Type

Journal Article

Authors
Subjects
Topics
surface acoustic waves motion sound linear models elastic waves elasticity acoustic waves models theoretical surface waves small amplitude waves nonlinear dynamics soft solids elastic modulus non linear elasticity acoustic wave propagation elastic constants elastic solids acoustics

#### Third- and fourth-order constants of incompressible soft solids and the acousto-elastic effect. (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 $\rho v^2$, 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.
Collections Ireland -> National University of Ireland Galway -> Mathematics
Ireland -> National University of Ireland Galway -> School of Mathematics, Statistics and Applied Mathematics
Ireland -> University College Dublin -> Mechanical & Materials Engineering Research Collection
Ireland -> National University of Ireland Galway -> Mathematics (Scholarly Articles)
Ireland -> National University of Ireland Galway -> College of Science
Ireland -> University College Dublin -> College of Engineering & Architecture
Ireland -> University College Dublin -> School of Mechanical and Materials Engineering

#### Full list of authors on original publication

Michael D. Gilchrist, Michel Destrade, Giuseppe Saccomandi

#### Experts in our system

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M. D. Gilchrist
University College Dublin
Total Publications: 172

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