The Lagrange identity method in linear thermoelasticity

DOI10.1016/0020-7225(87)90126-1zbMath0617.73007OpenAlexW2140037348MaRDI QIDQ1822541

Stan Chiriţă, Salvatore Rionero

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90126-1

zbMATH Keywords

boundedweight function methodcontinuous dependence of solutionsinitial boundary problemsLagrange identity methodlinear theory of thermoelasticityhalf-unbounded regions

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30)

Related Items (27)

The mixed problem in the theory of strain gradient thermoelasticity approached with the Lagrange identity ⋮ Uniqueness theorems about high-order time differential thermoelastic models ⋮ Hölder stability in type III thermoelastodynamics ⋮ Cesaro means in thermoelasticity of dipolar bodies ⋮ An initial boundary value problem for modeling a piezoelectric dipolar body ⋮ Full weak uniqueness in anisotropic time-dependent Mindlin theory for plates ⋮ The Lagrange identity method in thermoelasticity of bodies with microstructure ⋮ Some Results on Thermoelasticity for Dielectric Materials with Voids ⋮ On the final boundary value problems in linear thermoelasticity ⋮ Some Results on Thermoelasticity for Dielectric Materials with Voids ⋮ New reciprocal and continuous dependence theorems in linear theory of viscoelasticity ⋮ On the dynamical theory of thermoelastic simple shells ⋮ Spatial behavior for some non-standard problems in linear thermoelasticity without energy dissipation ⋮ A variational approach for the mixed problem in the elastostatics of bodies with dipolar structure ⋮ Thermoelasticity of initially stressed bodies, asymptotic equipartition of energies ⋮ On the uniqueness and continuous data dependence of solutions in the theory of swelling porous thermoelastic soils ⋮ A mathematical study of the linear theory for orthotropic elastic simple shells ⋮ Energy bounds for some non-standard problems in thermoelasticity ⋮ On the time differential dual-phase-lag thermoelastic model ⋮ A theory of thermoelastic diffusion materials with voids ⋮ A partition of energy in thermoelasticity of microstretch bodies ⋮ On some theorems in the theory of micropolar thermoelasticity ⋮ Some theorems in the generalized theory of thermo-magnetoelectroelasticity under Green-Lindsay's model ⋮ Aspects of Uniqueness in Micropolar Piezoelectric Bodies ⋮ On the quasi-static approximation in the initial boundary value problem of linearised elastodynamics ⋮ The coupled theory of micropolar thermoelastic diffusion ⋮ On uniqueness and reciprocity in linear thermoelasticity of materials with voids

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Local estimates and stability of viscous flows in an exterior domain
• Continuous dependence theorems in linear elasticity on exterior domains
• On uniqueness and continuous dependence in dynamical problems of linear thermoelasticity
• Uniqueness and continuous dependence in the linear elastodynamic exterior and half-space problems
• Hölder continuous dependence in nonlinear elastodynamics
• Continuous Dependence and Instability in Linear Thermoelasticity
• Some uniqueness and continuous dependence theorems for nonlinear elastodynamics in exterior domains
• Existence Theorems in Linear and Semi-Linear Elasticity
• Continuous data dependence in linear elastodynamics on unbounded domains without definiteness conditions on the elasticities
• Some Exact Solutions to the Equations of Nonlinear Thermoelasticity

This page was built for publication: The Lagrange identity method in linear thermoelasticity