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Mathematics and Mechanics of Solids
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Constant Amplitude Acceleration Waves in a Prestrained Incompressible Isotropic Elastic Solid

N. H. Scott

School of Mathematics, University of East Anglia, Norwich NR4 7TJ, United Kingdom

M. Hayes

Department of Mathematical Physics, University College Dublin, Belfield, Dublin 4, Ireland

It is known that all transverse plane acceleration waves that propagate through a homogeneously deformed Mooney Rivlin material do so without a change in amplitude. Here it is shown that the MooneyRivlin material is the only incompressible isotropic hyperelastic material that permits transverse plane acceleration waves to propagate in any direction without a change in amplitude, regardless of the homogeneous prestrain.

Mathematics and Mechanics of Solids, Vol. 2, No. 3, 291-295 (1997)
DOI: 10.1177/108128659700200303
Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us   Add to Digg Digg   Add to Reddit Reddit   Add to Technorati Technorati    What's this?