Analysis of 2D infinite anisotropic elastic strips and semi-strips |
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| Authors: | Y. T. Hu C. Y. Chen |
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| Affiliation: | (1) Department of Mechanics, Huazhong University of Science and Technology, Wuhan 430074 State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology, Dalian 116023, P.R. China e-mail: hudeng@263.net, CN |
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| Abstract: | Summary Using Stroh's formalism and the theory of analytic functions, simple and explicit solutions for a line dislocation in an infinite anisotropic elastic strip are obtained. The two boundaries of the strip are free of traction. The problem of a dislocation in an anisotropic elastic semi-infinite strip with traction-free boundaries is also studied. A set of singular integral equations governing the unknown functions is derived. When the medium is orthogonal anisotropic and the coordinate axes x 1 x 2 x 3 are coincident with the material principal axes, all the eigenvalues of the material coefficient matrix are pure imaginary. Explicit expressions of the unknown functions are given for this case. The results obtained are valid not only for plane and anti-plane problems but also for coupled problems between in-plane and out-of-plane deformations. Received 30 October 2000; accepted for publication 28 March 2001 |
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| Keywords: | Stroh's formalism, Anisotropic elasticity strip, Green's function |
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