@Article{CiCP-22-1362,
author = {Alexia de Brauer, Angelo Iollo and Thomas Milcent},
title = {A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity},
journal = {Communications in Computational Physics},
year = {2017},
volume = {22},
number = {5},
pages = {1362--1384},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0018},
url = {http://global-sci.org/intro/article_detail/cicp/10446.html}
}