Open Access Open Access  Restricted Access Subscription or Fee Access

DPSM Modeling of Wave Propagation in Anisotropic Half Space



Distributed point source method (DPSM) is a recently developed mesh free semi-analytical technique. It has been successfully used in modeling wave propagation in many different fluid and isotropic solid media. However, for the first time in this paper, it has been implemented for modeling the wave propagation behavior in anisotropic half space. In the past decades, methods such as finite element method (FEM), Rayleigh-Sommerfeld Integral (RSF), Spectral Element Method (SEM), Multi-Gaussian Beam Model (MGBM), Boundary Element Method (BEM), Charge Simulation Technique (CST), Elastodynamic Finite Integration Technique (EFIT), and Multiple Multi-pole Technique (MMP) has been developed and instigated in the field of computational nondestructive evaluation (CNDE) for modelling wave. Among all the techniques mentioned, FEM is considered the most efficient. In FEM, the entire problem is discretized which is time consuming. However, DPSM doesn’t require the discretization of the problem geometry. Instead, point sources are placed near boundaries and interfaces building a model that proficiently accounts for the radiation condition at interfaces. Through previous works, it has been proven that the DPSM is more accurate than the FEM at the higher frequencies. The Christoffel’s equation is solved to calculate the phase velocity of different wave front present at any point in the problem geometry. The calculated phase velocity is then used to develop the Green’s function, which in turn is used to simulate and understand the wave propagation behavior in the anisotropic half space. MATLAB is used for coding and simulation.

Full Text: