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Elastica-based strain energy functions for soft biological tissue

Authors
Journal
Journal of the Mechanics and Physics of Solids
0022-5096
Publisher
Elsevier
Publication Date
Volume
56
Issue
4
Identifiers
DOI: 10.1016/j.jmps.2007.07.005
Keywords
  • Entropic Elasticity
  • Kinematic Constraints
  • Stationary Energy
Disciplines
  • Biology
  • Mathematics

Abstract

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.

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