Anisotropy in hypoelastic soft-tissue mechanics, II: Simple extensional experiments

Freed, Alan

doi:10.2140/jomms.2009.4.1005

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Anisotropy in hypoelastic soft-tissue mechanics II: Simple extensional experiments

Alan D. Freed

Vol. 4 (2009), No. 6, 1005–1025

DOI: 10.2140/jomms.2009.4.1005

Abstract

Isochoric, hypoelastic, material models are employed to describe the passive response of isotropic and anisotropic soft tissues, using experimental data that have been taken from the literature. The isotropic tissues modeled are elastin and fat, and the anisotropic tissue modeled is tendon. A graphical technique is provided for estimating the material parameters of the anisotropic model, whose values are contrasted with maximum likelihood estimates. All numerical integrations were made with a new 4(3) Runge–Kutta integrator whose quadratures and weights are motivated by finite-element theory.

Keywords

anisotropy, calcaneal fat pad, elastin, fascia lata, finite deformation, hypoelasticity, log likelihood, parameter estimation, Runge–Kutta integrator

Mathematical Subject Classification 2000

Primary: 74B20, 74L15

Milestones

Received: 3 September 2008

Revised: 4 June 2009

Accepted: 4 June 2009

Published: 14 September 2009

Authors

Alan D. Freed
Saginaw Valley State University 202 Pioneer Hall 7400 Bay Road University Center, MI 48710 United States

Vol. 4, No. 6, 2009