Two-dimensional modeling of high-velocity impingement of polymethylmethacrylate plates

Abstract

Using modification of Maxwell model of viscoelastic medium, we have performed 2D simulations of the polymethylmethacrylate (PMMA) plates impingement at high velocities. Previously, we had investigated numerically the influence of the viscoelastic properties upon the dynamics of 1D shock-wave flows in PMMA. It was shown that, in a limit of weak shock waves, the accounting of the viscoelastic properties allows one to achieve a better agreement of calculated results and experimental data on the shock wave velocity magnitude than in the case of hydrodynamic calculations. In the present work, we make a generalization of the polymer material deformation model to the case of 2D stress state. The equation is written for the plastic deformation tensor, which describes the relaxation of the maximal shear stress.