Diffraction of elastic waves by an elliptic crack. II
A recently developed integral equation technique [see part I, ibid. 22, 729-739 (1984; Zbl 0551.73029)] is used to obtain a low frequency solution for the diffraction of a plane compressional or shear wave by an elliptic crack embedded in an elastic medium. The mixed boundary value problem is reduced to a coupld system of integro-differential equations. A formal power series solution for the coupled system of integro- differential equations is developed. Attention is focussed on the farfield scattered amplitudes and the dynamic stress intensity factor. The limiting values when the ellipse degenerate into a circle agree with those of a circular crack.
coupld system of integro-differential equations
scientific article; zbMATH DE number 3970186