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A Signorini problem in elasticity with prescribed contact set

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Abstract

The following unilateral problem is considered. An elastic half-sphere is supported, without friction, by a rigid plane in possible contact with its base. The spherical portion of the surface is loaded by tractions statically equivalent to a compressive load perpendicular to the supporting plane.

Superposing certain classical solutions of three-dimensional elasticity, it is possible to determine all such distributions of surface tractions for which the half-sphere makes contact along only half of its base.

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Authors and Affiliations

  1. Istituto di Scienza delle Costruzioni dell'Università di Pisa, 56100, Pisa, Italy

    Piero Villaggio

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  1. Piero Villaggio
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Communicated by D. Kinderlehrer

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Villaggio, P. A Signorini problem in elasticity with prescribed contact set. Appl Math Optim 13, 163–174 (1985). https://doi.org/10.1007/BF01442205

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  • DOI: https://doi.org/10.1007/BF01442205

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