Constant amplitude acceleration waves in a prestrained incompressible isotropic elastic solid

N. H. Scott; M. Hayes

doi:10.1177/108128659700200303

Constant amplitude acceleration waves in a prestrained incompressible isotropic elastic solid

N. H. Scott, M. Hayes

Fluid and Solid Mechanics

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	291-295
Number of pages	5
Journal	Mathematics and Mechanics of Solids
Volume	2
Issue number	3
DOIs	https://doi.org/10.1177/108128659700200303
Publication status	Published - 1997

Access to Document

10.1177/108128659700200303

Cite this

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title = "Constant amplitude acceleration waves in a prestrained incompressible isotropic elastic solid",

abstract = "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.",

author = "Scott, {N. H.} and M. Hayes",

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AU - Scott, N. H.

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AB - 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.

U2 - 10.1177/108128659700200303

DO - 10.1177/108128659700200303

M3 - Article

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SP - 291

EP - 295

JO - Mathematics and Mechanics of Solids

JF - Mathematics and Mechanics of Solids

SN - 1081-2865

IS - 3

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