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Perturbation method of the piezoelectric fracture mechanics considering the permittivity of the medium in the crack gap

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Abstract

In this paper, the problem of the cracks with arbitrary forms in piezoelectric material is studied. The permittivity of the medium in the crack gap is considered. Except the collinear cracks, this boundary condition is too difficult to deal with; therefore, a perturbation method is recommended. By the way, the electric boundary conditions of electric fracture mechanics are discussed. For example, a small parameter solution of a crack is given and compared with the known `exact' (it will be discussed later) solution. This result shows that the impermeable or permeable conditions are only the boundary conditions for the first approximations of the perturbation solutions.

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Authors and Affiliations

  1. Dong Hua (China Textile), University Shanghai, P.O. Box 220, 200051, P.R. China

    Hao Tian-hu

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  1. Hao Tian-hu
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Tian-hu, H. Perturbation method of the piezoelectric fracture mechanics considering the permittivity of the medium in the crack gap. International Journal of Fracture 126, 57–69 (2004). https://doi.org/10.1023/B:frac.0000025280.46315.35

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  • DOI: https://doi.org/10.1023/B:frac.0000025280.46315.35

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