Application of the m-integral to cracked anisotropic composite wedges
Resource
International Journal of Solids and Structures 28 (5): 595-605
Journal
International Journal of Solids and Structures
Journal Volume
28
Journal Issue
5
Pages
595-605
Date Issued
1991
Date
1991
Author(s)
Abstract
The path-independent M-integral is utilized to derive close form solutions for energy release rates for edge cracks in composite wedges under several loading conditions. The composite wedge considered consists of n wedges of different anisotropic elastic materials and wedge angles. The edge crack extends from the apex of the composite wedge and can lie either in the homogeneous region or along one of the interfaces. Three types of problem are considered. In the type 1 problem, concentrated forces are applied at the apexes. In the type 2 problem, the faces of the composite wedge are subjected to constant displacements. In the type 3 problem, mixed boundary conditions are prescribed at the wedge faces. For interface cracks, results are valid for "traction-free" cracks as well as for cracks with contact zones. For type 2 and type 3 problems, it is found that the energy release rate is independent of the crack orientation. © 1991.
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