A MATERIAL‐INDEPENDENT METHOD FOR EXTENDING STRESS UPDATE ALGORITHMS FROM SMALL‐STRAIN PLASTICITY TO FINITE PLASTICITY WITH MULTIPLICATIVE KINEMATICS
- 1 April 1992
- journal article
- review article
- Published by Emerald Publishing in Engineering Computations
- Vol. 9 (4) , 437-451
- https://doi.org/10.1108/eb023876
Abstract
We provide a method for automatically extending small‐strain state‐update algorithms and their correspondent consistent tangents into the finite deformation range within the framework of multiplicative plasticity. The procedure, when it applies, operates at the level of kinematics and, hence, can be implemented once and for all independently of the material‐specific details of the constitutive model. The versatility of the method is demonstrated by a numerical example.Keywords
This publication has 23 references indexed in Scilit:
- Consistent tangent operators for rate-independent elastoplasticityPublished by Elsevier ,2003
- Symmetry‐preserving return mapping algorithms and incrementally extremal paths: A unification of conceptsInternational Journal for Numerical Methods in Engineering, 1989
- On the numerical integration of a class of pressure‐dependent plasticity modelsInternational Journal for Numerical Methods in Engineering, 1987
- Accuracy and stability of integration algorithms for elastoplastic constitutive relationsInternational Journal for Numerical Methods in Engineering, 1985
- A unified approach to finite deformation elastoplastic analysis based on the use of hyperelastic constitutive equationsComputer Methods in Applied Mechanics and Engineering, 1985
- Operator split methods for the numerical solution of the elastoplastic dynamic problemComputer Methods in Applied Mechanics and Engineering, 1983
- Operator split methods in the numerical solution of the finite deformation elastoplastic dynamic problemComputers & Structures, 1983
- Penalty function formulations for incompressible nonlinear elastostaticsComputer Methods in Applied Mechanics and Engineering, 1982
- On the implementation of inelastic constitutive equations with special reference to large deformation problemsComputer Methods in Applied Mechanics and Engineering, 1982
- Unconditionally stable algorithms for quasi-static elasto/visco-plastic finite element analysisComputers & Structures, 1978