Elastodynamic responses due to anti-plane point impact loadings on the faces of an interface crack along dissimilar anisotropic materials
Journal
International Journal of Solids and Structures
Journal Volume
28
Journal Issue
6
Pages
751-768
Date Issued
1991
Author(s)
Abstract
The transient elastodynamic fields and the stress intensity factor of a semi-infinite interface crack lying between dissimilar anisotropic half planes are analyzed. The crack is subjected to a pair of suddenly-applied anti-plane concentrated point loadings on its faces, at a distance l away from the crack tip. The problem is first transformed into one with the interface crack lying between dissimilar isotropic half planes by a transformation of relevant coordinates and parameters. The crucial steps in the analysis are then the direct application of integral transforms together with the Wiener- Hopf technique and the Cagniard-de Hoop method, which were previously believed not to be appropriate. Exact expressions are obtained for the resulting mode-III stress intensity factors. K ̂III, and radiated stress fields as functions of time. The numerical results are presented for both anti-symmetric and symmetric loadings. The results show that K ̂III is almost constant with time, but experiences discontinuity at a time t = s2l, which is the arrival time of the cylindrical wave emitted from the point loading of the slower medium on the crack tip. Moreover. K ̂III jumps to the appropriate static value (at t = s2l) for the case of anti-symmetric loading but not for the case of symmetric loading. The results also show that the transient radiated stress component τθt has fewer discontinuities and fewer singularities than other stress components. On the other hand, the order of magnitude of τθt is one less than that of τθt. © 1991.
SDGs
Type
journal article