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Elastica-based strain energy functions for soft biological tissue
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Date
2008-04-01
Author
Krishna, Garikipati
Göktepe, Serdar
Christian, Miehe
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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.
Subject Keywords
Mechanical Engineering
,
Mechanics of Materials
,
Condensed Matter Physics
URI
https://hdl.handle.net/11511/41832
Journal
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
DOI
https://doi.org/10.1016/j.jmps.2007.07.005
Collections
Department of Civil Engineering, Article
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G. Krishna, S. Göktepe, and M. Christian, “Elastica-based strain energy functions for soft biological tissue,”
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS
, pp. 1693–1713, 2008, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41832.