On a contact problem for elastic-viscoplastic bodies

DOI10.1016/S0362-546X(96)00096-XzbMath0918.73098MaRDI QIDQ4354583

Mircea Sofonea

Publication date: 19 August 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

stabilityexistenceuniquenessfrictionless unilateral contactsmall deformationsfixed point methodquasistatic conditionscontinuous dependence of solution on input datadisplacement and strain fieldspenalized formulation with friction

Mathematics Subject Classification ID

Variational inequalities (49J40) Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Contact in solid mechanics (74M15) Elastic materials (74B99) Theories of friction (tribology) (74A55)

Related Items (16)

On the signorini frictionless contact problem for linear viscoelastic materials ⋮ Modeling of nonlinear viscoelastic-viscoplastic frictional contact problems ⋮ A numerical algorithm for a Signorini problem associated with Maxwell-Norton materials by using generalized Newton's methods ⋮ A mixed variational formulation for a class of contact problems in viscoelasticity ⋮ A quasistatic contact problem for an elastoplastic rod ⋮ The study of the dynamic contact in ultrasonic motor ⋮ Variational and numerical analysis of a dynamic frictionless contact problem with adhesion ⋮ A convergence result in elastic-viscoplastic contact problems with damage. ⋮ Variational and numerical analysis of a quasistatic viscoelastic contact problem with adhesion. ⋮ A numerical method for simulation of thermal stresses during casting of aluminium slabs ⋮ A quasistatic viscoelastic contact problem with friction ⋮ Existence and uniqueness results for a class of dynamic elasto-plastic contact problems ⋮ A frictionless contact problem for elastic-viscoplastic materials with internal state variables ⋮ NUMERICAL ANALYSIS OF A CONTACT PROBLEM IN RATE-TYPE VISCOPLASTICITY ⋮ Numerical analysis of a frictionless contact problem for elastic-viscoplastic materials ⋮ A frictionless contact problem for elastic-viscoplastic materials with normal compliance and damage.

Cites Work

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• Quasistatic processes for elastic-viscoplastic materials
• Contact between elastic bodies. I. Continuous problems
• Contact between elastic perfectly plastic bodies
• Evolution problems for a class of dissipative materials

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