RATE-INDEPENDENT FINITE-DEFORMATION ELASTOPLASTICITY - A NEW EXPLICIT CONSTITUTIVE ALGORITHM

被引:47
作者
NEMATNASSER, S
机构
[1] Center of Excellence for Advanced Materials, Department of Applied Mechanics and Engineering Sciences, University of California, San Diego
关键词
D O I
10.1016/0167-6636(91)90005-K
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This paper summarizes the results of a recent breakthrough in explicit constitutive computational algorithms for finite-element calculations of large-deformation rate-independent elastoplasticity, using the example of the J2 yield condition and flow rule with isotropic hardening. The new algorithm provides a direct, explicit, and always nearly exact estimate of the yield surface and all stress components, for any prescribed deformation increment (large or small) in one single step with no iterations, or in any desired number of substeps. The algorithm does not depend on radial return, and can accommodate nonsmooth yield surfaces. This generalization is also briefly discussed.
引用
收藏
页码:235 / 249
页数:15
相关论文
共 17 条
[1]  
Dienes, On the analysis of rotation and stress rate in deforming bodies, Acta Mech., 32, pp. 217-232, (1979)
[2]  
Hill, Generalized constitutive relations for incremental deformation of metal crystals by multislip, J. Mech. Phys. Solids, 14, pp. 95-102, (1966)
[3]  
Hill, On the classical constitutive laws for elasticplastic solids, Recent Progress in Applied Mechanics, pp. 241-249, (1967)
[4]  
Hill, Aspects of invariance in solid mechanics, Adv. Appl. Mech., 18, pp. 1-75, (1978)
[5]  
Hughes, Numerical implementation of constitutive models, rate-independent deviatoric plasticity, Theoretical Foundation of Large-Scale Computations for Nonlinear Material Behavior, pp. 29-63, (1984)
[6]  
Johnson, Bammann, A discussion of stress rates in finite deformation problems, Int. J. Solids Struct., 20, pp. 725-737, (1984)
[7]  
Krieg, Key, Implementation of a timeindependent plasticity theory into structural computer programs, Constitutive Equations in Viscoplasticity, Computational and Engineering Aspects, pp. 125-137, (1976)
[8]  
Krieg, Krieg, Accuracies of numerical solution methods for the elastic-perfectly plastic model, J. Pressure Vessel Tech., 99, pp. 510-515, (1977)
[9]  
Nemat-Nasser, On finite plastic flow of crystalline solids and geomaterials, ASME J. Appl. Mech., 50, pp. 1114-1126, (1983)
[10]  
Nemat-Nasser, Theoretical foundations of plasticity, Theoretical Foundation of Large-Scale Computations for Nonlinear Material Behavior, pp. 7-28, (1984)