Journal article
An incremental formulation for rate-independent finite rigid plasticity
Communications in nonlinear science & numerical simulation, Vol.7(3), pp.139-153
2002
DOI: 10.1016/S1007-5704(02)00009-6
Abstract
This paper proposes an incremental formulation for rate-independent rigid plasticity at finite strains. A family of objective approximation of the rate of deformation tensor is developed, based on which the stress response is expressed as functions of relative strain tensors. The resulting stress response is incrementally elastic and properly invariant under superposed rigid body motions. In addition, the constitutive equations can be readily implemented into the standard strain-driven finite element framework. The methodology is also extended to the construction of approximate elastic–plastic constitutive equations. For both cases, the resulting stress response satisfies the yield condition by construction, and therefore the local return mapping is completely bypassed. The performance of the formulations is illustrated by selected numerical examples.
Details
- Title: Subtitle
- An incremental formulation for rate-independent finite rigid plasticity
- Creators
- Jia Lu - Ansys Inc., 275 Technology Drive, Canonsburg, PA 15317, USAPanayiotis Papadopoulos - Department of Mechanical Engineering, University of California, Berkeley, CA 94720-1740, USA
- Resource Type
- Journal article
- Publication Details
- Communications in nonlinear science & numerical simulation, Vol.7(3), pp.139-153
- Publisher
- Elsevier B.V
- DOI
- 10.1016/S1007-5704(02)00009-6
- ISSN
- 1007-5704
- eISSN
- 1878-7274
- Language
- English
- Date published
- 2002
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984064236402771
Metrics
16 Record Views