Thermomechanical Numerical Simulation of Impacts on Elastic-Plastic Solids With the Finite Volume Method

Abstract

Abstract. We present in this work two implementation schemes of the finite volume method for the numerical simulation of impacts on thermo-elastic-plastic solids within the small strain framework for one dimension (bar) solid media, based on the Lax-Wendroff and high (second) order TVD methods. A strong thermomechanical coupling and adiabatic conditions are assumed. Comparison is performed with results obtained with the classical finite element method and an analytical solution on a test case involving a discontinuous solution. The finite volume methods (mainly the high order TVD one) improve both the track of the shock wave path, even after many reflexions of waves, and the computation of plastic strains and temperature.4717