Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

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

Xiangmin Zhou, Kumar K. Tamma*, Desong Sha
Army High Performance Computing Research Center (AHPCRC) University of Minnesota, Minneapolis, MN 55455, USA

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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.

Keywords:  Finite strain; Large deformation; Elasticity theory; Elasto-plasticity; Stress update formulation

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