Theoretical Full-Field Analysis of Dissimilar Isotropic Composite Annular Wedges under Anti-Plane Deformations
Resource
International Journal of Solid and Structures 41 (22-23): 6041-6080
Journal
International Journal of Solid and Structures
Journal Issue
41
Pages
6041-6080
Date Issued
2004
Date
2004
Author(s)
Lin, Ru-Li
Abstract
By using the Mellin transform technique in conjunction with the image method, the two-dimensional full-field solutions of dissimilar isotropic composite annular wedges subjected to anti-plane concentrated forces and screw dislocations are presented in explicit forms. The composite wedges consist of two materials that have equal apex angle and are bonded together along an interface. The explicit full-field solutions are presented in series forms for combinations of traction and displacement boundary conditions. For the special case of composite sharp wedges with finite radius or infinite extent, the solutions with functional forms are obtained and only consist of simple trigonometric functions. Explicit solutions of the stress intensity factors are obtained for a semi-infinite interface crack and a circular composite disk with an interface crack. With the aid of the Peach-Koehler equation, the explicit forms of the image forces exerted on screw dislocations are easily derived from the full-field solutions of stresses. Numerical results of full-field stress distributions and image forces exerted on screw dislocations are presented and discussed in detail. © 2004 Elsevier Ltd. All rights reserved.
Subjects
Composite annular wedge; Image method; Interface crack; Mellin transform; Screw dislocation
SDGs
Other Subjects
Boundary conditions; Crack initiation; Deformation; Dislocations (crystals); Image analysis; Interfaces (materials); Stress analysis; Stress concentration; Structural analysis; Composite annular wedge; Image method; Interface cracks; Mellin transform; Screw dislocation; Composite materials
Type
journal article
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