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A Signorini problem in elasticity with prescribed contact set

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Publication:1058894
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DOI10.1007/BF01442205zbMath0565.73099MaRDI QIDQ1058894

Piero Villaggio

Publication date: 1985

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)


zbMATH Keywords

three-dimensional elasticitySignorini problemunilateral problemrigid planecompressive load perpendicular to the supporting planecontact with its basedistributions of surface tractionselastic half-spherehalf-sphere makes contact along only half of its basehomogeneous solutions of equilibrium equationsloaded by tractionsrule of the middle thirdsemi inverse problemspherical portion of the surfacestatically equivalentSuperposing certain classical solutionssupported, without friction


Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Stress concentrations, singularities in solid mechanics (74G70) Theories of friction (tribology) (74A55)


Related Items (1)

Piero Villaggio: representative of the Italian tradition of honored elasticians



Cites Work

  • State of stress at the vertex of a quarter-infinite crack in a half- space
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