Analysis of a contact problem for a viscoelastic Bresse system

DOI10.1051/m2an/2021015zbMath1490.65191OpenAlexW3138308127MaRDI QIDQ5154005

Wael Youssef, José R. Fernández, Toufic El Arwadi, Maria Grazia Naso, Maria Inês M. Copetti

Publication date: 1 October 2021

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2021015

zbMATH Keywords

finite element discretizationcontact problemexponential decayBresse beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical linear elasticity (74B05) Contact in solid mechanics (74M15) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (6)

Global existence and asymptotic behavior for a semilinear Bresse beam model with boundary constraints ⋮ Bresse-Timoshenko type systems with thermodiffusion effects: well-possedness, stability and numerical results ⋮ Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach ⋮ Existence and energy decay of a Bresse system with thermoelasticity of type III ⋮ Stabilization of Timoshenko-Ehrenfest type systems ⋮ A finite element scheme for a 2D-wave equation with dynamical boundary control

Cites Work

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• A contact problem for a thermoelastic Timoshenko beam
• Stability to weak dissipative Bresse system
• A dynamic thermoviscoelastic contact problem with the second sound effect
• Global existence and exponential stability for a contact problem between two thermoelastic beams
• Energy decay rate of the thermoelastic Bresse system
• The boundary integral approach to static and dynamic contact problems: equality and inequality methods
• The thermoelastic and viscoelastic contact of two rods
• On the range of applicability of the Reissner--Mindlin and Kirchhoff--Love plate bending models
• 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
• Numerical exponential decay to dissipative Bresse system
• On the stabilization of the Bresse beam with Kelvin-Voigt damping
• Comparison of linear beam theories
• Numerical approximation and error control for a thermoelastic contact problem
• Rates of decay to weak thermoelastic Bresse system
• Unilateral dynamic contact of two viscoelastic beams
• A one-dimensional dynamic contact problem in linear viscoelasticity
• Applications of unilateral multibody dynamics
• Dynamic vibrations of a damageable viscoelastic beam in contact with two stops
• Stability and optimality of decay rate for a weakly dissipative Bresse system
• Exponential and polynomial stability of an elastic Bresse system with two locally distributed feedbacks
• A contact problem in thermoviscoelastic diffusion theory with second sound
• Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle
• Variational and numerical analysis of a quasistatic viscoelastic problem with normal compliance, friction and damage
• The contact problem in thermoviscoelastic materials

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