Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage

DOI10.4171/ZAA/1538zbMath1325.47144WikidataQ112251743 ScholiaQ112251743MaRDI QIDQ496874

Meir Shillor, Anna Ochal, Leszek Gasiński

Publication date: 22 September 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

damagevariational-hemivariational inequalitynormal compliancenonlinear viscoelastic materialquasistatic contactsubdifferential friction condition

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Applications of operator theory in the physical sciences (47N50) Nonlinear constitutive equations for materials with memory (74D10) Nonlinear modes (70K75) Variational and other types of inclusions (47J22)

Related Items (10)

Multivalued nonmonotone dynamic boundary condition ⋮ On dynamic contact problem with generalized Coulomb friction, normal compliance and damage ⋮ Existence and convergence results for an elastic frictional contact problem with nonmonotone subdifferential boundary conditions ⋮ Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage ⋮ Numerical treatment of contact problems with thermal effect ⋮ A frictional contact problem with wear diffusion ⋮ On quasi-static contact problem with generalized Coulomb friction, normal compliance and damage ⋮ A new class of differential nonlinear system involving parabolic variational and history-dependent hemi-variational inequalities arising in contact mechanics ⋮ Sensitivity analysis of optimal control problems driven by dynamic history-dependent variational-hemivariational inequalities ⋮ A new class of differential quasivariational inequalities with an application to a quasistatic viscoelastic frictional contact problem

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