Third- and fourth-order elasticities of biological soft tissues

Michel Destrade, Michael Gilchrist, Ray W. Ogden

Research output: Contribution to journalArticle

35 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)2103-2106
Number of pages4
JournalJournal of the Acoustical Society of America
Volume127
Issue number4
DOIs
Publication statusPublished - Apr 2010

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Keywords

  • acoustic wave propagatiojn
  • biological effects of acoustic radiation
  • biological tissues
  • elasticity
  • gels
  • nonlinear acoustics

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