Thermal stresses that depend on temperature gradients

DOI10.1007/s00033-023-02034-5zbMath1524.74020OpenAlexW4381740048MaRDI QIDQ6116119

Dorin Ieşan

Publication date: 17 July 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/s00033-023-02034-5

zbMATH Keywords

uniquenessthermoviscoelasticitycontinuous dependence of solutionsnon-simple materialsboundary-initial-value problemssecond temperature gradient

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Nonsimple materials (74A30) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) Theory of constitutive functions in solid mechanics (74A20)

Cites Work

• Unnamed Item
• Hypertemperature in thermoelastic solids
• The second law of thermodynamics and stability
• Thermoelasticity without energy dissipation
• On a mixture of an MGT viscous material and an elastic solid
• Theories of elasticity with couple-stress
• Multipolar continuum mechanics
• Theoretical and computational aspects of non-classical thermoelasticity
• Micro-structure in linear elasticity
• A re-examination of the basic postulates of thermomechanics
• Thermoelasticity without energy dissipation of nonsimple materials
• Microcontinuum Field Theories
• Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III
• On a theory of thermoelasticity without energy dissipation for solids with microtemperatures