A differential variational inequality in the study of contact problems with wear

DOI10.1016/j.nonrwa.2022.103619zbMath1491.74075OpenAlexW4224994351MaRDI QIDQ2147508

Yanyan Li

Publication date: 20 June 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2022.103619

zbMATH Keywords

monotonicityoptimal controlexistenceuniquenesslower semicontinuityreflexive Banach spacecompactnessconvex analysismoving viscoelastic foundation

Mathematics Subject Classification ID

Variational inequalities (49J40) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Existence theories for optimal control problems involving partial differential equations (49J20) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

A general differential quasi variational-hemivariational inequality: well-posedness and application ⋮ Solving quasimonotone and non-monotone variational inequalities ⋮ A generalized penalty method for a new class of differential inequality system ⋮ A new system of differential quasi-hemivariational inequalities in contact mechanics

Cites Work

• Unnamed Item
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• A class of impulsive differential variational inequalities in finite dimensional spaces
• On a new class of differential variational inequalities and a stability result
• Variational inequalities and frictional contact problems
• Complete damage in elastic and viscoelastic media and its energetics
• History-dependent differential variational-hemivariational inequalities with applications to contact mechanics
• A quasilinear differential inclusion for viscous and rate-independent damage systems in non-smooth domains
• A dynamic thermoviscoelastic contact problem with friction and wear
• Derivation and analysis of a generalized standard model for contact, friction and wear
• Frictional wear of a thermoelastic beam
• Rate-independent systems. Theory and application
• Differential variational inequalities in infinite Banach spaces
• A frictional contact problem with wear diffusion
• Differential variational inequalities
• Analysis of a contact problem with wear and unilateral constraint
• Mathematical Models in Contact Mechanics
• Differential quasivariational inequalities in contact mechanics
• Dynamic Contact with Normal Compliance Wear and Discontinuous Friction Coefficient
• Quasistatic viscoelastic contact with friction and wear diffusion
• A class of history-dependent differential variational inequalities with application to contact problems
• Thermal and wear analysis of an elastic beam in sliding contact

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