Abstract
A formulation for the scattering of elastic waves by inhomogeneities embedded in an infinite space is presented and an approximate solution procedure in the spirit of Born approximation is introduced. The Born approximation has been a valuable tool in quantum mechanics. It is based on the integral representation of the field equations which are conventionally derived as partial differential equations, and consists of an iterative solution of these integral equations. The principal motivation for this work is the need of studying waves scattered by objects of irregular shapes. The analysis is for the cavity (lined and unlined) and for rigid inclusion (fixed and movable) cases. Both the near and far field solutions and the solution for the global motion of rigid inclusions are presented.
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