Abstract
In this paper, we carry out an explicit analysis of a bifurcation problem for a solid circular cylinder composed of a particularcompressible 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 apre-existing micro-void.
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Horgan, C.O., Abeyaratne, R. A bifurcation problem for a compressible nonlinearly elastic medium: growth of a micro-void. J Elasticity 16, 189–200 (1986). https://doi.org/10.1007/BF00043585
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DOI: https://doi.org/10.1007/BF00043585