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Interface cracks in anisotropic bimaterials

Authors
Journal
Journal of the Mechanics and Physics of Solids
0022-5096
Publisher
Elsevier
Publication Date
Volume
38
Issue
4
Identifiers
DOI: 10.1016/0022-5096(90)90011-r

Abstract

Abstract It is known that the displacement at the interface crack surface in a bimaterial under a two-dimensional deformation may be oscillatory. The existence of oscillation depends on the material properties and the orientations of the two materials on both sides of the crack-interface. We show in this paper that the existence of oscillation depends on the material properties only and is otherwise independent of the individual orientation of the two materials. This means that. if the crack surface displacement is oscillatory for one choice of orientations of the two materials, no other orientations obtained by rotating about the x 3 -axis can alleviate the oscillation. Conversely, if the crack surface displacement is not oscillatory for one choice of orientations of the two materials, no other orientations can generate oscillation. An exception is the Type B bimaterials defined in the paper for which the crack surface displacement is always oscillatory except for a particular Type B bimaterial at a particular choice of relative orientation. For bimaterials which consist of two different orthotropic materials, it is shown that whether the crack surface displacement is oscillatory or not depends on whether C 11C 22 +C 12 of the two materials are different or not.

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