Simulation of the propagation of a cylindrical shear wave : non linear and dissipative modelling

The simulation of the wave propagation caused by seismic stimulation allows us to study the behaviour of the environment and to evaluate the consequences. The model involves the wave equation which includes an hysteresis loop in the stress-strain relationship. This induces nonlinearities and, at the vertices of the loop, non-differentiable mathematic operators. We propose a numerical process which works out this simulation.