Elastodynamic well-defined fields around a propagating interface open-crack edge

Abstract

The general non-trivial asymptotic structure of stress/displacement fields around a small domain adjacent to a propagating interface crack edge and containing a small width slip-region is described in ordinary functions. The method of determining such kind of the boundary layer bases upon the asymptotic expansion matching method, complex potentials, and conform mapping. For this purpose an in-plane singular problem in the theory of linear elasticity is formulated for two dissimilar transversely-isotropic interacting half plane. The sought-for solution as the first-term of an inner expansion matches the oscillating singularity given in a general view which is the first-term of an outer expansion in, may be, general 3-D completely-open-crack problem. The unilateral constraints and unknown boundary of the slip-zone are the additional new features of the problem. The finding refine physically untrue solutions within small strip-type, near-crack-path domains in simpler interface open crack problems. A propagating semi-infinite cut with the alternative contact conditions and the penny-shaped stationary crack are considered as examples of a dynamic case and a curved crack-path. The accuracy of the approach is shown by comparing with a strict solution.