Linear complementary based implicit dynamic approach for frictional contact-impact problems with elasto-plastic large deformation

Desong Sha, Kumar K. Tamma, Maocheng Li

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Abstract

This paper involves FEM developments based on a linear complementary model in conjunction with an implicit time integration approach for two dimensional or axisymmetric dynamic contact-impact problems between two bodies or multi-bodies considering elasto-plastic large deformation and large frictional sliding on the contact surfaces. Proposed here are implicit numerical analysis developments which involve: 1) the finite element method for the space domain, 2) the Newmark implicit time integration method with unconditional stable features in the time domain, and 3) A Linear Complementary model in conjunction with a Conjugate Gradient Based Projection (LC-CGBP) methodology proposed recently by Sha, Tamma and Li. This approach enforces contact constraints at each contacting node during the CGBP solution procedure without the need for global Linear Complementary Equations (LCE) assembly. Illustrative test examples are presented which demonstrate the overall developments.

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