The elastodynamic bimaterial interface under mode I and mode II loading

This article provides the mathematical solutions to elastodynamic fields of a semi-infinite interface lying along two dissimilar media subjected sudden loading. The offers solution cases when: (1) slips, i.e., it cannot transfer shear stress from one material other, which represents Hertzian contact; (2) is welded, all components are transferred, in case acts as crack. We obtain full, explicit analytic slipping boundary via Wiener–Hopf and Cagniard-de Hoop techniques. show that such does not entail an oscillatory singularity at crack tip owing fact forces transferred across interface. welded leads matricial problem reducible any form would allow immediate factorisation resulting scattering kernel matrix. this achieved successive Abrahams approximations itself, rather than Williams expansion elastic displacement field. quickly convergent retains asymptotic character near far Explicit proof nature provided by studying matrix, field shown reduce Daniele-Khrapkov amenable factorisation. presented explicit, will prove eminently useful modelling fast fibre debonding composite materials, study seismic waves cracks faults layered media.