Abstract
Whereas in part I of the paper [1], we laid down the foundations towards a new arbitrary reference configuration (ARC) framework for computational elasticity finite deformation applications, here in part II of the paper we extend the developments to computational elasto-plasticity. Within the context of the ARC framework, the mid-point rule and the trapezoidal rule for computational plasticity are further investigated. The conclusions that the trapezoidal rule is indeed more suitable for computational plasticity in comparison to the mid-point rule, and the fact that the present ARC framework is more suitable for finite deformation problems in comparison with the widely adopted total Lagrangian formulation and the updated Lagrangian formulation, are finally drawn and established.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 353-367 |
| Number of pages | 15 |
| Journal | International Journal of Computational Methods in Engineering Science and Mechanics |
| Volume | 7 |
| Issue number | 5 |
| DOIs | |
| State | Published - Oct 1 2006 |
Bibliographical note
Funding Information:The authors are very pleased to acknowledge support in part by the Army High Performance Computing Research Center (AHPCRC) under the auspices of the Department of the Army, Army Research Laboratory (ARL) under contract number DAAD19-01-2-0014. Dr. Raju Namburu is the technical monitor. The content does not necessarily reflect the position or the policy of the government, and no official endorsement should be inferred. Other related support in form of computer grants from the Minnesota Supercomputer Institute (MSI), Minneapolis, Minnesota is also gratefully acknowledged.
Keywords
- Computational Mechanics
- Elasto-Plasticity
- Finite Deformation Dynamics
- Statics/Dynamics