A class of evolution variational inequalities with memory and its application to viscoelastic frictional contact problems

DOI10.1016/j.jmaa.2016.04.076zbMath1381.74158OpenAlexW2347000239MaRDI QIDQ294121

Justyna Ogorzały, Stanislaw Migórski

Publication date: 9 June 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.076

zbMATH Keywords

existencefrictional contactvariational inequalitysubdifferentialviscoelastic materialhistory-dependent operator

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Optimization of other properties in solid mechanics (74P10) Nonlinear constitutive equations for materials with memory (74D10) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

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Dynamic history-dependent variational-hemivariational inequalities with applications to contact mechanics ⋮ Fully history-dependent evolution hemivariational inequalities with constraints ⋮ Optimal control of history-dependent evolution inclusions with applications to frictional contact ⋮ Optimal Control of a Quasistatic Frictional Contact Problem with History-Dependent Operators ⋮ A unilateral constraint contact problem for viscoelastic materials with wear ⋮ Differential history-dependent variational-hemivariational inequality with application to a dynamic contact problem ⋮ Error estimate for quasistatic history-dependent contact model ⋮ Well-posedness of history-dependent evolution inclusions with applications ⋮ Noncoercive hyperbolic variational inequalities with applications to contact mechanics ⋮ Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics ⋮ On the differential variational inequalities of parabolic-parabolic type

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