Wednesday, February 20, 2013

1302.4555 (Zaki Abiza et al.)

Large acoustoelastic effect    [PDF]

Zaki Abiza, Michel Destrade, Ray W. Ogden
Classical acoustoelasticity couples small-amplitude elastic wave propagation to an infinitesimal pre-deformation, in order to reveal and evaluate non-destructively third-order elasticity constants. Here, we see that acoustoelasticity can be also be used to determine fourth-order constants, simply by coupling a small-amplitude wave with a small-but-finite pre-deformation. We present results for compressible weakly nonlinear elasticity, we make a link with the historical results of Bridgman on the physics of high pressures, and we show how to determine "D", the so-called fourth-order elasticity constant of soft (incompressible, isotropic) solids by using infinitesimal waves.
View original: http://arxiv.org/abs/1302.4555

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