Type

Journal Article

Authors

Raymond W. Ogden
M. D. Gilchrist
Michel Destrade

Subjects

Engineering

Topics
physiology humans nonlinear elasticity nonlinear dynamics acoustic wave propagation acoustics animals connective tissue anatomy histology models biological elasticity theory elasticity imaging techniques anisotrophy biological soft tissues anisotropy small amplitude waves elasticity tissues fibrillar collagens

Third- and fourth-order elasticities 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=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.
Collections Ireland -> University College Dublin -> Mechanical & Materials Engineering Research Collection
Ireland -> University College Dublin -> College of Engineering & Architecture
Ireland -> University College Dublin -> School of Mechanical and Materials Engineering

Full list of authors on original publication

Raymond W. Ogden, M. D. Gilchrist, Michel Destrade

Experts in our system

1
M. D. Gilchrist
University College Dublin
Total Publications: 172
 
2
Michel Destrade
National University of Ireland Galway
Total Publications: 106