Elastica-based strain energy functions for soft biological tissue

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Krishna G., GÖKTEPE S., Christian M.

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, vol.56, no.4, pp.1693-1713, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 4
  • Publication Date: 2008
  • Doi Number: 10.1016/j.jmps.2007.07.005
  • Journal Name: JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1693-1713
  • Keywords: entropic elasticity, kinematic constraints, stationary energy, MAMMALIAN TENDON, MECHANICAL MODEL, COLLAGEN, LIGAMENT, ULTRASTRUCTURE, CRIMP
  • Middle East Technical University Affiliated: No

Abstract

Continuum strain energy density functions are developed for soft biological tissues that possess slender, fibrillar components. The treatment is based on the model of an elastica, which is our fine scale model, and is homogenized in a simple fashion to obtain a continuum strain energy density function. Notably, we avoid solving the exact, fourth-order, non-linear, partial differential equation for deformation of the elastica by resorting to other assumptions, kinematic and energetic, on the response of individual, elastica-like fibrils. The formulation, discussion of responses of different models and comparison with experiment are presented. (C) 2007 Elsevier Ltd. All rights reserved.