![]() ![]() The exact analytical nature of proposed solutions can be applied very conveniently and rapidly to high-frequency steady-state cases, enhancing the computation efficiency in transient cases when performing the fast Fourier transform. Comparisons with published data for the dynamic stress intensity factor show good agreement. ![]() Frequency-domain results are given for extremely near, near, and far fields, whereas time-domain ones are for horizontal surface and subsurface motions. An exact analytical determination of unknown coefficients is carried out by insuring the vanishing of normal stresses on crack faces. The total displacement field is expressed as infinite series containing products of radial and angular Mathieu functions with unknown coefficients. The method of separation of variables is adopted to derive an exact series solution. Scattering and diffraction problems of a vertical edge crack connected to the surface of a half space are considered for antiplane shear wave incidence. ![]()
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