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A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity

Published online by Cambridge University Press:  31 October 2017

Alexia de Brauer*
Affiliation:
Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France. CNRS, IMB, UMR 5251, F-33400 Talence, France. INRIA, F-33400 Talence, France
Angelo Iollo*
Affiliation:
Univ. Bordeaux, IMB, UMR 5251, F-33400 Talence, France. CNRS, IMB, UMR 5251, F-33400 Talence, France. INRIA, F-33400 Talence, France
Thomas Milcent*
Affiliation:
Univ. Bordeaux, I2M, UMR 5295, F-33400 Talence, France. Arts et Métiers Paristech, F-33607 Pessac, France
*
*Corresponding author. Email addresses:[email protected](A. de Brauer), [email protected](A. Iollo), [email protected](T. Milcent)
*Corresponding author. Email addresses:[email protected](A. de Brauer), [email protected](A. Iollo), [email protected](T. Milcent)
*Corresponding author. Email addresses:[email protected](A. de Brauer), [email protected](A. Iollo), [email protected](T. Milcent)
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Abstract

We describe a numerical model to simulate the non-linear elasto-plastic dynamics of compressible materials. The model is fully Eulerian and it is discretized on a fixed Cartesian mesh. The hyperelastic constitutive law considered is neohookean and the plasticity model is based on a multiplicative decomposition of the inverse deformation tensor. The model is thermodynamically consistent and it is shown to be stable in the sense that the norm of the deviatoric stress tensor beyond yield is non increasing. The multimaterial integration scheme is based on a simple numerical flux function that keeps the interfaces sharp. Numerical illustrations in one to three space dimensions of high-speed multimaterial impacts in air are presented.

Type
Research Article
Copyright
Copyright © Global-Science Press 2017 

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