A Signorini problem in elasticity with prescribed contact set
type: Item
instance of: scholarly article
title: A Signorini problem in elasticity with prescribed contact set
zbMATH Open document ID: 0565.73099
DOI: 10.1007/BF01442205
author: Piero Villaggio
published in: Applied Mathematics and Optimization
publication date: 1985-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74G70
zbMATH DE Number: 3902218
zbMATH Keywords: Signorini problem
zbMATH Keywords: semi inverse problem
zbMATH Keywords: homogeneous solutions of equilibrium equations
zbMATH Keywords: rule of the middle third
zbMATH Keywords: unilateral problem
zbMATH Keywords: elastic half-sphere
zbMATH Keywords: supported, without friction
zbMATH Keywords: rigid plane
zbMATH Keywords: contact with its base
zbMATH Keywords: spherical portion of the surface
zbMATH Keywords: loaded by tractions
zbMATH Keywords: statically equivalent
zbMATH Keywords: compressive load perpendicular to the supporting plane
zbMATH Keywords: Superposing certain classical solutions
zbMATH Keywords: three-dimensional elasticity
zbMATH Keywords: distributions of surface tractions
zbMATH Keywords: half-sphere makes contact along only half of its base
MaRDI profile type: Publication
cites work: Q5737239
cites work: State of stress at the vertex of a quarter-infinite crack in a half- space
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description: scientific article; zbMATH DE number 3902218