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Steady-state vibrations of an unbounded linear piezoelectric medium

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Abstract.

We consider fundamental (Dirichlet and Neumann-type) boundary value problems in a theory of generalized plane strain for the steady-state vibrations of an infinite piezoelectric medium with transversely isotropic symmetry (6 mm). Using integral equation methods with the appropriate Sommerfeld-type radiation conditions, we prove existence and uniqueness results for the corresponding exterior boundary value problems. Exact solutions are obtained in the form of integral potentials.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of Alberta, Edmonton, Alberta, 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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Correspondence to P. Schiavone.

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(Received: September 27, 2005)

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Lioubimova, E., Schiavone, P. Steady-state vibrations of an unbounded linear piezoelectric medium. Z. angew. Math. Phys. 57, 862–874 (2006). https://doi.org/10.1007/s00033-006-0071-8

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  • DOI: https://doi.org/10.1007/s00033-006-0071-8

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