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A bifurcation problem for a compressible nonlinearly elastic medium: Growth of a micro-void. (English) Zbl 0585.73017
Summary: In this paper, we carry out an explicit analysis of a bifurcation problem for a solid circular cylinder composed of a particular compressible nonlinearly elastic material. This problem is concerned with the bifurcation of a solid body into a configuration involving an internal cavity. A discussion of its physical interpretation is then carried out. In particular, it is shown that this model may be used to describe the nucleation of a void from a pre-existing micro-void.

MSC:
74B20 Nonlinear elasticity
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