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Cavitated bifurcation for incompressible hyperelastic material. (English) Zbl 1042.74018

Summary: We study the spherical cavitated bifurcation or a hyperelastic solid sphere made of the incompressible Valanis-Landel material under boundary dead loading. The analytic solution for the bifurcation problem is obtained. The catastrophe and concentration of stresses are discussed. The stability of solutions is verified through the energy comparison. We also observe the growth of a pre-existing micro-void.

MSC:

74G60 Bifurcation and buckling
74B20 Nonlinear elasticity
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