Transient two-dimensional Kirchhoff diffraction of a plane elastic SH wave by a generalized linear-slip fracture*

Astronomy and Astrophysics – Astronomy

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Kirchhoff Diffraction, Linear-Slip Fracture, Sh Wave, Time Domain<X>, .</X>

Scientific paper

Closed-form analytic time-domain expressions are obtained for the particle displacement of the total wave motion arising from the 2-D 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 that 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 expressions are obtained with the aid of the modified Cagniard method.

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