Elastodynamic antiplane deformation of a bimaterial with an imperfect viscoelastic interface: A dual reciprocity hypersingular boundary integral solution

A boundary element method based on a hypersingular integral and dual-reciprocity formulation is proposed for the numerical solution of a dynamic antiplane problem involving an elastic bimaterial with an imperfect viscoelastic interface. The interface is modelled using linear springs and dashpots with a jump in the interfacial displacement. To reduce the problem approximately to a system of linear algebraic equations, the Laplace transform is employed to suppress the time derivatives of the unknown functions. Once the linear algebraic equations are solved, the physical solution is recovered through the use of a numerical method for inverting Laplace transform. The proposed method is applied to solve some specific problems.