Stability for a boundary contact problem in thermoelastic Timoshenko's beam
DOI10.1007/s00033-020-01437-yzbMath1468.35199OpenAlexW3120653961MaRDI QIDQ2026429
C. A. da Costa Baldez, Jaime Edilberto Muñoz Rivera
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01437-y
thermoelasticityasymptotic behaviourcontact problemnumerical solutionsemilinear problemTimoshenko's beams
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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in solid mechanics (74S20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) PDEs in connection with classical thermodynamics and heat transfer (35Q79)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A contact problem for a thermoelastic Timoshenko beam
- Optimal polynomial decay of functions and operator semigroups
- Functional analysis, Sobolev spaces and partial differential equations
- Petrov-Galerkin formulations of the Timoshenko beam problem
- Discretization by finite elements of a model parameter dependent problem
- Exponential stability to a contact problem of partially viscoelastic materials
- On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle
- Stability to 1-D thermoelastic Timoshenko beam acting on shear force
- Stability to weakly dissipative Timoshenko systems
- A one-dimensional quasi-static contact problem in linear thermoelasticity
- Vibrations of a beam between obstacles. Convergence of a fully discretized approximation
- On the Spectrum of C 0 -Semigroups
- Reduced integration and the shear-flexible beam element
- A simple and efficient finite element for plate bending
- Exponential stability of the semigroup associated with a thermoelastic system