Weak solutions for contact problems involving viscoelastic materials with long memory

DOI10.1177/1081286511400515zbMath1269.74177OpenAlexW2171489343MaRDI QIDQ2842404

Andaluzia Matei, Raluca Ciurcea

Publication date: 14 August 2013

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286511400515

zbMATH Keywords

weak solutionfrictional contactlong memorydual Lagrange multipliersviscoelastic constitutive lawTresca's law

Mathematics Subject Classification ID

Contact in solid mechanics (74M15) Linear constitutive equations for materials with memory (74D05) Existence of solutions of dynamical problems in solid mechanics (74H20)

Related Items (7)

A mixed variational problem with applications in contact mechanics ⋮ A mixed variational formulation of a contact problem with wear ⋮ History-dependent mixed variational problems in contact mechanics ⋮ Convergence and optimization results for a history-dependent variational problem ⋮ An existence result for a mixed variational problem arising from contact mechanics ⋮ On the relationship between alternative variational formulations of a frictional contact model ⋮ An evolutionary mixed variational problem arising from frictional contact mechanics

Cites Work

• Unnamed Item
• Unnamed Item
• Superposition of generalized plane strain on anti-plane shear deformations in isotropic incompressible hyperelastic materials
• Weak solutions for antiplane models involving elastic materials with degeneracies
• Models and analysis of quasistatic contact. Variational methods
• CONTACT PROBLEMS FOR NONLINEARLY ELASTIC MATERIALS: WEAK SOLVABILITY INVOLVING DUAL LAGRANGE MULTIPLIERS
• Antiplane Shear Deformations for Homogeneous and Inhomogeneous Anisotropic Linearly Elastic Solids
• A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier
• Anti-Plane Shear Deformations in Linear and Nonlinear Solid Mechanics
• Efficient Algorithms for Problems with Friction
• Computational Contact Mechanics
• An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems
• Discretization methods and iterative solvers based on domain decomposition

This page was built for publication: Weak solutions for contact problems involving viscoelastic materials with long memory