The diffraction of P and SV-waves by a finite crack located on a symmetric surface of orthotropy is considered. By obtaining the singular stress distributions near the crack tip and dynamic stress-intensity factors, we show the influences of orthotropy on the stress distributions with orthotropic parameters, κα and κβ, and on the stress-intensity factors for P-waves in graph. The solution is presented in the form of integral equation having the kernel of a finite integration which is derived under some restrictions among the elastic constants. The conditions are satisfied for many orthotropic solids.

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