A quasi-static Signorini contact problem for a thermoviscoelastic beam

DOI10.1007/s00211-008-0158-6zbMath1141.74038OpenAlexW2045390788MaRDI QIDQ938279

Maria Inês M. Copetti

Publication date: 18 August 2008

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-008-0158-6

zbMATH Keywords

existenceuniquenessfinite element approximation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Contact in solid mechanics (74M15) Finite element methods applied to problems in solid mechanics (74S05) Thermal effects in solid mechanics (74F05) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (6)

Discretization of a nonlinear dynamic thermoviscoelastic Timoshenko beam model ⋮ Numerical analysis of a contact problem between two thermoviscoelastic beams ⋮ Dynamic vibrations of a damageable viscoelastic beam in contact with two stops ⋮ Numerical analysis of a quasi-static contact problem for a thermoviscoelastic beam ⋮ Numerical solution of a two-dimensional hyperbolic transmission problem ⋮ Finite element approximation to a contact problem for a nonlinear thermoviscoelastic beam

Cites Work

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• Boundary control of a linear thermoelastic beam
• Vibrations of a beam between stops: Numerical simulations and comparison of several numerical schemes
• A thermoviscoelastic beam with a tip body
• A note on the equations of a thermoelastic plate
• Models and simulations of dynamic frictional contact of a beam
• Existence for a thermoviscoelastic beam model of brakes
• Dynamic frictional contact of a viscoelastic beam
• Numerical Solution of a Thermoviscoelastic Contact Problem by a Penalty Method

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