One-Dimensional Interaction between Shock Wave and Low-Porosity Foam : 2nd Report, Analysis and Comparison with Experiments

Abstract

Numerical simulations of the one dimensional unsteady motion of low-porosity foam, induced by the shock wave are studied. Interactive motions of the gas and the foam are analyzed using the Lagrangian coordinates. An elastic model for a low-porosity foam is assumed to be a simple non linear elastic body following the measured stress-strain relation of foam. One end of the foam in the axial x-direction is fixed to the end wall of the shock tube, and the other end interacts with the shock wave. In the case of uni-axial stress loading, the movement of the body is free to expand in both the y-and z-directions. In the case of uni-axial strain loading, there is no movement of the foam in the y-and z-directions. Results for the foam are compared with those for the rubber. Very good agreements are found between numerical and experimental results in the case of rubber, while fairly good agreements in the case of polyurethane foam.