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On the Solution of Mixed Problems in Linear Anti-plane Piezoelectricity

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Abstract

In the present paper we consider interior and exterior mixed boundary value problems of anti-plane shear in the static theory of linear piezoelectricity. Using the boundary integral equation method we reduce the problems to systems of singular integral equations with discontinuous coefficients to which the classical Nöether’s theorems on existence of the solution can be applied. This allows us to establish well-posedness results and to obtain integral solutions of the corresponding mixed boundary value problems for a rather general class of piezoelectric materials.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, Edmonton, AB, Canada, T6G 2G8.

    E. Lioubimova & P. Schiavone

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  1. E. Lioubimova
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  2. P. Schiavone
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Mathematics Subject Classifications (2000)

45E05, 45F15, 74F15.

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Lioubimova, E., Schiavone, P. On the Solution of Mixed Problems in Linear Anti-plane Piezoelectricity. J Elasticity 77, 1–12 (2004). https://doi.org/10.1007/s10659-005-4223-4

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  • DOI: https://doi.org/10.1007/s10659-005-4223-4

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