Wave propagation simulation in damaged isotropic and anisotropic solids using k -space method

A numerical model for wave propagation simulation in damaged isotropic and anisotropic solids is proposed in this paper. The wave propagation problem is formulated using two coupled first-order differential equations for both isotropic and anisotropic solids, and a wavenumber corrector-based pseudo-spectral method is used to obtain the time-domain solution using the forward and inverse Fourier transformation. Following this, explicit modeling of crack-like damage commonly seen in engineering materials is investigated. Parametric and convergence study is performed to investigate the proposed simulation algorithms. Numerical examples are used to verify the proposed methodology by comparing the results from analytical solutions and classical finite element methods. Discussions and conclusions are drawn based on the proposed study.