Dynamic analysis for circular inclusions of arbitrary positions near interfacial crack impacted by SH-wave in half-space

The diffraction of time harmonic anti-plane shear waves by arbitrary positions of inclusions and a finite length interfacial crack embedded in an elastic half-space is considered by using Green's function and complex function methods. With the aid of image method, the expression of scattering wave as well as the Green's function are constructed. A series of Fredholm integral equations containing unknown forces at the linking sections are obtained via the interface “conjunction” technique. The integral equations are reduced to a system of linear algebraic equations by using the effective truncation. Steady-state responses for some parameters are calculated and discussed. Numerical results demonstrate that the geometry under consideration is indeed capable of causing a localized high concentration of wave energy underground. Graphical results for the dynamic stress concentration factors are presented.