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On the constrained elastic ring

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Abstract

The problem of a thin elastic ring contained within a smooth rigid cavity is considered for the case where the ring is subjected to a radial point load. The problem is approached as a moving intermediate boundary problem in the calculus of variation and a closed-form analytical solution is obtained. Numerical results are presented for several cases, revealing unstable behavior of the ring configuration.

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Authors and Affiliations

  1. Department of Mechanics and Materials Science, College of Engineering, Rutgers University, P.O. Box 909, 08855-0909, Piscataway, NJ, USA

    W. J. Bottega

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  1. W. J. Bottega
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Bottega, W.J. On the constrained elastic ring. J Eng Math 22, 43–51 (1988). https://doi.org/10.1007/BF00044364

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  • DOI: https://doi.org/10.1007/BF00044364

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