History-dependent differential variational-hemivariational inequalities with applications to contact mechanics

DOI10.3934/eect.2020044zbMath1455.35153OpenAlexW3013405129MaRDI QIDQ827672

Jen-Chih Yao, Zhen-Hai Liu, Sheng-Da Zeng, van Thien Nguyen

Publication date: 13 January 2021

Published in: Evolution Equations and Control Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/eect.2020044

zbMATH Keywords

well-posednesswearcompliancehistory-dependent operatordifferential variational-hemivariational inequality

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Variational and other types of inclusions (47J22) Unilateral problems for nonlinear hyperbolic equations and variational inequalities with nonlinear hyperbolic operators (35L86) Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators (35L87)

Related Items

A differential variational inequality in the study of contact problems with wear, Differential variational-hemivariational inequalities with application to contact mechanics, Periodic solutions to history-dependent differential hemivariational inequalities with applications, Analysis and simulation of an adhesive contact problem governed by fractional differential hemivariational inequalities with history-dependent operator, Optimal control problem of fractional evolution inclusions with Clarke subdifferential driven by quasi-hemivariational inequalities, A general differential quasi variational-hemivariational inequality: well-posedness and application, Penalty Method for a Class of Differential Hemivariational Inequalities with Application

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a new class of differential variational inequalities and a stability result
• Differential variational inequality approach to dynamic games with shared constraints
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• A fixed point result with applications in the study of viscoplastic frictionless contact problems
• Partial differential hemivariational inequalities
• A class of fractional differential hemivariational inequalities with application to contact problem
• On the well-posedness of differential mixed quasi-variational-inequalities
• Nonlinear evolutionary systems driven by mixed variational inequalities and its applications
• Hyperbolic hemivariational inequalities controlled by evolution equations with application to adhesive contact model
• A class of differential hemivariational inequalities in Banach spaces
• Partial differential variational inequalities involving nonlocal boundary conditions in Banach spaces
• Mixed variational inequalities driven by fractional evolutionary equations
• A class of generalized evolutionary problems driven by variational inequalities and fractional operators
• On two-parameter global bifurcation of periodic solutions to a class of differential variational inequalities
• Differential variational inequalities in infinite Banach spaces
• Differential variational inequalities
• Analysis of viscoelastic contact with normal compliance, friction and wear diffusion
• Analysis of a contact problem with wear and unilateral constraint
• Convergence of Regularized Time-Stepping Methods for Differential Variational Inequalities
• Differential quasivariational inequalities in contact mechanics
• Dynamic Contact with Normal Compliance Wear and Discontinuous Friction Coefficient
• Asymptotic behavior of solutions to a class of differential variational inequalities
• Evolutionary problems driven by variational inequalities