Differential quasivariational inequalities in contact mechanics

DOI10.1177/1081286518755563zbMath1439.74225OpenAlexW2793959380MaRDI QIDQ3300741

Mircea Sofonea, Zhen-Hai Liu

Publication date: 29 July 2020

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

Full work available at URL: https://doi.org/10.1177/1081286518755563

zbMATH Keywords

weak solutionfixed pointcontact problemwearnormal complianceunilateral constraintdifferential quasivariational inequality

Mathematics Subject Classification ID

Variational inequalities (49J40) Contact in solid mechanics (74M15) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (15)

History-dependent differential variational-hemivariational inequalities with applications to contact mechanics ⋮ Order-preservation properties of resolvent operators and their applications to variational inequalities ⋮ A differential variational inequality in the study of contact problems with wear ⋮ A generalized penalty method for differential variational-hemivariational inequalities ⋮ Caputo fractional differential variational-hemivariational inequalities involving history-dependent operators: global error bounds and convergence ⋮ A general differential quasi variational-hemivariational inequality: well-posedness and application ⋮ Optimal control of differential quasivariational inequalities with applications in contact mechanics ⋮ Unnamed Item ⋮ Existence results of partial differential mixed variational inequalities without Lipschitz continuity ⋮ A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics ⋮ Rothe method and numerical analysis for a new class of fractional differential hemivariational inequality with an application ⋮ A class of history-dependent differential variational inequalities with application to contact problems ⋮ Penalty method for a class of differential variational inequalities ⋮ A new class of differential quasivariational inequalities with an application to a quasistatic viscoelastic frictional contact problem ⋮ Optimal feedback control for a class of fractional evolution equations with history-dependent operators

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