Derivation of the variational inequalities and extremum principles of the frictionless elastic contact problem

DOI10.1016/0045-7825(85)90004-0zbMath0557.73097OpenAlexW2015210736MaRDI QIDQ761872

Hans Bufler

Publication date: 1985

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(85)90004-0

zbMATH Keywords

small deformationsvirtual forcearbitrary shapescomplementary variational principlesintegrals over the contact surfacesintegrals over the volumeslarge contact regionmixed principle of virtual work and a saddle-type functionalprinciples of virtual displacementsstatical and kinematical conditionssufficiently smooth

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Theories of friction (tribology) (74A55)

Related Items

Boundary variational formulations and numerical solution techniques for unilateral contact problems ⋮ Multivalued boundary integral equations for inequality problems. The convex case ⋮ An analysis of wear processes of materials based on variational methods ⋮ Crack-interfaces of fractal type with friction ⋮ Constitutive equations for anisotropic wear ⋮ On large deformation unilateral contact problem with friction. I: Incremental variational equations ⋮ The boundary integral equation method for inequality problems

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