Analysis of a quasistatic viscoplastic problem involving Tresca friction law

DOI10.3934/dcds.1998.4.55zbMath0972.74050OpenAlexW1964999098MaRDI QIDQ1576762

Amina Amassad, Mircea Sofonea

Publication date: 16 August 2000

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.1998.4.55

zbMATH Keywords

convergenceexistenceuniquenessvariational formulationsfixed point theoremcontinuous dependence on datatime discretization methodpenalized problembilateral contact with rigid foundationelastic-viscoplastic bodyfriction yield limitSignorini's boundary conditionsviscous friction of Tresca type

Mathematics Subject Classification ID

Small-strain, rate-dependent theories of plasticity (including theories of viscoplasticity) (74C10) Friction in solid mechanics (74M10) Contact in solid mechanics (74M15) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (16)

Dynamic history-dependent variational-hemivariational inequalities with applications to contact mechanics ⋮ Optimal control of an elastic contact problem involving Tresca fraction law ⋮ Hyperbolic hemivariational inequalities for dynamic viscoelastic contact problems ⋮ Quasi-static thermoviscoelastic contact problem with slip dependent friction coefficient. ⋮ Analysis of a viscoelastic unilateral contact problem involving the Coulomb friction law ⋮ Numerical solution of the quasistatic contact problem with the Tresca friction in elastic-viscoplastic materials by the element-free Galerkin method ⋮ Numerical analysis of a frictional contact problem for viscoelastic materials with long-term memory ⋮ On abstract variational inequalities in viscoplasticity with frictional contact ⋮ A quasistatic viscoelastic contact problem with friction ⋮ Existence and uniqueness results for a class of dynamic elasto-plastic contact problems ⋮ Quasistatic frictional problems for elastic and viscoelastic materials. ⋮ Analysis of two frictional viscoplastic contact problems with damage ⋮ A unified approach to dynamic contact problems in viscoelasticity ⋮ Numerical analysis of a frictionless contact problem for elastic-viscoplastic materials ⋮ A quasistatic contact problem for an elastic perfectly plastic body with Tresca’s friction ⋮ A class of integro-differential variational inequalities with applications to viscoelastic contact

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