Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect

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Title: Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect
Authors: Destrade, Michel
Gilchrist, M. D.
Saccomandi, Giuseppe
Permanent link: http://hdl.handle.net/10197/5961
Date: 2010
Abstract: Acousto-elasticity is concerned with the propagation of small-amplitude waves in deformed solids. Results previously established for the incremental elastodynamics of exact non-linear elasticity are useful for the determination of third- and fourth-order elastic constants, especially in the case of incompressible isotropic soft solids, where the expressions are particularly simple. Specifically, it is simply a matter of expanding the expression for ρv2, where ρ is the mass density and v the wave speed, in terms of the elongation e of a block subject to a uniaxial tension. The analysis shows that in the resulting expression: ρv2=a+be+ce2, say, a depends linearly on μ; b on μ and A; and c on μ, A, and D, the respective second-, third, and fourth-order constants of incompressible elasticity, for bulk shear waves and for surface waves.
Type of material: Journal Article
Publisher: Acoustical Society of America
Copyright (published version): 2010 Acoustical Society of America
Keywords: ElasticityAcoustic wavesElastic wavesSurface acoustic wavesSurface waves
DOI: 10.1121/1.3372624
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mechanical & Materials Engineering Research Collection

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