An evolutionary mixed variational problem arising from frictional contact mechanics

DOI10.1177/1081286512462168zbMath1302.74118OpenAlexW2332542327MaRDI QIDQ2875327

Andaluzia Matei

Publication date: 14 August 2014

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286512462168

zbMATH Keywords

fixed pointweak solutionsHilbert spacesviscoelasticitysaddle pointbilinear formCauchy-Schwarz inequalitydual Lagrange multiplierscontinuous dependence on the datashort memoryfrictional contact problemsevolutionary mixed variational problemfriction bound dependent setinf sup propertyintermediate problem

Mathematics Subject Classification ID

Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Linear constitutive equations for materials with memory (74D05) Regularity of solutions of equilibrium problems in solid mechanics (74G40)

Related Items (7)

A mixed variational formulation for a class of contact problems in viscoelasticity ⋮ A class of generalized mixed variational-hemivariational inequalities. I: Existence and uniqueness results ⋮ A mixed variational problem with applications in contact mechanics ⋮ A mixed variational formulation of a contact problem with wear ⋮ History-dependent mixed variational problems in contact mechanics ⋮ An existence result for a mixed variational problem arising from contact mechanics ⋮ Well-posedness of a class of generalized mixed hemivariational-variational inequalities

Cites Work

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• Models and analysis of quasistatic contact. Variational methods
• A stabilized Lagrange multiplier method for the finite element approximation of contact problems in elastostatics
• Weak solutions for contact problems involving viscoelastic materials with long memory
• A stabilized Lagrange multiplier method for the enriched finite-element approximation of contact problems of cracked elastic bodies
• Mathematical Models in Contact Mechanics
• Efficient Algorithms for Problems with Friction
• An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems

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