dc.contributor.author Destrade, Michel dc.contributor.author Gilchrist, Michael D. dc.date.accessioned 2013-02-11T11:54:19Z dc.date.available 2013-02-11T11:54:19Z dc.date.issued 2010-02 dc.identifier.citation Destrade, M., Gilchrist, M. D., & Saccomandi, G. Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect. The Journal of the Acoustical Society of America, 127(5), 2759-2763. en_US dc.identifier.issn 0001-4966 dc.identifier.uri http://hdl.handle.net/10379/3220 dc.description.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 $\rho v^2$, where $\rho$ 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: $\rho v^2 = a + be + ce^2$, say, $a$ depends linearly on $\mu$; $b$ on $\mu$ and $A$; and $c$ on $\mu$, $A$, and $D$, the respective second-, third, and fourth-order constants of incompressible elasticity, for bulk shear waves and for surface waves. en_US dc.format application/pdf en_US dc.publisher Acoustical Society of America en_US dc.rights Attribution-NonCommercial-NoDerivs 3.0 Ireland dc.rights.uri https://creativecommons.org/licenses/by-nc-nd/3.0/ie/ dc.subject Acoustic wave propagation en_US dc.subject Elastic constants en_US dc.subject Elasticity en_US dc.subject Surface acoustic waves en_US dc.title Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect. en_US dc.type Article dc.local.publishedsource http://dx.doi.org/10.1121/1.3372624 en_US nui.item.downloads 388
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