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dc.contributor.authorDestrade, Michel
dc.contributor.authorGilchrist, Michael D.
dc.identifier.citationDestrade, M., Gilchrist, M. D., & Ogden, R. W. (2013). Third and fourth-order elasticity of biological soft tissues. Journal of the Acoustical Society of America, 127.en_US
dc.description.abstractIn the theory of weakly nonlinear elasticity, Hamilton et al. [J. Acoust. Soc. Am. 116, 41-44 (2004)] identified W = -I2+(A/3)I3+DI22 as the fourth-order expansion of the strain-energy density for incompressible isotropic solids. Subsequently, much effort focused on theoretical and experimental developments linked to this expression in order to inform the modeling of gels and soft biological tissues. However, while many soft tissues can be treated as incompressible, they are not in general isotropic, and their anisotropy is associated with the presence of oriented collagen fiber bundles. Here the expansion of W is carried up to fourth order in the case where there exists one family of parallel fibers in the tissue. The results are then applied to acoustoelasticity, with a view to determining the second- and third-order nonlinear constants by employing small-amplitude transverse waves propagating in a deformed soft tissue.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.subjectBiological effects of acoustic radiationen_US
dc.subjectBiological tissuesen_US
dc.subjectNonlinear acousticsen_US
dc.titleThird and fourth-order elasticity of biological soft tissuesen_US

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