Transient SIF results for a cracked viscoelastic strip under concentrated impact loading - An integral-transform/function-theoretic approach

摘要

The diffraction of transient SH waves by a long crack in a strip of viscoelastic material is considered. These viscoelastic waves are generated by a pair of suddenly applied, equal but opposite concentrated anti-plane forces, which tend to separate the crack faces in a tearing mode. In this way, the present solution provides Green's function for the more general case of spatially non-uniform loading of the cracked strip. The diffraction problem, which contains two characteristic lengths, is solved asymptotically by a function-theoretic method in conjunction with a numerical technique for Laplace-transform inversion. Attention is focused on the time-dependent stress intensity factor (SIF). Extensive numerical results for the SIF dependence upon the viscoelastic material parameters and the ratio of characteristic lengths are provided.