Dynamic fracture behavior of a cracked piezoelectric half space under anti-plane mechanical and in-plane electric impact |
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Authors: | Z. T. Chen M. J. Worswick |
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Affiliation: | (1) Department of Mechanical Engineering, University of Waterloo, 200 University Avenue West, Waterloo, Ontario, Canada, N2L 3G1 Tel.: (519)888-4567x2309; Fax: (519)888-6197; e-mail: ztchen@lagavulin.uwaterloo.ca, CA |
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Abstract: | Summary The dynamic response of a cracked piezoelectric half-space under anti-plane mechanical and in-plane electric impacting loads is investigated in the present paper. In the study, the crack is assumed parallel to the free surface of the half-space. Laplace and Fourier transforms are used to reduce the mixed boundary value problems to Cauchy-type singular integral equations in the Laplace transform domain, which are solved numerically. Then, a numerical Laplace inversion is performed and the dynamic stress and electric displacement factors are obtained as functions of time and geometry parameters. The dynamic energy release rate is derived for piezoelectric materials in terms of the electroelastic intensities and is displayed graphically. Received 5 January 2000; accepted for publication 28 June 2000 |
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Keywords: | Ceramics, Dynamic Fracture Mechanics, Electromechanical Impact, Piezoelectricity |
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