Fredholm integral equation approach for multiple crack problem in antiplane shear and inplane electric field of piezoelectric materials |
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Authors: | Y. Z. Chen X. Y. Lin |
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Affiliation: | (1) Division of Engineering Mechanics, Jiangsu University, 212013 Zhenjiang, Jiangsu, People’s Republic of China |
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Abstract: | In this paper, the basic presentation in antiplane shear and inplane electric field of piezoelectric materials is refreshed. In order that the functions used in the formulation can be distinguished by their usage, four analytic functions, or four complex potentials, are introduced. A multiple crack problem for piezoelectric materials is studied. After taking the traction or the electric displacement on the crack face as unknown functions, one can naturally obtain a Fredholm integral equation for the multiple crack problem. It is found that the Fredholm integral equation approach is effective for solving the multiple crack problem. Finally, numerical examples are given. |
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Keywords: | Piezoelectric materials Antiplane shear Inplane electric field Fredholm integral equation Multiple crack problem Stress intensity factors Electric displacement intensity factors |
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