Abstract The dynamic behavior of a multi-layer inclusion embedded in right side of a bi-material half space subjected to SH waves is investigated in this paper. Some analytical solution methods like image method, region matching method, Green function method, and complex function method are used to determine the displacement fields along the surfaces of the linings. Then, a parametric study is conducted to study the effects of some material parameters on the DSCFs around the linings’ surfaces of a multi-layer inclusion. The results show that the DSCFs around the individual linings are influenced by some material parameters like their shear moduli, densities, thicknesses, etc. The DSCFs around the linings of a multi-layer inclusion with different material properties and thicknesses are presented graphically.
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