Wednesday, June 5, 2013

1306.0190 (Michel Destrade)

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

Michel Destrade
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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