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Bending instabilities of soft biological tissues

Destrade, Michel
; 
Ní Annaidh, Aisling
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Publication Date
2009-12-15
Keywords
Large bending, Nonlinear elasticity, Bifurcation, Strain-stiffening effect, Soft biological tissue modeling
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Article
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Destrade, M., Ní Annaidh, A., & Coman, C. D. (2009). Bending instabilities of soft biological tissues. International Journal of Solids and Structures, 46(25-26), 4322-4330.
Abstract
Rubber components and soft biological tissues are often subjected to large bending deformations while 'in service'. The circumferential line elements on the inner face of a bent block can contract up to a certain critical stretch ratio [delta]cr (say) before bifurcation occurs and axial creases appear. For several models used to describe rubber, it is found that [delta]cr=0.56, allowing for a 44% contraction. For models used to describe arteries it is found, somewhat surprisingly, that the strain-stiffening effect promotes instability. For example, the models used for the artery of a seventy-year old human predict that [delta]cr=0.73, allowing only for a 27% contraction. Tensile experiments conducted on pig skin indicate that bending instabilities should occur even earlier there.
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Publisher
Elsevier
Publisher DOI
10.1016/j.ijsolstr.2009.08.017
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Mathematics (Scholarly Articles)