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Comparison of several BEM-based approaches in evaluating crack-tip field intensity factors in piezoelectric materials

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Abstract

From the viewpoint of fracture mechanics, of importance is the near-tip field which can be characterized as field intensity factors. In this paper, the crack-tip field intensity factors of the stress and electric displacement in two dimensional piezoelectric solids are evaluated by using four approaches including the displacement extrapolation, the stress method, the J-integral and the modified crack closure integral method (MCCI) based on a boundary element method (BEM). The strongly singular displacement boundary integral equations (BIEs) are applied on the external boundary of the cracked solid, while the hypersingular traction BIEs are used on the crack faces. Three numerical examples are presented to show the path independence and the high accuracy of the J-integral in piezoelectric materials and to analyze the pros and cons of these approaches in evaluating the field intensity factors.

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Acknowledgments

This work is supported by the Funding Project (No. 067135300100) for Academic Human Resources Development in Institutions of Higher Learning under the Jurisdiction of Beijing Municipality and the German Research Foundation (DFG) under the Project No. ZH 15/14-1, which are gratefully acknowledged.

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Authors and Affiliations

  1. Department of Engineering Mechanics, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    Jun Lei & Hongyan Wang

  2. Department of Civil Engineering, University of Siegen, 57068 , Siegen, Germany

    Chuanzeng Zhang & Tinh Quoc Bui

  3. Departamento de Ingeniería Civil, de Materiales y Fabricación, E.T.S. de Ingenieros Industriales, Universidad de Málaga, 29013 , Málaga, Spain

    Felipe Garcia-Sanchez

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  1. Jun Lei
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  2. Hongyan Wang
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  3. Chuanzeng Zhang
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  4. Tinh Quoc Bui
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  5. Felipe Garcia-Sanchez
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Correspondence to Jun Lei.

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Lei, J., Wang, H., Zhang, C. et al. Comparison of several BEM-based approaches in evaluating crack-tip field intensity factors in piezoelectric materials. Int J Fract 189, 111–120 (2014). https://doi.org/10.1007/s10704-014-9964-2

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  • DOI: https://doi.org/10.1007/s10704-014-9964-2

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