On a new concept and foundations of an Arbitrary Reference Configuration (ARC) theory and formulation for computational finite deformation applications-part II: Elasto-plasticity

X. Zhou, D. Sha, K. K. Tamma

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

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 languageEnglish (US)
Pages (from-to)353-367
Number of pages15
JournalInternational Journal of Computational Methods in Engineering Science and Mechanics
Volume7
Issue number5
DOIs
StatePublished - 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

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