Green’s functions for anti-plane deformations of a circular arc-crack at the interface of piezoelectric materials |
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Authors: | Email author" target="_blank">C-F?GaoEmail author H?Kessler H?Balke |
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Institution: | (1) Department of Mechanical Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong;(2) Institute of Solid Mechanics, Dresden University of Technology, 01062 Dresden, Germany |
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Abstract: | Summary The anti-plane deformation problem of an interfacial debounding crack between a circular piezoelectric inclusion and a piezoelectric matrix is investigated by means of the complex variables method. For a line load applied within the matrix or inside the inclusion, Greens functions are presented for the complex potentials, intensity factors and electric fields on the crack faces, respectively, in closed and explicit form. The solutions are valid for both permeable and impermeable crack models. It is shown that, in the general case of permeable cracks, the electric field singularity is always proportional to the stress singularity.The first author (C.F.Gao) would like to express his gratitude for the support of the Alexander von Humboldt Foundation (Germany). |
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Keywords: | Piezoeletricity Greens Function" target="_blank">gif" alt="rsquo" align="BASELINE" BORDER="0">s Function Anti-Plane Strain Inclusion Arc Interface Crack Complex Method |
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