Abstract
An elastic solid consisting of a certain core of finite size (Γ) and attached infinite solid (Ω) in the form of semi-strip, semi-cylinder, or 3D plate is considered. The harmonic time dependence is assumed and all possible energy sources are placed inside Γ. The exact non-reflecting boundary conditions (NBC) are suggested in the context of needs of nondestructive testing. Normally, Γ is the region of inspection and the impact of Ω is replaced by NBC providing the absence of waves coming from infinity. These NBC are obtained in the form of two singular and one hyper singular boundary integral equations on the contact surface Γ ∩ Ω. Thus, the total problem is reduced to the system of three ordinary boundary integral equations for region Γ with three additional NBC.
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