Vol. 4, No. 6, 2009

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

Alan D. Freed

Vol. 4 (2009), No. 6, 1005–1025

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.

anisotropy, calcaneal fat pad, elastin, fascia lata, finite deformation, hypoelasticity, log likelihood, parameter estimation, Runge–Kutta integrator
Mathematical Subject Classification 2000
Primary: 74B20, 74L15
Received: 3 September 2008
Revised: 4 June 2009
Accepted: 4 June 2009
Published: 14 September 2009
Alan D. Freed
Saginaw Valley State University
202 Pioneer Hall
7400 Bay Road
University Center, MI 48710
United States