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A bifurcation problem for a compressible nonlinearly elastic medium: growth of a micro-void

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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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Author notes

  1. R. Abeyaratne

    Present address: Department of Mechanical Engineering, Massachusetts Institute of Technology, 02139, Cambridge, MA, USA

Authors and Affiliations

  1. College of Engineering, Michigan State University, 48824-1226, East Lansing, MI, USA

    C. O. Horgan & R. Abeyaratne

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  1. C. O. Horgan
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  2. R. Abeyaratne
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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

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