A 3-D rectangular permeable crack or two 3-D rectangular permeable cracks in a piezoelectric material |
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Authors: | Zhen-Gong Zhou Zeng-Tao Chen |
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Institution: | (1) Center for Composite Materials and Structures, Harbin Institute of Technology, P. O. Box 3010, 150080 Harbin, People’s Republic of China |
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Abstract: | The solutions of a 3-D rectangular permeable crack and two 3-D rectangular permeable cracks in a piezoelectric material were
investigated by using the generalized Almansi’s theorem and the Schmidt method. The problem was formulated through Fourier
transform into three pairs of dual integral equations, in which the unknown variables are the displacement jumps across the
crack surfaces. To solve the dual integral equations, the displacement jumps across the crack surfaces were directly expanded
as a series of Jacobi polynomials. Finally, the effects of the shape of the rectangular crack and the distance between two
rectangular cracks on the stress and electric displacement intensity factors in a piezoelectric material were analyzed. These
results can be used for the strength and the coupling effect evaluation of cracked piezoelectric materials. |
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Keywords: | |
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