Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect.
|dc.contributor.author||Gilchrist, Michael D.|
|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.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.publisher||Acoustical Society of America||en_US|
|dc.subject||Acoustic wave propagation||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|
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