Spatial stability for the quasi-static problem in thermoelastic diffusion theory

DOI10.1007/S10440-008-9299-YzbMath1165.74014OpenAlexW2037290975MaRDI QIDQ1028013

Moncef Aouadi

Publication date: 30 June 2009

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9299-y

zbMATH Keywords

upper boundexponential decay

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Stability of dynamical problems in solid mechanics (74H55)

Related Items (6)

Boundary integral equation formulation for generalized thermoelastic diffusion -- analytical aspects ⋮ Analytical study of transient thermo-mechanical responses in a fractional order generalized thermoelastic diffusion spherical shell with variable thermal conductivity and diffusivity ⋮ A study of influence of diffusion inside a spherical shell under thermoelastic diffusion with relaxation times ⋮ Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory ⋮ Mechanodiffusion of multicomponent continuum under the action of unsteady volume perturbations ⋮ The coupled theory of micropolar thermoelastic diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The theory of generalized thermoelastic diffusion
• A Phragmèn-Lindelöf principle for the thermoelastic cylinder of variable crosssection
• On the spatial behaviour in dynamics of elastic mixtures
• Spatial stability for the quasi-static problem of thermoelasticity
• On the spatial behavior in the theory of swelling porous elastic soils
• Spatial decay estimates for solutions describing harmonic vibrations in the theory of swelling porous elastic soils
• Decay estimates and energy bounds for porous elastic cylinders
• Spatial estimates for dynamical problems in several elasticity theories
• Initial-boundary value problem for some coupled nonlinear parabolic system of partial differential equations appearing in thermodiffusion in solid body
• A problem for an infinite elastic body with a spherical cavity in the theory of generalized thermoelastic diffusion
• A half-space problem in the theory of generalized thermoelastic diffusion
• A generalized thermoelastic diffusion problem for an infinitely long solid cylinder
• Variable electrical and thermal conductivity in the theory of generalized thermoelastic diffusion
• End effects in thermoelasticity
• Growth and uniqueness in thermoelasticity
• Recent Developments Concerning Saint-Venant's Principle
• Damping of end effects in a thermoelastic theory

This page was built for publication: Spatial stability for the quasi-static problem in thermoelastic diffusion theory