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On the eversion of incompressible elastic cylinders. (English) Zbl 0820.73033
Summary: The eversion of incompressible isotropic elastic cylinders is considered. The main problem is formulated as a bifurcation problem with the undeformed thickness ratio as a parameter. Numerical results are presented for several different material models and, in all cases, we find that there is a critical thickness for the tube. Thinner tubes can be everted to a cylindrical shape, thicker tubes will undergo a bifurcation upon eversion and so the cylindrical shape will not be attained. We find that the length to radius ratio of the tube only plays a significant role for one particular bifurcation mode.

MSC:
74G60 Bifurcation and buckling
74K15 Membranes
74B20 Nonlinear elasticity
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