Global existence and exponential stability for a contact problem between two thermoelastic beams

DOI10.1016/j.jmaa.2008.04.003zbMath1146.35317OpenAlexW2045151556MaRDI QIDQ930991

Giovanna Bonfanti, Maria Grazia Naso, Jaime Edilberto Muñoz Rivera

Publication date: 24 June 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.003

zbMATH Keywords

contactpenalization methodSignorini condition

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Thermal effects in solid mechanics (74F05) Unilateral problems for linear hyperbolic equations and variational inequalities with linear hyperbolic operators (35L85)

Related Items

Analysis of dynamic nonlinear thermoviscoelastic beam problems, Exponential stability and numerical analysis of a thermoelastic diffusion beam with rotational inertia and second sound, The hybrid-penalized method for the Timoshenko's beam, Global existence and asymptotic behavior for a semilinear Bresse beam model with boundary constraints, A contact problem of a thermoelastic rod with voids and microtemperatures, Existence of solution and uniform decay for a contact problem in laminated beam, A dynamic contact problem for a thermoelastic diffusion beam with the rotational inertia, Numerical analysis of a contact problem between two thermoviscoelastic beams, A contact problem for a thermoelastic Timoshenko beam, Analysis of a contact problem for a viscoelastic Bresse system, A dynamic thermoviscoelastic contact problem with the second sound effect, Unilateral dynamic contact of two viscoelastic beams

Cites Work

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• Compact sets in the space \(L^ p(0,T;B)\)
• The thermoelastic and viscoelastic contact of two rods
• Finite element approximation to a quasi-static thermoelastic problem to the contact of two rods
• On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle
• Transient elastodynamics around cracks including contact and friction
• Global existence and decay for the semilinear thermoelastic contact problem
• Uniqueness and stability of the solution to a thermoelastic contact problem
• A dynamic contact problem in thermoelasticity
• Exponential stability for a contact problem in thermoelasticity
• Quasistatic viscoelastic contact with friction and wear diffusion
• Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
• Unilateral dynamic contact of two beams
• The contact problem in thermoviscoelastic materials