Pseudospectral simulation of elastic waves propagation in heterogeneous nonlinear hysteretic medium

A pseudo‐spectral time domain algorithm (PSTD) has been developed for solving elastic wave equation in nonlinear hysteretic heterogeneous solids. The hysteretic nonlinearity is introduced owing to a PM space model, based on a multiscale approach. 1D resonant bar simulations and 2D time reversal experiments in a plate with fixed boundaries are presented.