Transient, Two-Dimensional, Kirchhoff Diffraction of a Plane, Elastic, SH-Wave by a Generalized Linear-Slip Fracture. Revised.

摘要

Closed-form, analytic, time-domain expressions are obtained for the particle displacement of the total wave motion arising from the two-dimensional diffraction of a plane, elastic SH-wave by an imperfection of finite width in the interfacial bonding of two semi-infinite media. The properties of the imperfection are characterized by a matrix of 'spring coefficients through which the traction on each of its two faces is linearly related to the particle displacement on either of the two faces. A boundary condition of this kind generalizes the one of a linear-slip fracture. For this reason, the imperfection can be denoted as a 'generalized linear-slip fracture.' The Kirchhoff approximation is used to solve the diffraction problem. The time-domain approximation is used to solve the diffraction problem. The time-domain expressions are obtained with the aid of the modified Cagniard method.