Large acoustoelastic effect
Soft Condensed Matter
2013-02-20 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1302.4555,
title = {Large acoustoelastic effect},
author = {Zaki Abiza and Michel Destrade and Ray W. Ogden},
journal= {arXiv preprint arXiv:1302.4555},
year = {2013}
}
Comments
16 pages