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Influence of concentrated loading on opening of an interface crack between piezoelectric materials in a compressive field

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Abstract

A plane problem for an electrically permeable tunnel crack between two piezoelectric half-spaces under concentrated loading applied to the crack faces and remote mixed-mode loading is studied. The elastic displacement and potential jumps as well as the stresses and electrical displacement along the interface are represented via sectionally holomorphic vector functions. At the crack tip, we assume closed crack faces with frictionless contact at the crack tip. The problem is reduced to combined Dirichlet–Riemann boundary value problems that are solved analytically. From these solutions, clear analytical expressions for characteristics of the electromechanical field at the interface are derived. A transcendental equation, which determines the point of separation of the open and closed section of the crack, is found. The stress intensity factors at the crack tip and the energy release rate are calculated. The influence of the magnitude and the locations of the applied concentrated loading upon the contact zone length and the associated fracture mechanical parameters is considered.

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Authors and Affiliations

  1. Department of Computational Mathematics, Dniepropetrovsk National University, Gagarin Av. 72, Dniepropetrovsk, 49010, Ukraine

    V. Govorukha & A. Sheveleva

  2. Institute of Applied Materials, Karlsruhe Institute of Technology, Hermann-von-Helmholtz-Platz 1, 76344, Eggenstein-Leopoldshafen, Germany

    M. Kamlah

Authors
  1. V. Govorukha
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  2. M. Kamlah
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  3. A. Sheveleva
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Correspondence to A. Sheveleva.

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Govorukha, V., Kamlah, M. & Sheveleva, A. Influence of concentrated loading on opening of an interface crack between piezoelectric materials in a compressive field. Acta Mech 226, 2379–2391 (2015). https://doi.org/10.1007/s00707-015-1329-z

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  • DOI: https://doi.org/10.1007/s00707-015-1329-z

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