Abstract
In this paper, the scattering of slow flexural waves by arbitrary shaped cavities in an infinite elastic plate is studied using a combined finite element and analytical method. The problem is considered as consisting of two interacting systems, a bounded interior region containing all material and geometric irregularities, and an unbounded exterior region. The interior region is modelled by using Mindlin type plate bending elements. Wave function expansion is used to represent the exterior region. Continuity of displacements and tractions are enforced at the nodes on the finite element interface with the exterior region. Comparison of present results for circular cavity with the analytical solution shows excellent agreement. Finally, scattering by triangular and square shaped cavities as well as a pair of circular cavities is considered.
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