GREEN''''S FUNCTIONS FOR A 2D ANISOTROPIC MEDIUM WITH A HYPERBOLIC BOUNDARY |
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Authors: | Hu Yiantai Huang Yuying Chen Chuanyao |
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Affiliation: | (1) Department of Mechanics, Huazhong University of Science and Technology, 430074 Wuhan, China |
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Abstract: | By using Stroh's formalism and the conformal mapping technique, this paper derives simple explicit Green's functions of a piezoelectric anisotropic body with a free or fixed hyperbolic boundary. The corresponding elastic fields in the medium are obtained, too. In particular, degenerated solutions of an external crack from those of a hyperbolic problem are analysed in detail. Then the singular stress fields and the fracture mechanics parameters are found. The solutions obtained are valid not only for plane and antiplane problems but also for the coupled ones between inplane and outplane deformations. |
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Keywords: | Stroh's formalism conformal mapping Green's functions external crack stress intensity factors |
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