposium, edited by Gregory J. Exarhos, Arthur H. Guenther, Norbert Kaiser, Keith L. Lewis, M. J. Soileau, Christopher J. Stolz, Adolf Giesen, and Horst Weber. SPIE, 2003. http://dx.doi.org/10.1117/12.472377.

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Ilovitsh, Tali, Asaf Ilovitsh, Aryeh Weiss, Rinat Meir, and Zeev Zalevsky. "Three-dimensional imaging using phase retrieval with two focus planes." In SPIE BiOS, edited by Thomas G. Brown, Carol J. Cogswell, and Tony Wilson. SPIE, 2016. http://dx.doi.org/10.1117/12.2205769.

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Reports on the topic "Phase planes"

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Iyer, Ananth V., Steven R. Dunlop, Anmol Guram Singh, Mihir Bhatia, and Sazzadur Rahman. Developing a Business Ecosystem around Autonomous Vehicle Infrastructure in Indiana. Purdue University, 2020. http://dx.doi.org/10.5703/1288284317088.

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INDOT will soon be embarking on infrastructure planning to accommodate autonomous vehicles. This new technology affords the ability to impact economic value creation across the supply chain in Indiana, as well as foster economic development in Indiana to support these emerging technologies. This proposal will be a first cut towards exploring the development of a strategy to realize this potential. Our proposal will consist of two phases. Phase 1: A focus on industry choices and plans that can inform INDOT choices. Phase 2: A focus on INDOT’s internal decision making, risk tolerance, and choices regarding infrastructure projects.
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O`Sullivan, G. A., and J. A. O`Sullivan. Trimode optimizes hybrid power plants. Final report: Phase 2. Office of Scientific and Technical Information (OSTI), July 1998. http://dx.doi.org/10.2172/656875.

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Young, Paul. Developing a General Contingency Planner, Phase 2. Fort Belvoir, VA: Defense Technical Information Center, June 1991. http://dx.doi.org/10.21236/ada238728.

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Pawelleck, Anja, Sabine Reisas, and Kerrin Riewerts. Scholarship of Teaching and Learning (SoTL) – Projekte planen, begleiten, dokumentieren. Kiel: Christian-Albrechts-Universität zu Kiel, March 2020. http://dx.doi.org/10.21941/7jt1-7v14.

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Die vorliegenden Materialien sollen Personen bei der Entwicklung, Durchführung und Bewertung von Projekten im Sinne des Konzepts Scholarship of Teaching and Learning (SoTL) unterstützen. Sie richten sich damit sowohl an Hochschullehrende, als auch an Hochschuldidaktiker*innen, denen das SoTL-Konzept bereits bekannt ist. Das vorliegende Dokument bestehen aus zwei Abschnitten: Einem Leitfragenkatalog und einem (Selbst-)Bewertungsraster zur systematischen Reflexion und Beforschung der eigenen Lehre. Beide Bereiche beziehen sich auf die unterschiedlichen Phasen eines SoTL-Prozesses und sind jeweils nach den folgenden Kategorien gegliedert: - Phasen des Forschungsprozesses (gelb) - Formale und wissenschaftliche Kriterien (blau) - (Selbst-)Reflexion, ethische Fragen und Einbezug der Studierenden (rot)
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Geissel, Matthias, Jens Schwarz, Ian C. Smith, and Jonathon Shores. Characterization of Distributed Phase Plates for use on Z-Beamlet. Office of Scientific and Technical Information (OSTI), September 2019. http://dx.doi.org/10.2172/1562365.

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Gorecki, Charles. Plains CO2 Reduction Partnership Phase III Final Report. Office of Scientific and Technical Information (OSTI), December 2019. http://dx.doi.org/10.2172/1580755.

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Rodrigo, Maria Fernanda, Claudia Figueroa, Oliver Peña-Habib, Xiomara Rojas-Asqui, and Melanie Putic. OVE's Review of Project Completion Reports (PCRs) and Expanded Supervision Reports (XSRs): The 2020 Validation Cycle. Inter-American Development Bank, November 2020. http://dx.doi.org/10.18235/0002944.

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This report summarizes the results of the Office of Evaluation and Oversight's (OVE) annual validation of the self-assessments of project performance and results completed by the Inter-American Development Bank (IDB) and IDB Invest in 2019-2020. The IDB and IDB Invest have systems in place to measure the development effectiveness of their operations. These systems use a number of instruments to assess projects at the design, implementation, and completion phases. The design-phase assessment uses a “Development Effectiveness Matrix” (DEM) for sovereign guaranteed (SG) operations. The effectiveness of non-sovereign guaranteed (NSG) operations is measured with a “Development Effectiveness Learning, Tracking, and Assessment tool” (DELTA). Implementation-phase assessments measure SG operations with “Project Monitoring Reports,” while NSG operations are assessed with “Project Supervision Reports.” Upon completion, SG projects are self-evaluated with “Project Completion Reports,” or PCRs. NSG operations, use “Expanded Supervision Reports,” or XSRs when they reach early operation maturity (EOM). OVE validates Managements self-evaluations (PCRs and XSRs) and assigns a final project performance rating to each operation. As part of the 2020 validation cycle, OVE reviewed PCRs for 63 operations, 62 with operational closure (CO fully justified) in 2018 and one in 2013. XSRs were reviewed for 36 IDB Invest operations that had reached early operating maturity (EOM) in 2018.
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Qi, Yan, Ryan Fries, Shambhu Saran Baral, and Pranesh Biswas. Evaluating the Costs and Benefits of Snow Fences in Illinois: Phase 2. Illinois Center for Transportation, November 2020. http://dx.doi.org/10.36501/0197-9191/20-020.

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Serving as a windbreak, properly sited and designed snow fences have been proven effective in mitigating the negative impacts of blowing snow. To achieve the best snow-control effects, the ideal locations for snow fences are usually outside the roadway right-of-way. Few efforts have been made to examine the economic efficiency of snow fences and explore ways to reward private landowners. The objective of this project was to develop methodologies for evaluation of the costs and benefits of snow fences in Illinois and identify ways to encourage private landowners’ participation in the snow fence program while keeping it cost-effective. The researchers conducted a literature review as well as agency and landowner surveys. They also acquired crash data, snow fence and blowing snow segment inventory data, and blowing snow removal expenditure data as well as performed benefit-cost analyses of three types of snow fences following Federal Highway Administration guides. The survey results suggested that standing corn rows (SCRs) and structural snow fences (SSFs) were the least intrusive options for landowners and living snow fences (LSFs) with trees were the most intrusive. Some concerns related to LSFs could be reduced by allowing landowners to play a role in the design and plant-selection process. The crash data indicated that no fatal and severe crashes occurred at snow fence segments, while several fatal and severe crashes occurred at blowing snow segments during 2012–2016. The results of the benefit-cost analyses showed that the benefit-cost ratios for LSFs and SSFs are comparable. However, LSFs are favorable over SSFs because little maintenance is needed after the plants are mature. Although SCRs have the highest benefit-cost ratio, the need to renew the agency-landowner agreement annually and the alternating of crops planted may limit their snow-control effectiveness and large-scale implementation. A tool was developed using MS Excel to facilitate the benefit-cost analysis of snow fences.
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Carter, R. J. Parking and routing information system phase 1 evaluation -- Individual evaluation test plans. Office of Scientific and Technical Information (OSTI), April 1997. http://dx.doi.org/10.2172/656847.

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Alan Bland, Allen Kephart, Volker Schmidt, and Gerald Butcher. Emissions, Monitoring, and Control of Mercury from Subbituminous Coal-Fired Power Plants - Phase II. Office of Scientific and Technical Information (OSTI), October 2008. http://dx.doi.org/10.2172/993829.

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