A new arbitrary reference configuration (ARC) formulation for computational finite strain transient applications

Xiangmin Zhou, Kumar K Tamma, Desong Sha

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A new arbitrary reference configuration (ARC) elasticity theory is proposed in the paper for finite strain dynamic applications with both the attempt to circumvent the deficiencies associated with the hyperelasticity and hypoelasticity theories. The corresponding stress update formulation and the ARC Lagrangian formulation is also developed. Some numerical examples are shown to demonstrate the effectiveness of the proposed theory.

Original languageEnglish (US)
Title of host publication3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
Pages561-564
Number of pages4
StatePublished - Dec 1 2005
Event3rd M.I.T. Conference on Computational Fluid and Solid Mechanics - Boston, MA, United States
Duration: Jun 14 2005Jun 17 2005

Publication series

Name3rd M.I.T. Conference on Computational Fluid and Solid Mechanics

Other

Other3rd M.I.T. Conference on Computational Fluid and Solid Mechanics
CountryUnited States
CityBoston, MA
Period6/14/056/17/05

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Keywords

  • Elasticity theory
  • Elasto-plasticity
  • Finite strain
  • Large deformation
  • Stress update formulation

Cite this

Zhou, X., Tamma, K. K., & Sha, D. (2005). A new arbitrary reference configuration (ARC) formulation for computational finite strain transient applications. In 3rd M.I.T. Conference on Computational Fluid and Solid Mechanics (pp. 561-564). (3rd M.I.T. Conference on Computational Fluid and Solid Mechanics).