Numerical modelling for scattering of waves in three‐dimensional cracked material

In this paper, a mathematical model is proposed for the problem of the scattering of plane waves in a three‐dimensional cracked materials. Instead of obtaining closed‐form solutions as in conventional theoretical analysis methods, this approach, called the Equivalent Nodal Force (ENF) method formulates the mechanical effects of cracks as an equivalent nodal force in a numerical procedure, and physically translates cracked material into an equivalent continuous one. Several mechanical relations between waves and cracks are evident from this method. Also the results of several numerical calculations are presented and these are compared with those obtained by the conventional methods.