On the existence and uniqueness of steady state solutions in thermoelastic contact with frictional heating

DOI10.1098/rspa.2004.1398zbMath1145.74389OpenAlexW2122705919WikidataQ58878515 ScholiaQ58878515MaRDI QIDQ5422932

Anders Klarbring, J. R. Barber, Michele Ciavarella, Lars-Erik Andersson

Publication date: 30 October 2007

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2004.1398

zbMATH Keywords

existenceuniquenesslinear thermoelasticityunilateral contactthermal contactFrictional heating

Mathematics Subject Classification ID

Related Items (7)

Finite element approximation and numerical analysis of thermoelectroelastic frictional contact problem with frictional heating ⋮ Variational and numerical analysis of a quasistatic thermo‐electro‐visco‐elastic frictional contact problem ⋮ Variational and numerical analysis of a static thermo-electro-elastic problem with friction ⋮ Plane contact problems with frictional heating for a vertically layered half-space ⋮ Instability of thermoelastic contact for two half-planes sliding out-of-plane with contact resistance and frictional heating ⋮ OPTIMIZATION PROBLEMS FOR A THERMOELASTIC FRICTIONAL CONTACT PROBLEM ⋮ Analysis of a quasi-variational contact problem arising in thermoelasticity

Cites Work

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• Contact problems involving a cooled punch
• Quasi-static thermoviscoelastic contact problem with slip dependent friction coefficient.
• Interaction of thermal contact resistance and frictional heating in thermoelastic instability.
• Frictional wear of a thermoelastic beam
• Thermoelastic contact with Barber's heat exchange condition
• Thermoelastic frictional contact problems: Modelling, finite element approximation and numerical realization
• Contact Mechanics
• EXISTENCE OF SOLUTIONS TO A THERMO-VISCOELASTIC CONTACT PROBLEM WITH COULOMB FRICTION
• Thermal and wear analysis of an elastic beam in sliding contact

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