Abstract
This paper demonstrates a method for the calculation of the dynamic stress concentration factor when a time-harmonic elastic wave is incident upon a cylindrical cavity of arbitrary cross-section. We discuss in particular a procedure which enables cross-sectional shapes with corners to be examined, although we also consider how shapes with smooth surfaces may be handled. Our method is a computational one, and is based upon Waterman's T-matrix formulation. It is shown that for scatterers with corners a piecewise basis must be chosen to represent the surface displacement. The algebraic system of equations obtained from the integral equations and appropriate constraints on the basis representation are then sufficient to determine the stress concentration uniquely. Results are given for cylindrical cavities with square, elliptic and intersecting circular cross sections for SH wave incidence.
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