Reflection and transmission of a transient,elastic, line-source excited SH wave by a planar,elastic bonding surface in a solid

Closed-form time-domain expressions are obtained for the particle displacement of the elastic wave motion generated by a two-dimensional SH-wave line source and reflected and transmitted by a planar, elastic bonding interface of two homogeneous, isotropic, semi-infinite, perfectly elastic solids. The properties of the elastic bonding interface are characterized by a matrix of ‘spring coefficients’ through which the traction on each of the two faces is linearly related to the particle displacement of either of the two faces. The solution is constructed with the aid of (an extension of) the modified Cagniard method. The obtained solution of the forward model is believed to be of importance to the inverse problem that aims at reconstructing the elements of the matrix of ‘spring coefficients’ from measured values of the reflected and/or the transmitted wavefield quantities at a number of positions.