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dc.contributor.authorDestrade, Michel
dc.contributor.authorGilchrist, Michael D.
dc.identifier.citationDestrade, 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.description.abstractAcousto-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.publisherAcoustical Society of Americaen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.subjectAcoustic wave propagationen_US
dc.subjectElastic constantsen_US
dc.subjectSurface acoustic wavesen_US
dc.titleThird- and fourth-order constants of incompressible soft solids and the acousto-elastic effect.en_US

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