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Time-Domain BEM Analysis of Cracked Piezoelectric Solids under Impact Loading

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Computational Mechanics

Abstract

In this paper, transient dynamic crack analysis of two-dimensional (2-D), homogeneous and linear piezoelectric solids is presented. A time-domain boundary element method (BEM) is applied. The method uses a combination of the strongly singular displacement boundary integral equations (BIEs) and the hypersingular traction BIEs. Strongly singular displacement BIEs are used on the external boundary of the cracked solid, while hypersingular traction BIEs are applied on the crack-faces. Collocation method is implemented for the spatial discretization, while a convolution quadrature formula is adopted for the temporal discretization. Numerical examples are presented and discussed to verify the efficiency and the accuracy of the present method, and to show the effects of the mechanical and the electrical impact loading on the dynamic intensity factors.

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Authors and Affiliations

  1. Department of Civil Engineering, University of Siegen, Paul-Bonatz-Str. 9-11, D-57076, Siegen, Germany

    Ch. Zhang

  2. Department of Civil Engineering, Materials and Manufacturing, University of Málaga, Campus de El Ejido S/N, 29013, Málaga, Spain

    F. García-Sánchez

  3. Department of Continuum Mechanics, University of Sevilla, Camino de los Descubrimientos S/N, E-41092, Sevilla, Spain

    A. Sáez

Authors
  1. Ch. Zhang
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  2. F. García-Sánchez
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  3. A. Sáez
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© 2007 Tsinghua University Press & Springer

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Zhang, C., García-Sánchez, F., Sáez, A. (2007). Time-Domain BEM Analysis of Cracked Piezoelectric Solids under Impact Loading. In: Computational Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75999-7_19

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