A fixed point result with applications in the study of viscoplastic frictionless contact problems

DOI10.3934/cpaa.2008.7.645zbMath1171.47047OpenAlexW1980930024MaRDI QIDQ928318

Mircea Sofonea, Cezar Avramescu, Andaluzia Matei

Publication date: 18 June 2008

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2008.7.645

zbMATH Keywords

fixed point theorycontactviscoplasticity

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Contact in solid mechanics (74M15) Fixed-point theorems (47H10) Continuous and differentiable maps in nonlinear functional analysis (46T20) Miscellaneous applications of operator theory (47N99)

Related Items (32)

On dynamic contact problem with generalized Coulomb friction, normal compliance and damage ⋮ History-dependent differential variational-hemivariational inequalities with applications to contact mechanics ⋮ A priori error analysis of virtual element method for contact problem ⋮ Tykhonov well-posedness of fixed point problems in contact mechanics ⋮ Order-preservation properties of resolvent operators and their applications to variational inequalities ⋮ Analysis and approximation of one-dimensional scalar conservation laws with general point constraints on the flux ⋮ Boundary augmented Lagrangian method for contact problems in linear elasticity ⋮ On normal compliance quasistatic viscoplastic contact problem with friction, damage and foundation memory property ⋮ On quasi-static contact problem with generalized Coulomb friction, normal compliance and damage ⋮ A unilateral constraint contact problem for viscoelastic materials with wear ⋮ A mixed variational problem with applications in contact mechanics ⋮ Numerical analysis of history-dependent hemivariational inequalities and applications to viscoelastic contact problems with normal penetration ⋮ Unique solvability and exponential stability of differential hemivariational inequalities ⋮ Convergence results for primal and dual history-dependent quasivariational inequalities ⋮ History-dependent variational-hemivariational inequalities in contact mechanics ⋮ Differential quasivariational inequalities in contact mechanics ⋮ Variational-hemivariational approach to a quasistatic viscoelastic problem with normal compliance, friction and material damage ⋮ ANALYSIS OF A CONTACT PROBLEM WITH NORMAL COMPLIANCE, FINITE PENETRATION AND NONMONOTONE SLIP DEPENDENT FRICTION ⋮ A class of history-dependent variational-hemivariational inequalities ⋮ A mixed variational formulation of a contact problem with wear ⋮ Variational-hemivariational approach to quasistatic viscoplastic contact problem with normal compliance, unilateral constraint, memory term, friction and damage ⋮ Analysis and numerical solution of a piezoelectric frictional contact problem ⋮ History-dependent mixed variational problems in contact mechanics ⋮ Convergence and optimization results for a history-dependent variational problem ⋮ A self-adaptive projection method for contact problems with the BEM ⋮ A viscoplastic contact problem with normal compliance, unilateral constraint and memory term ⋮ History-dependent quasi-variational inequalities arising in contact mechanics ⋮ Numerical analysis of hemivariational inequalities in contact mechanics ⋮ Fully history-dependent quasivariational inequalities in contact mechanics ⋮ Analysis of a contact problem with wear and unilateral constraint ⋮ Boundary element and augmented Lagrangian methods for contact problem with Coulomb friction ⋮ A VISCOELASTIC CONTACT PROBLEM WITH ADHESION AND SURFACE MEMORY EFFECTS

This page was built for publication: A fixed point result with applications in the study of viscoplastic frictionless contact problems