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dc.contributor.authorDestrade, Michel
dc.identifier.citationDestrade, M., & Ogden, R. W. On the third- and fourth-order constants of incompressible isotropic elasticity. The Journal of the Acoustical Society of America, 128(6), 3334-3343.en_US
dc.description.abstractConsider the constitutive law for an isotropic elastic solid with the strain-energy function expanded up to the fourth order in the strain and the stress up to the third order in the strain. The stress-strain relation can then be inverted to give the strain in terms of the stress with a view to considering the incompressible limit. For this purpose, use of the logarithmic strain tensor is of particular value. It enables the limiting values of all nine fourth-order elastic constants in the incompressible limit to be evaluated precisely and rigorously. In particular, it is explained why the three constants of fourth-order incompressible elasticity are of the same order of magnitude. Several examples of application of the results follow, including determination of the acoustoelastic coefficients in incompressible solids and the limiting values of the coefficients of nonlinearity for elastic wave propagation.en_US
dc.description.sponsorshipSeventh Framework Programme of the European Commission (Marie Curie Fellowship), Science Foundation Ireland (E.T.S. Walton Award) - Grant No. SFI 08/W.1/B2580en_US
dc.publisherAcoustical Society of Americaen_US
dc.subjectAcoustic wave propagationen_US
dc.subjectStress-strain relationsen_US
dc.titleOn the third- and fourth-order constants of incompressible isotropic elasticity.en_US

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