Stability analysis in extensible thermoelastic beam with microtemperatures
DOI10.1007/s00033-023-01979-xzbMath1514.35426OpenAlexW4364365668MaRDI QIDQ6102380
Publication date: 8 May 2023
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-023-01979-x
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability in context of PDEs (35B35) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) PDEs in connection with mechanics of deformable solids (35Q74) Higher-order nonlinear hyperbolic equations (35L75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long-time dynamics of an extensible plate equation with thermal memory
- Analyticity in porous-thermoelasticity with microtemperatures
- Exponential stability in thermoelasticity with microtemperatures
- Modeling and steady state analysis of the extensible thermoelastic beam
- A dynamic thermoviscoelastic contact problem with the second sound effect
- On the propagation of thermoelastic disturbances in thin plates and rods
- On thermoelastic bodies with inner structure and microtemperatures
- Global attractors for the extensible thermoelastic beam system
- Semigroups of linear operators and applications to partial differential equations
- Uniform stabilization of a nonlinear beam by nonlinear boundary feedback
- Memory relaxation of type III thermoelastic extensible beams and Berger plates
- Exponential stability in type III thermoelasticity with microtemperatures
- On the stabilization of linear porous elastic materials by microtemperature effect and porous damping
- Exponential stability for a thermoelastic porous system with microtemperatures effects
- Thermodynamics of a continuum with microstructure
- Analysis of dynamic nonlinear thermoviscoelastic beam problems
- Asymptotic behavior in nonlocal Mindlin's strain gradient thermoelasticity with voids and microtemperatures
- A nonlinear transmission problem for a compound plate with thermoelastic part
- Qualitative properties in strain gradient thermoelasticity with microtemperatures
- On the stability of linear porous elastic materials with microtemperatures effects and frictional damping
- Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III
- On the extensible viscoelastic beam
- Decay in full von Kármán beam with temperature and microtemperatures effects
- Analyticity of solutions to thermo‐elastic‐plastic flow problem with microtemperatures
