Explicit solutions of boundary-value problems of thermoelasticity with microtemperatures for a half-space

DOI10.1007/S10958-016-2911-1zbMath1351.35213OpenAlexW2418364354MaRDI QIDQ308437

K. Skhvitaridze, D. Burchuladze, Levan Giorgashvili

Publication date: 6 September 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-016-2911-1

zbMATH Keywords

linear thermoelasticityuniqueness theorems

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• Reflection of plane waves from the flat boundary of a micropolar generalized thermoelastic half-space
• Exponential stability in thermoelasticity with microtemperatures
• Thermoelasticity of bodies with microstructure and microtemperatures
• Plane problem in a micropolar thermoelastic half-space with stretch
• A half-space problem in the theory of generalized thermoelastic diffusion
• Explicit solutions of the boundary value problems of the theory of consolidation with double porosity for the half-plane
• The solution of elasticity problems for the half-space by the method of Green and Collins
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