Elastica-based strain energy functions for soft biological tissue

Details Elastica-based strain energy functions for soft biological tissue Elastica-based strain energy functions for soft biological tissue

2007-01-03

arxiv.org/abs/q-bio/0701006v5

Biology

Quantitative Biology

Tissues and Organs

To appear in J. Mech. Phys. Solids

Scientific paper

10.1016/j.jmps.2007.07.005

Continuum strain energy functions are developed for soft biological tissues that possess long 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 function. Notably, we avoid solving the full fourth-order, nonlinear, partial differential equation for the elastica by resorting to other assumptions, kinematic and energetic, on the response of the individual, elastica-like fibrils.

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