Journal Article


Michael D. Gilchrist
Michel Destrade



elasticity small amplitude waves biological soft tissues acoustic wave propagation biological tissues biological effects of acoustic radiation gels nonlinear acoustics

Third and fourth-order elasticity of biological soft tissues (2010)

Abstract In 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.
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Full list of authors on original publication

Michael D. Gilchrist, Michel Destrade

Experts in our system

M. D. Gilchrist
University College Dublin
Total Publications: 172
Michel Destrade
National University of Ireland Galway
Total Publications: 106