Duality arguments in the analysis of a viscoelastic contact problem

DOI10.1016/j.cnsns.2023.107581arXiv2309.04356OpenAlexW4387794449MaRDI QIDQ6144070

Anna Ochal, Mircea Sofonea, Piotr Bartman

Publication date: 5 January 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2309.04356

zbMATH Keywords

weak solutionfrictionless contactviscoelastic materialnumerical simulationshistory-dependent variational inequalityhistory-dependent inclusion

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Evolution inclusions (34G25) Existence theories for optimal control problems involving relations other than differential equations (49J21) Variational and other types of inclusions (47J22)

Cites Work

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• Variational inequalities and frictional contact problems
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Time-dependent inclusions and sweeping processes in contact mechanics
• A survey of numerical methods for hemivariational inequalities with applications to contact mechanics
• On inclusions with multivalued operators and their applications to some optimization problems
• Équations et inéquations non linéaires dans les espaces vectoriels en dualité
• Lectures on viscoelasticity theory
• An Implicit Sweeping Process Approach to Quasistatic Evolution Variational Inequalities
• Sweeping Process Arguments in the Analysis and Control of a Contact Problem
• A nonsmooth optimization approach for time-dependent hemivariational inequalities

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