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Finite-Amplitude Inhomogeneous Plane Waves of Exponential Type in Incompressible Elastic Materials

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Abstract

It is proved that elliptically polarized finite-amplitude inhomogeneous plane waves may not propagate in an elastic material subject to the constraint of incompressibility. The waves considered are harmonic in time and exponentially attenuated in a direction distinct from the direction of propagation. The result holds whether the material is stress-free or homogeneously deformed.

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Authors and Affiliations

  1. Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland E-mail

    M. Destrade

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  1. M. Destrade
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Destrade, M. Finite-Amplitude Inhomogeneous Plane Waves of Exponential Type in Incompressible Elastic Materials. Journal of Elasticity 55, 163–166 (1999). https://doi.org/10.1023/A:1007669503765

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  • DOI: https://doi.org/10.1023/A:1007669503765

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