Journal articles: 'Isotropic hardening'

1

Moosbrugger, J. C. "Anisotropic Nonlinear Kinematic Hardening Rule Parameters From Reversed Proportional Axial-Torsional Cycling." Journal of Engineering Materials and Technology 122, no. 1 (July 14, 1999): 18–28. http://dx.doi.org/10.1115/1.482760.

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A procedure for determining parameters for anisotropic forms of nonlinear kinematic hardening rules for cyclic plasticity or viscoplasticity models is described. An earlier reported methodology for determining parameters for isotropic forms of uncoupled, superposed Armstrong-Frederick type kinematic hardening rules is extended. For this exercise, the anisotropy of the kinematic hardening rules is restricted to transverse isotropy or orthotropy. A limited number of parameters for such kinematic hardening rules can be determined using reversed proportional tension-torsion cycling of thin-walled tubular specimens. This is demonstrated using tests on type 304 stainless-steel specimens and results are compared to results based on the assumption of isotropic forms of the kinematic hardening rules. [S0094-4289(00)00301-7]

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HASHIGUCHI, Koichi, and Kazuo OKAMURA. "GS0301-107 Subloading crystal plasticity with isotropic and kinematic hardening." Proceedings of the Materials and Mechanics Conference 2015 (2015): _GS0301–10—_GS0301–10. http://dx.doi.org/10.1299/jsmemm.2015._gs0301-10.

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Jiang, Wei. "General Kinematic-Isotropic Hardening Model." Journal of Engineering Mechanics 125, no. 4 (April 1999): 487–90. http://dx.doi.org/10.1061/(asce)0733-9399(1999)125:4(487).

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Grammenoudis, P., and Ch Tsakmakis. "Isotropic hardening in micropolar plasticity." Archive of Applied Mechanics 79, no. 4 (April 29, 2008): 323–34. http://dx.doi.org/10.1007/s00419-008-0236-3.

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Rentmeester, Rikard, and Larsgunnar Nilsson. "On mixed isotropic-distortional hardening." International Journal of Mechanical Sciences 92 (March 2015): 259–68. http://dx.doi.org/10.1016/j.ijmecsci.2014.09.013.

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HAKANSSON, P., M. WALLIN, and M. RISTINMAA. "Comparison of isotropic hardening and kinematic hardening in thermoplasticity." International Journal of Plasticity 21, no. 7 (July 2005): 1435–60. http://dx.doi.org/10.1016/j.ijplas.2004.07.002.

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Chatterjee, Biplab, and Prasanta Sahoo. "Finite Element Based Unloading of an Elastic Plastic Spherical Stick Contact for Varying Tangent Modulus and Hardening Rule." International Journal of Surface Engineering and Interdisciplinary Materials Science 1, no. 1 (January 2013): 13–32. http://dx.doi.org/10.4018/ijseims.2013010102.

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Loading-unloading behavior of a deformable sphere with a rigid flat under full stick contact condition is investigated for varying strain hardening. The study considers various tangent modulus using the finite element software ANSYS. Both the bilinear kinematic hardening and isotropic hardening models are considered. Numerical simulation reveals the qualitative similarity between kinematic and isotropic hardening regarding the variation of interfacial parameters during loading-unloading for various tangent modulus. It is found that the material with kinematic hardening dissipates more energy than the material with isotropic hardening during unloading. However for elastic perfectly plastic material, the loading-unloading behavior is insensitive to hardening model.

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8

Borges, M. F., F. V. Antunes, P. A. Prates, and R. Branco. "A Numerical Study of the Effect of Isotropic Hardening Parameters on Mode I Fatigue Crack Growth." Metals 10, no. 2 (January 25, 2020): 177. http://dx.doi.org/10.3390/met10020177.

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The consideration of plastic crack tip opening displacement (CTOD, δp), as a crack driving force has given us the opportunity to predict fatigue crack growth (FCG) rate numerically, and, therefore, to develop parametric studies focused on the effect of loading, geometrical, and material parameters. The objective here is to study the effect of the isotropic hardening parameters of the Voce law on FCG, which are the isotropic saturation stress, YSat, and the isotropic saturation rate, CY. The increase of these hardening parameters causes δp to decrease. However, this effect is much more pronounced for YSat than CY. The variation is non-linear, and the rate of variation decreases with the increase of isotropic parameters. The increase of YSat increases the crack closure phenomenon. Finally, the influence of the isotropic parameters is more relevant for pure isotropic hardening than for mixed hardening.

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Khdir, Younis Kh. "Analytical and Numerical Investigation of Hardening Behavior of Porous Media." Polytechnic Journal 9, no. 2 (October 30, 2019): 1–10. http://dx.doi.org/10.25156/ptj.v9n2y2019.pp1-10.

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In this study, a comparative analysis is presented between a new proposed analytical model and numerical results for macroscopic behavior of porous media with isotropic hardening in its matrix. The macroscopic behavior of a sufficiently large representative volume element (RVE), with 200 identical spherical voids, was simulated numerically using finite element method and compared with elementary volume element that contains one void. The matrix of the porous material is considered as elasto-plastic with isotropic hardening obeys exponential law for isotropic hardening. A new parameter was added with exponential law for isotropic hardening to represent the new proposed analytical model for macroscopic isotropic porous hardening. The new added parameter B depended only on the porosity. The results of the new proposed analytical model were compared with numerical results for different types of cyclic loading. Very good agreements were found between the numerical results and the proposed analytical model.

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Muránsky, Ondrej, Cory J. Hamelin, Mike C. Smith, Phillip J. Bendeich, and Lyndon Edwards. "The Role of Plasticity Theory on the Predicted Residual Stress Field of Weld Structures." Materials Science Forum 772 (November 2013): 65–71. http://dx.doi.org/10.4028/www.scientific.net/msf.772.65.

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Constitutive plasticity theory is commonly applied to the numerical analysis of welds in one of three ways: using an isotropic hardening model, a kinematic hardening model, or a mixed isotropic-kinematic hardening model. The choice of model is not entirely dependent on its numerical accuracy, however, as a lack of empirical data will often necessitate the use of a specific approach. The present paper seeks to identify the accuracy of each formalism through direct comparison of the predicted and actual post-weld residual stress field developed in a three-pass 316LN stainless steel slot weldment. From these comparisons, it is clear that while the isotropic hardening model tends to noticeably over-predict and the kinematic hardening model slightly under-predict the residual post-weld stress field, the results using a mixed hardening model are quantitatively accurate. Even though the kinematic hardening model generally provides more accurate results when compared to an isotropic hardening formalism, the latter might be a more appealing choice to engineers requiring a conservative design regarding weld residual stress.

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Hayakawa, Kunio, Yukio Sanomura, Mamoru Mizuno, Yukio Kasuga, and Tamotsu Nakamura. "Finite Element Analysis of V-Bending of Polypropylene Using Hydrostatic-Pressure Dependent Plastic Constitutive Equation." Key Engineering Materials 340-341 (June 2007): 1103–8. http://dx.doi.org/10.4028/www.scientific.net/kem.340-341.1103.

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Finite element analysis of V-bending process of polypropylene was performed using hydrostatic-dependent elastic-plastic constitutive equations proposed by the present authors. Kinematic and isotropic hardening rule was employed for the plastic constitutive equations. The kinematic hardening rule was more suitable for the expression of the stress reversal in uniaxial stress - strain relation than the isotropic hardening. For the result of the finite element analysis of V-bending, the kinematic hardening rule was able to predict the experimental behavior of springback more properly than the isotropic hardening. Moreover, the effects of hydrostatic pressure-dependence were revealed by examining the calculated distribution of bending plastic strain, bending stress and the width of the bent specimen.

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Hu, Jing, Xiao Xing Li, Kwan Soo Chung, and Rao Yao. "Spring-Back Evaluation of Stretch Bending Process Based on Chaboche Combined Isotropic-Kinematic Hardening Laws." Advanced Materials Research 204-210 (February 2011): 1745–50. http://dx.doi.org/10.4028/www.scientific.net/amr.204-210.1745.

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We present a study on spring-back prediction in the stretching bending process using the Chaboche model combined isotropic-kinematic hardening law and Mises yielding criterion, and a material user subroutine (VUMAT, UMAT) program was developed base on the ABAQUS interface for the model. The effects of different hardening law on the spring-back in the stretch forming process was also analyzed and compared. The simulation results show that the combined isotropic-kinematic hardening law has the better spring-back prediction compared with the pure isotropic and kinematic hardening law in the stretch forming process, which is verified by the experimental results.

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Feng, Ji Ling, Shi Wen Wang, and Jian Guo Lin. "Multi-Resolution Material Hardening Law for CPFE Micro-Forming Analysis." Key Engineering Materials 716 (October 2016): 232–39. http://dx.doi.org/10.4028/www.scientific.net/kem.716.232.

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A new multi-resolution slip system-based material hardening law has been developed for micro-forming simulation using Crystal Plasticity Finite Element (CPFE) Approach. Material hardenings are formulated based on global and local hardening of dislocations for each slip system and defined with distinct physical meaning. Plasticity is assumed to arise solely from crystalline slip and the overall mechanical response with any crystallographic system, such as FCC, BCC, etc, can be addressed by a local hardening parameter, c, from 0 (pure anisotropic) to 1 (fully isotropic). No interaction matrix is necessary, since the latent hardening can be realized by the hardening factor , c , and the new dislocation density based hardening law can be implemented into existing FE software efficiently. The proposed equations are an extension of the existing hardening law from macro mechanics descriptions down to micro mechanics level, therefore unified constitutive equations had been established at multiscale resolution. Some features of the proposed hardening law will be demonstrated with a single cubic crystal under tension load.

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14

Chatterjee, Biplab, and Prasanta Sahoo. "Effect of Strain Hardening on Elastic-Plastic Contact of a Deformable Sphere against a Rigid Flat under Full Stick Contact Condition." Advances in Tribology 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/472794.

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The present study considers the effect of strain hardening on elastic-plastic contact of a deformable sphere with a rigid flat under full stick contact condition using commercial finite element software ANSYS. Different values of tangent modulus are considered to study the effect of strain hardening. It is found that under a full stick contact condition, strain hardening greatly influences the contact parameters. Comparison has also been made between perfect slip and full stick contact conditions. It is observed that the contact conditions have negligible effect on contact parameters. Studies on isotropic and kinematic hardening models reveal that the material with isotropic hardening has the higher load carrying capacity than that of kinematic hardening particularly for higher strain hardening.

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Roubíček, T., and M. Kružík. "Mesoscopic model for ferromagnets with isotropic hardening." Zeitschrift für angewandte Mathematik und Physik 56, no. 1 (January 2005): 107–35. http://dx.doi.org/10.1007/s00033-003-2108-6.

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16

Chung, Kwansoo, and Taejoon Park. "Consistency condition of isotropic–kinematic hardening of anisotropic yield functions with full isotropic hardening under monotonously proportional loading." International Journal of Plasticity 45 (June 2013): 61–84. http://dx.doi.org/10.1016/j.ijplas.2012.10.012.

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17

Cheong, B. H., J. Lin, and A. A. Ball. "Modelling of the hardening characteristics for superplastic materials." Journal of Strain Analysis for Engineering Design 35, no. 3 (April 1, 2000): 149–57. http://dx.doi.org/10.1243/0309324001514314.

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Combined analötical and numerical techniques and procedures have been developed to characterize the hardening due to grain growth for materials under superplastic deformation. The conventional grain growth rate equation is modified to enable accurate modelling of isothermal and plastic-strain-induced grain growths for different microstructures of a titanium alloö. A set of unified viscoplastic constitutive equations for Ti-6Al-4V at 927 °C, which incorporates isotropic hardening and grain growth, has been fullö determined from experimental data for different initial grain sizes and strain rates. Close agreement between the predicted and experimental stress-strain relationships is achieved. In addition, the contributions of hardening constituents, such as strain rate hardening, isotropic hardening and the hardening due to grain growth are modelled.

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18

Yan, Xiangqiao. "Effect of Yield Surface Curvature on Local Necking in Biaxially Stretched Sheets in Porous Materials." Journal of Engineering Materials and Technology 114, no. 2 (April 1, 1992): 196–200. http://dx.doi.org/10.1115/1.2904161.

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In this paper, a recently proposed material model (Sun model) that is based on the lower bound approach of plasticity is extended by introducing a family of dilatant plasticity theories. The yield surfaces change by a combination of isotropic expansion and kinematic translation. The sensitivity of the local necking predictions in biaxially stretched sheets to the curvature of the yield surface in porous materials is addressed. The results of the present analysis obtained by using four material models, the isotropic hardening version of Sun, the kinematic hardening version suggested in this paper, the Gurson model, and the Mear and Hutchinson model, indicate that the local necking predictions are highly sensitive to the curvature of the yield surface, and the predictions given by the kinematic hardening model are more reasonable for local necking analysis than those by the isotropic hardening model.

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Tsakmakis, Aris, and Michael Vormwald. "Configurational forces in cyclic metal plasticity." MATEC Web of Conferences 300 (2019): 08009. http://dx.doi.org/10.1051/matecconf/201930008009.

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The configurational force concept is known to describe adequately the crack driving force in linear fracture mechanics. It seems to represent the crack driving force also for the case of elastic-plastic material properties. The latter has been recognized on the basis of thermodynamical considerations. In metal plasticity, real materials exhibit hardening eﬀects when suﬃciently large loads are applied. Von Mises yield function with isotropic and kinematic hardening is a common assumption in many models. Kinematic and isotropic hardening turn out to be very important whenever cyclic loading histories are applied. This holds equally regardless of whether the induced deformations are homogeneous or non-homogeneous. The aim of the present paper is to discuss the eﬀect of nonlinear isotropic and kinematic hardening on the response of the configurational forces and related parameters in elastic-plastic fracture problems.

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20

Suttner, Sebastian, and Andreas Kuppert. "Investigation of the Beginning of Plastic Yielding and the Hardening Behaviour under Biaxial Tension." Advanced Materials Research 769 (September 2013): 197–204. http://dx.doi.org/10.4028/www.scientific.net/amr.769.197.

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The main focus of the experimental observation deals with the investigation of the plasticyielding of DC06 and DP600 under biaxial tension in comparison to an identified material modelwith an isotropic hardening behaviour. The isotropic hardening law describes the hardeningbehaviour of the material by application and approximation of the flow curve. Prevalent hardeninglaws are proposed by Swift (1952) or Hockett and Sherby (1975) and lead to an expansion of theyield surface in the stress space. By reasons of good accordance in an earlier survey the givenmaterials are modeled by the yield criterion Yld2000-2d and the isotropic hardening law of Swift.In this case the yield loci at different experimental states of plastification are compared with theyield loci given from the isotropic expansion of the Yld2000-2d yield surface. Furthermore apossible approach for modelling the change of the yield criterion’s shape in the stress space duringplastification is shown. With respect to further investigations additional research work is neededincluding extended and complex hardening laws to describe the real material behaviour sufficiently.

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Karpuz, Pınar, Caner Şimşir, C. Hakan Gür, and Hyoung Seop Kim. "Finite Element Investigation of the Effect of Hardening Behavior of Alloys on Equal Channel Angular Pressing Performance." Materials Science Forum 584-586 (June 2008): 1021–26. http://dx.doi.org/10.4028/www.scientific.net/msf.584-586.1021.

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In most of the simulation studies of equal channel angular pressing (ECAP) it has been assumed that materials obey isotropic hardening law. However, in the case of precipitation hardenable alloys, an accurate prediction of the deformation behavior requires incorporation of kinematic hardening model. In this study, the influences of kinematic, isotropic and combined hardening laws on deformation behavior have been investigated. For this purpose, an ECAP die consisting of two 120° channels has been selected, and the effect of hardening law on the strain profile and ram pressure at the final exit channel has been studied. The simulation results showed that the hardening mechanism does not affect the strain profiles extensively; but, when kinematic hardening mechanism was considered the ram pressure decreases significantly due to less hardening of the material during reverse loading in the final exit channel.

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McDowell, D. L. "A Bounding Surface Theory for Cyclic Thermoplasticity." Journal of Engineering Materials and Technology 114, no. 3 (July 1, 1992): 297–303. http://dx.doi.org/10.1115/1.2904176.

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A nonisothermal, rate and time independent generalization of nonlinear kinematic hardening theory for cyclic plasticity is introduced. The model includes decomposition of backstress and of isotropic hardening between the yield surface radius and the backstress amplitude. A purely temperature dependent component of yield surface radius is assumed in addition to an isotropic hardening component. Issues of thermoplastic material stability and temperature history independence are clearly distinguished and addressed via implications of temperature rate terms. Correlations are reported for OFHC copper subjected to thermomechanical cyclic loading.

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Uçan, Meriç, and Haluk Darendeliler. "Comparison of Different Constitutive Models in Sheet Metal Forming." Key Engineering Materials 554-557 (June 2013): 1203–16. http://dx.doi.org/10.4028/www.scientific.net/kem.554-557.1203.

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The effects of different constitutive models in sheet metal forming are investigated by considering the cylindrical and square cup drawing and V-bending processes. Numerical analyses are performed by employing eight different constitutive models. These are elastic plastic constitutive model with isotropic hardening, elastic plastic constitutive model with kinematic hardening, elastic plastic constitutive model with combined hardening, power law isotropic plasticity, piecewise linear isotropic plasticity, three-parameter Barlat, anisotropic plasticity and transversely anisotropic elastic plastic models. The simulations are performed for three different materials, St12 steel, Al-5182 aluminum and stainless steel 409 Ni, by using a commercial finite element code. A number of experiments are carried out and the experimental and analytical results are utilized to evaluate the results of simulations.

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Mendes Lima, Rodrigo, and Ernesto Massaroppi Jr. "Study of Aluminum Alloy 7050 T7451 Isotropic Hardening." Materials Science Forum 869 (August 2016): 526–31. http://dx.doi.org/10.4028/www.scientific.net/msf.869.526.

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This paper presents the yielding surface isotropic hardening study of the aluminum alloy 7050 T7451 submitted to monotonic loadings, considering the nonlinear constitutive model proposed by Voce. The stress state imposed characterizes a behavior whose plastic deformations cannot be neglected. The analysis depends on the segregation between the isotropic and the kinematic hardening that composes the material’s behavior during its transient life. Monotonic and cyclic tension-compression tests have been realized in order to allow the Bauschinger Effect understanding. The results have been compared to FEM simulations in order to validate the model.

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Shakeri, Ashkan. "Isotropic-kinematic cyclic hardening characteristics of plate steels." International Journal of Steel Structures 17, no. 1 (March 2017): 19–30. http://dx.doi.org/10.1007/s13296-016-0102-z.

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Manopulo, Niko, Frédéric Barlat, and Pavel Hora. "Isotropic to distortional hardening transition in metal plasticity." International Journal of Solids and Structures 56-57 (March 2015): 11–19. http://dx.doi.org/10.1016/j.ijsolstr.2014.12.015.

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McDowell, D. L. "An Evaluation of Recent Developments in Hardening and Flow Rules for Rate-Independent, Nonproportional Cyclic Plasticity." Journal of Applied Mechanics 54, no. 2 (June 1, 1987): 323–34. http://dx.doi.org/10.1115/1.3173015.

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The Mroz kinematic hardening rule has previously demonstrated superior capability to correlate cyclically stable nonproportional stress-strain response. In this paper, recently proposed kinematic hardening rules for single and multiple surface cyclic plasticity models are evaluated. Significant improvement over the Mroz rule, without loss of generality, is achieved with a deviatoric stress rate-dominated rule proposed by Tseng and Lee for two surface theory. Recent approaches for correlation of the modulus function and isotropic hardening are discussed. The norm of the Mroz distance vector is found to uniquely correlate the variation of plastic hardening modulus through a cycle; it is necessary to include a measure of instantaneous nonproportionality, however, to properly normalize the modulus function. A new evolution equation is offered to correlate the additional isotropic hardening observed during nonproportional loading, and several contemporary approaches are also considered.

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Abdel-Karim, Mohammad. "An extension for the Ohno–Wang kinematic hardening rules to incorporate isotropic hardening." International Journal of Pressure Vessels and Piping 87, no. 4 (April 2010): 170–76. http://dx.doi.org/10.1016/j.ijpvp.2010.02.003.

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Floros, Dimosthenis, Andreas Jobst, Andreas Kergaßner, Marion Merklein, and Paul Steinmann. "Towards an holistic account on residual stresses in full-forward extruded rods." Archive of Applied Mechanics 91, no. 8 (March 10, 2021): 3649–64. http://dx.doi.org/10.1007/s00419-021-01917-1.

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AbstractAn holistic view is attempted towards prediction of the effect of residual stresses induced by full-forward extrusion on fatigue life of workpieces during operation. To study the effect of constitutive model on the accuracy of forming simulations, a combined nonlinear isotropic/kinematic hardening model as well as the isotropic hardening part of the same model are calibrated based on five compression-tension-compression uniaxial stress experiments. A full-forward extrusion finite element model is developed adapting both the aforementioned hardening plasticity models and the predicted residual stress states at the surface of the workpiece are compared against that of a corresponding forming experiment. Results show residual stress predictions of remarkable accuracy by the FE-models with the isotropic hardening model. The effect of residual stresses on fatigue life of the workpiece is qualitatively studied by uncoupled multiscale simulations featuring gradient crystal plasticity at the microscale. While the effective (homogenized) macroscale response indicates elastic response during a macroscopically cyclic loading, plasticity accompanying reduction of residual stresses is still present at the microscale within, e.g. grain boundaries.

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de Angelis, Fabio, and Donato Cancellara. "Constitutive Equations for a Model of Nonlocal Plasticity which Complies with a Nonlocal Maximum Plastic Dissipation Principle." Applied Mechanics and Materials 217-219 (November 2012): 2362–66. http://dx.doi.org/10.4028/www.scientific.net/amm.217-219.2362.

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In the present paper constitutive equations for a nonlocal plasticity model are presented. Elasticity is considered to be governed by local forces so that only the dissipation processes are adopted as nonlocal. Differing from other proposed models in which the isotropic hardening/softening variables are considered as nonlocal, in the present paper the nonlocality is extended in order to include the kinematic hardening behaviour as well, so that both types of hardening (kinematic and isotropic) are considered as nonlocal. The present formulation satisfies a variational condition representing nonlocal maximum plastic dissipation. The proposed constitutive formulation of nonlocal plasticity is thus equipped with a sound variational basis.

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Slota, Jan, Ivan Gajdos, Emil Spišák, and Marek Šiser. "Springback Prediction of Stretching Process using Finite Element Analysis for DP600 Steel Sheet." Acta Mechanica et Automatica 11, no. 1 (March 1, 2017): 5–8. http://dx.doi.org/10.1515/ama-2017-0001.

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Abstract Springback phenomenon is well predicted for some mild steel materials, but not for steels with higher strength. One of the most used tools to stamping optimization is usage of finite element analysis. In order to accurate describe the real behaviour of the materials for stamping of vehicle panels, the application of proper hardening rule seems to be crucial. Due to higher accuracy of predicted results, high strength steel sheets are usually modelled by means of kinematic or mixed isotropic-kinematic hardening models. In this paper the springback prediction of advanced high strength steel DP600 by numerical simulation was investigated. Through cyclic tension-compression tests, the material characterization has been performed for DP600 steel sheet. Different hardening models (isotropic, kinematic and mixed isotropic-kinematic) used in the simulations were compared with expreriment. The Yoshida–Uemori model succesfully describe the kinematic behaviour of the material and provided more accurate results than others.

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Hu, Xing, Yi Xi Zhao, Shu Hui Li, and Cheng Liu. "Numerical Simulation of Dimensional Variations for Roller Hemming." Advanced Materials Research 160-162 (November 2010): 1601–5. http://dx.doi.org/10.4028/www.scientific.net/amr.160-162.1601.

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A study to investigate the effect of hardening models on roller hemming in the case of aluminum alloy sheets is described in this approach. The most popular hardening models including isotropic hardening, kinematic hardening and combined hardening are studied using the uniaxial tension tests. Then the roll-in/out values over the hemline along width direction after pre-hemming with different hardening models are compared with the experimental results. It is verified that combined hardening model is most efficient to predict roll-in/out.

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Schenk, T., I. M. Richardson, G. Eßer, and M. Kraska. "Influence of the Hardening Model on the Predicted Welding Distortion of DP600 Lap Joints." Materials Science Forum 638-642 (January 2010): 3710–15. http://dx.doi.org/10.4028/www.scientific.net/msf.638-642.3710.

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The accurate prediction of welding distortion is an important requirement for the industry in order to allow the definition of robust process parameters without the need to perform expensive experiments. Many models have been developed in the past decades in order to improve prediction. Assumptions are made to make the models tractable; however, the consequences are rarely discussed. One example for such an assumption is the strain hardening model, which is often a choice between either kinematic or isotropic hardening. This paper presents the results of tensile tests for DP600 performed from room temperature up to one thousand degrees and for different strain-rates. In order to employ a mixed isotropic-kinematic hardening model, the fractions of each hardening contribution have been determined by means of bend testing. The welding distortion of a DP600 overlap joint has been simulated and it is shown that such a mixed-hardening model results in more accurate and reliable results.

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Becker, R., and A. Needleman. "Effect of Yield Surface Curvature on Necking and Failure in Porous Plastic Solids." Journal of Applied Mechanics 53, no. 3 (September 1, 1986): 491–99. http://dx.doi.org/10.1115/1.3171801.

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The effect of material path dependent hardening on neck development and the onset of ductile failure is analyzed numerically. The calculations are carried out using an elastic-viscoplastic constitutive relation that has isotropic hardening and kinematic hardening behaviors as limiting cases and that accounts for the weakening due to the growth of micro-voids. Final material failure is incorporated into the constitutive model by the dependence of the plastic potential on void volume fraction. Results are obtained for both axisymmetric and plane strain tension. Failure is found to initiate by void coalescence at the neck center in axisymmetric tension and within a shear band in plane strain tension. The increased curvature of flow potential surfaces associated with the kinematic hardening solid leads to somewhat more rapid diffuse neck development than occurs for the isotropic hardening solid. However, a much greater difference between the predictions of the two constitutive models is found for the onset of ductile failure.

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Mohd Tobi, Abdul Latif, M. Y. Ali, M. H. Zainulabidin, and A. A. Saad. "Modelling of Fretting Wear under Partial Slip Conditions Using Combined Isotropic-Kinematic Hardening Plasticity Model." Advanced Materials Research 1025-1026 (September 2014): 50–55. http://dx.doi.org/10.4028/www.scientific.net/amr.1025-1026.50.

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This paper presents finite element modelling of fretting wear under partial slip conditions using combined isotropic-kinematic hardening plasticity model with the emphasized to investigate the cyclic-plasticity behaviour predicted under fretting condition. The model is based on two-dimensional (2D) cylinder-on-flat contact configuration of titanium alloy, Ti-6Al-4V. A number of wear profiles at specific number of wear cycle (6000th, 60000th, 150000th and 300000th) are simulated. Contact pressure, tangential stress, shear stress, equivalent plastic strain, tangential plastic strain and also shear plastic strain are gathered and analysed. It is found that the plastic strain response of the combined isotropic-kinematic hardening plasticity model is slightly higher compare to linear kinematic hardening plasticity model [1].

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Kumar, R. Suresh, P. Chellapandi, and C. Lakshmana Rao. "Modelling Material Behavior of Austenitic Stainless Steel under Monotonic and Cyclic Loadings." Applied Mechanics and Materials 151 (January 2012): 721–25. http://dx.doi.org/10.4028/www.scientific.net/amm.151.721.

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Mechanical behavior of the austenitic stainless steel under monotonic and cyclic loading at room temperature has been mathematically predicted. Materials like SS 316 LN exhibit cyclic hardening behavior under cyclic loading. Based on the characteristics of yield surface, cyclic hardening can be classified into isotropic and kinematic hardening. Armstrong-Frederic model is used for predicting the kinematic hardening of this material. It is basically a five parameter, nonlinear kinematic hardening model. Cyclic tests for various ranges were carried out to derive the isotropic material parameter required for modeling. Kinematic hardening material parameter required for modeling were computed based on both monotonic tension and torsion tests. By using these parameters the developed program is able to model the mechanical behavior of austenitic stainless steel under monotonic and cyclic loading conditions at room temperature. Comparison of the predicted results with the experimental results shows that the kinematic hardening material parameters derived from the monotonic torsion tests were in good agreement than that of the monotonic tension tests. Also it is recommended to use more material parameter constitutive models to improve the accuracy of the mathematical predictions for the material behavior under cyclic loading.

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Sudula, Venkata Sai Prashanth. "Multilinear Isotropic and Multilinear Kinematic Hardening on AZ31 Magnesium Alloy." International Journal of Engineering and Advanced Technology 10, no. 5 (June 30, 2021): 259–68. http://dx.doi.org/10.35940/ijeat.e2790.0610521.

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Magnesium and its alloys are turning out to be increasingly more utilized in the aviation and automobile industry due to its low weight. The technology has endured numerous enhancements enabling magnesium alloys to have a mechanical performance close to aluminium alloys and prevention from corrosion. This enables numerous potential applications for magnesium alloys subjected to multiaxial fatigue. To perform the plastic deformation on AZ31 alloy, we have utilised two techniques of multilinear hardening methods. i) isotropic hardening, ii) Kinematic hardening. To come up with an accurate result, we leveraged ANSYS software to perform the simulation with accuracy and precision. on arriving to the conclusion our goal towards analysing the multilinear properties of the AZ31 alloy with two mesh size 0.4 and 0.6mm.

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Paygozar, Bahman, S. A. Dizaji, and M. A. Saeimi Sadigh. "Combined hardening parameters of steel CK45 under cyclic strain-controlled loading: Calibration methodology and numerical validation." Journal of Mechanical Engineering and Sciences 14, no. 2 (June 23, 2020): 6848–55. http://dx.doi.org/10.15282/jmes.14.2.2020.24.0536.

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This study is to indicate the methodology of investigating the behavior of materials in the plastic domain while bearing cyclic loading i.e. low cycle fatigue. Materials under such loading, which experience huge amount of plastic deformation, are affected by the hardening or softening effects of loading which should be taken into account in all applications and numerical simulations as well. This work investigates the methodology of obtaining the nonlinear isotropic and kinematic hardening of steel CK45. To find the parameters of the above mentioned combined nonlinear isotropic/kinematic hardening one tensile test as well as three strain-controlled low cycle fatigue tests are carried out to extract the monotonic stress/strain curve and three diagrams of hysteresis curves, respectively. Then, four parameters necessary to simulate the nonlinear isotropic/ kinematic behavior of the material are extracted by means of curve fitting technique using MATLAB software. Afterwards, the accuracy of the data extracted from the experimental tests using the proposed methodology, are verified in a finite element package, ABAQUS, through implementing two user defined subroutines UMAT written in FORTRAN. It is indicated that the computed constants draw stress-strain curves much closer to experimental responses than isotropic hardening model does. Eventually, the numerical results acquired by simulating the behavior of the sample under cyclic loading with importing the constants, calculated via combined hardening model, to ABAQUS reflects results highly close to the experimentally obtained response of the sample. It means that the procedure used to find the constants is accurate enough and consequently the constants computed are able to be used in both ABAQUS and subroutines.

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Wu, Ze Yu, Xin Li Bai, and Bing Ma. "3-D Elastic-Plastic Constitutive Relationship of Mixed Hardening." Applied Mechanics and Materials 249-250 (December 2012): 927–30. http://dx.doi.org/10.4028/www.scientific.net/amm.249-250.927.

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In finite element calculation of plastic mechanics, isotropic hardening model, kinematic hardening model and mixed hardening model have their advantages and disadvantages as well as applicability area. In this paper, by use of the tensor analysis method and mixed hardening theory in plastic mechanics, the constitutive relation of 3-D mixed hardening problem is derived in detail based on the plane mixed hardening. Numerical results show that, the proposed 3-D mixed hardening constitutive relation agrees well with the test results in existing references, and can be used in the 3-D elastic-plastic finite element analysis.

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Saai, Afaf, Laurent Tabourot, Christophe Déprés, and Herve Louche. "A Fundamental Model of Aluminum Single Crystal Behavior with Physical Description of Kinematic Work Hardening." Materials Science Forum 550 (July 2007): 577–82. http://dx.doi.org/10.4028/www.scientific.net/msf.550.577.

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In this paper, we present a fundamental model of FCC single crystal behaviour at room temperature: this model includes kinematic work hardening derived from the elementary description of the collective dislocations density evolution during cyclic loading. This kinematic work hardening is then coupled with the isotropic work hardening mechanism. Using this original model, a simulation of a tensile test on a single crystal sample is carried out in the case of an initial crystal orientation that promotes single glide even at rather large strains. The evolution of resolved shear stresses on the primary and secondary slip systems are interpreted by means of the interaction between the evolution of isotropic and kinematic work hardening variables. The evolution of the model state-variables including applied resolved shear strain, dislocation densities, and critical shear stresses are represented as functions of the evolution of crystalline orientation during plastic deformation.

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Wang, Yong, You Gang Peng, and Xu Chen. "Ratcheting Simulation of Z2CN18.10 Austenitic Stainless Steel under Pre-Strain Conditions." Applied Mechanics and Materials 853 (September 2016): 112–16. http://dx.doi.org/10.4028/www.scientific.net/amm.853.112.

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Uniaxial ratcheting behaviors of Z2CN18.10 austenitic stainless steel under both tensile pre-strain (TP) and compressive pre-strain (CP) were experimentally studied at room temperature. The experimental results show that: TP restrains ratcheting strain accumulation of subsequent cycling with positive mean stress; lower level of CP is found to accelerate ratcheting strain accumulation while higher level of CP retards the accumulation. Based on the Ohno-Wang II kinematic hardening rule, rate-independent model, viscoplastic model, isotropic hardening model and a modified model were constructed to describe the ratcheting behaviors under various pre-strain conditions. All the four models gave fairly good prediction on ratcheting strains for various TP. The isotropic hardening model and modified model predicted acceptable ratcheting strain though still showed slight tendency of over prediction.

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FREHSE, JENS, and DOMINIQUE LÖBACH. "REGULARITY RESULTS FOR THREE-DIMENSIONAL ISOTROPIC AND KINEMATIC HARDENING INCLUDING BOUNDARY DIFFERENTIABILITY." Mathematical Models and Methods in Applied Sciences 19, no. 12 (December 2009): 2231–62. http://dx.doi.org/10.1142/s0218202509004108.

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For a flat Dirichlet boundary we prove that the first normal derivatives of the stresses and internal parameters are in L∞(0, T; L1+δ) and in L∞(0, T; H½-δ) up to the boundary. This deals with solutions of elastic–plastic flow problems with isotropic or kinematic hardening with von Mises yield function. We show that the elastic strain tensor ε(u) of three-dimensional plasticity with isotropic hardening is contained in the space [Formula: see text] and in L∞(0,T;H4-δ) up to the flat Dirichlet boundary. We obtain related results concerning traces of ε(u). In the case of kinematic hardening we present a simple proof of the [Formula: see text] inclusion of the elastic strain tensor.

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Gau, Jenn-Terng, and Gary L. Kinzel. "A New Model for Springback Prediction for Aluminum Sheet Forming." Journal of Engineering Materials and Technology 127, no. 3 (March 23, 2005): 279–88. http://dx.doi.org/10.1115/1.1924563.

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A new model for springback, based on isotropic and kinematic hardening models, the Mroz multiple surfaces model, and observations from experimental data, is proposed in this paper. In this model, a material parameter (CM), which is significant after reverse yielding, is suggested to handle the Bauschinger effect. A simple, low-cost, multiple-bending experiment has been developed to determine CM for aluminum alloys AA6022-T4 and AA6111-T4. The new model fits available experimental results better than the isotropic and kinematic hardening models and the Mroz multiple surfaces model.

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da Costa Teixeira, Julien, Laure Bourgeois, Chad W. Sinclair, and Christopher R. Hutchinson. "Experimental Investigation of Isotropic and Kinematic Hardening in Al-3Cu-0.05Sn (wt%)." Materials Science Forum 561-565 (October 2007): 1849–52. http://dx.doi.org/10.4028/www.scientific.net/msf.561-565.1849.

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The work hardening behavior of an Al-3Cu-0.05Sn (wt %) alloy was studied using tensile tests and Bauschinger tests. Emphasis is placed on the influence of the precipitation state (number density, size distribution and volume fraction) and separating the isotropic and kinematic components of the work hardening.

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Bouaziz, Olivier, Jongun Moon, Hyoung Seop Kim, and Yuri Estrin. "Isotropic and kinematic hardening of a high entropy alloy." Scripta Materialia 191 (January 2021): 107–10. http://dx.doi.org/10.1016/j.scriptamat.2020.09.022.

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Nguyen, Khuong D., Minh N. Nguyen, Hoa V. Cong, and H. Nguyen-Xuan. "Isogeometric analysis of linear isotropic and kinematic hardening elastoplasticity." Vietnam Journal of Mechanics 39, no. 1 (March 30, 2017): 51–68. http://dx.doi.org/10.15625/0866-7136/7817.

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Material nonlinearity is of great importance in many engineering problems. In this paper, we exploit NURBS-based isogeometric approach in solving materially nonlinear problems, i.e. elastoplastic problems. The von Mises model with linear isotropic hardening and kinematic hardening is presented, and furthermore the method can also be applied to other elastoplastic models without any loss of generality. The NURBS basis functions allow us to describe exactly the curved geometry of underlying problems and control efficiently the accuracy of approximation solution. Once the discretized system of non-linear equilibrium equation is obtained, the Newton-Raphson iterative scheme is used. Several numerical examples are tested. The accuracy and reliability of the proposed method are verified by comparing with results from ANSYS Workbench software.

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Golub, V. P. "Theory of creep of initially strain-hardening isotropic materials." Soviet Applied Mechanics 25, no. 2 (February 1989): 184–94. http://dx.doi.org/10.1007/bf00888135.

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Ristinmaa, M., M. Wallin, and N. S. Ottosen. "Thermodynamic format and heat generation of isotropic hardening plasticity." Acta Mechanica 194, no. 1-4 (April 11, 2007): 103–21. http://dx.doi.org/10.1007/s00707-007-0448-6.

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Kerkour-El Miad, Abdelhamid, A. Kerour-El Miad, and Redouane Kouddane. "Grain Shape Effect and the Viscoplastic Parameter on the Evolution of Isotropic and Kinematic Hardening of Metallic Materials under Cyclic Loading." Key Engineering Materials 820 (September 2019): 48–59. http://dx.doi.org/10.4028/www.scientific.net/kem.820.48.

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The main objective of this work is to study the grain shape effect (aspect ratio α = a / b) and the viscoplastic parameter γ on the evolution of the kinematic and isotropic hardening of FCC type metallic materials, under uniaxial cyclic Tension-Compression ‘‘TC’ and to interpret these results. These parameters of shape and viscoplastic were developed and introduced by Abdul-Latif and Radi, indeed in this study we use their model. Expressed within the framework of a self-consistent approach, the rate-dependent inelastic strain is examined at the crystallographic slip system level describing a constitutive model for FCC metallic polycrystals, whereas the elastic strain is determined at the granular level. Based on the Eshelby’s tensor, the elastic behavior is assumed to be compressible. For a polycrystalline structure, the grains deform plastically by crystallographic slip located at the most favorably oriented systems supporting a high resolved shear stress . The approach considers that the inclusion (grain) form is ellipsoidal of half axes defining by a, b and c such as a ≠b= c. Several numerical tests are carried out highlighting the role of shape and viscoplastic parameter on the evolution of kinematic and isotropic hardening. A general comparison between the and effect on the overall hardening of the polycrystal shows that this work hardening is more sensitive to the parameter (for given ) compared to (for given). Keywords: Grain shape effect, Ellipsoidal inclusion, Viscoplastic parameter effect, Kinematic and isotropic hardening, Uniaxial cyclic ‘‘TC‘‘, Self-consistent model.

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Jeong, Young Ung, Frédéric Barlat, and Myoung Gyu Lee. "Microstructural and Crystallographic Aspects of Yield Surface Evolution." Materials Science Forum 702-703 (December 2011): 224–28. http://dx.doi.org/10.4028/www.scientific.net/msf.702-703.224.

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The microstructural and crystallographic aspects, reflected at the macroscopic scale on yield surface and its subsequent evolution, are reappraised by application of crystal plasticity simulations. Strain hardening rule in the slip system is coupled to cope with latent hardening and Bauschinger effect. Uniaxial tension simulation on an isotropic polycrystalline aggregate leads to anisotropic strain hardening. Typical elements of phenomenological plastic anisotropy and hardening rules such as expansion, kinematic shift and distortion of the yield surface, are shown to be featured in crystal plasticity by tuning the slip system hardening rules appropriately.

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Journal articles on the topic 'Isotropic hardening'

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