On the numerical implementation of 3D rate-dependent single crystal plasticity formulations

In this paper, several important numerical issues are addressed for three‐dimensional (3D) rate‐dependent single crystal plasticity. After a thorough comparison of different constitutive algorithms, we classify the integration methods into three approaches, namely, the implicit elastic/plastic defor...

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Bibliographic Details
Published in:International journal for numerical methods in engineering Vol. 63; no. 4; pp. 548 - 568
Main Authors: Ling, Xianwu, Horstemeyer, M. F., Potirniche, G. P.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 28.05.2005
Wiley
Subjects:
Computational techniques
constitutive integration algorithm
crystal plasticity
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Mathematical methods in physics
Physics
plastic incompressibility
single crystals
Solid mechanics
Structural and continuum mechanics
texture update
Constitutive equation
Numerical integration
single crystals
Algorithmics
Incompressible material
Texture
Single crystal
texture update
Inelasticity
Model matching
Elastoplasticity
Plasticity
plastic incompressibility
constitutive integration algorithm
crystal plasticity
Strain rate
ISSN:0029-5981, 1097-0207
Online Access:Get full text
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Summary:In this paper, several important numerical issues are addressed for three‐dimensional (3D) rate‐dependent single crystal plasticity. After a thorough comparison of different constitutive algorithms, we classify the integration methods into three approaches, namely, the implicit elastic/plastic deformation gradient approach, the implicit slip‐rate approach, and the explicit slip‐rate approach. As part of this algorithmic study, we focus on five different schemes to enforce the plastic incompressibility, four ways to update the texture, and one convergence criteria. The numerical performance of these different methods is illustrated. The contribution of this study is three‐fold: a stable scheme for the incompressibility enforcement, an improved implicit algorithm, and a fully explicit algorithm. Copyright © 2005 John Wiley & Sons, Ltd.
Bibliography:ArticleID:NME1289
Center for Advanced Vehicular System, Mississippi State University
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ISSN:0029-5981
1097-0207
DOI:10.1002/nme.1289