Volume 22, Issue 5
A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity

Alexia de Brauer, Angelo Iollo & Thomas Milcent

Commun. Comput. Phys., 22 (2017), pp. 1362-1384.

Published online: 2017-11

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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.

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@Article{CiCP-22-1362, author = {}, 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 = {

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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0018}, url = {http://global-sci.org/intro/article_detail/cicp/10446.html} }
TY - JOUR T1 - A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity JO - Communications in Computational Physics VL - 5 SP - 1362 EP - 1384 PY - 2017 DA - 2017/11 SN - 22 DO - http://doi.org/10.4208/cicp.OA-2017-0018 UR - https://global-sci.org/intro/article_detail/cicp/10446.html KW - AB -

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.

Alexia de Brauer, Angelo Iollo & Thomas Milcent. (2020). A Cartesian Scheme for Compressible Multimaterial Hyperelastic Models with Plasticity. Communications in Computational Physics. 22 (5). 1362-1384. doi:10.4208/cicp.OA-2017-0018
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