Variational analysis and optimal control of dynamic unilateral contact models with friction

DOI10.1016/J.JMAA.2018.12.068zbMath1433.49012OpenAlexW2909329010WikidataQ128616794 ScholiaQ128616794MaRDI QIDQ2633324

Huidan Zeng, Jiangfeng Han

Publication date: 8 May 2019

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.2018.12.068

zbMATH Keywords

sensitivitystabilityvariational inequalitiesordinary differential operatorsmonotone operatorsnonlinear operators

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Optimization of other properties in solid mechanics (74P10) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

Optimal Control of a Quasistatic Frictional Contact Problem with History-Dependent Operators ⋮ A unilateral constraint contact problem for viscoelastic materials with wear ⋮ A kind of FM-BEM penalty function method for a 3D elastic frictional contact nonlinear system ⋮ A new class of fully history-dependent variational-hemivariational inequalities with application to contact mechanics ⋮ Optimal control of an evolutionary variational-hemivariational inequality model with new results in numerical analysis and control of the dynamic frictional contact problem ⋮ Nonlinear second-order impulsive differential problems with dependence on the derivative via variational structure ⋮ Continuous dependence and optimal control of a dynamic elastic-viscoplastic contact problem with non-monotone boundary conditions ⋮ On a new computational algorithm for impacts of elastic bodies.

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