Bending instabilities of soft biological tissues.(English)Zbl 1176.74068

Summary: 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 $$\lambda _{\text{cr}}$$ (say) before bifurcation occurs and axial creases appear. For several models used to describe rubber, it is found that $$\lambda _{\text{cr}}=0.56$$, 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 $$\lambda _{\text{cr}}=0.73$$, allowing only for a 27% contraction. Tensile experiments conducted on pig skin indicate that bending instabilities should occur even earlier there.

MSC:

 74G60 Bifurcation and buckling 74L15 Biomechanical solid mechanics 92C10 Biomechanics
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