Third- and fourth-order elasticities of biological soft tissues

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Title: Third- and fourth-order elasticities of biological soft tissues
Authors: Destrade, Michel
Gilchrist, M. D.
Ogden, Raymond W.
Permanent link: http://hdl.handle.net/10197/5962
Date: 2010
Abstract: In the theory of weakly nonlinear elasticity,Hamilton et al. [J. Acoust. Soc. Am.116, 41–44 (2004)] identified W=μI2+(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.
Type of material: Journal Article
Publisher: Acoustical Society of America
Copyright (published version): 2010 Acoustical Society of America
Keywords: Tissues;Elasticity theory;Elasticity;Anisotrophy;Acoustic wave propagation
DOI: 10.1121/1.3337232
Language: en
Status of Item: Peer reviewed
Appears in Collections:Mechanical & Materials Engineering Research Collection

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