Finite-amplitude inhomogeneous plane waves of exponential type in incompressible elastic materials

Michel Destrade

doi:10.1023/a:1007669503765

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arXiv · 1306.0190

Finite-amplitude inhomogeneous plane waves of exponential type in incompressible elastic materials

Michel Destrade

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Abstract

It is proved that elliptically-polarized finite-amplitude inhomogeneous plane waves may not propagate in an isotropic 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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Michel Destrade. 2013-06-02. Finite-amplitude inhomogeneous plane waves of exponential type in incompressible elastic materials. https://doi.org/10.1023/a%3A1007669503765

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