Thermoelasticity without energy dissipation of materials with microstructure

DOI10.1016/S0307-904X(02)00078-1zbMath1029.74013OpenAlexW1993810022MaRDI QIDQ1861712

Ramón Quintanilla

Publication date: 10 March 2003

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(02)00078-1

zbMATH Keywords

existenceuniquenesslinear theorythermoelasticityenergy dissipationaffine microstructure

Mathematics Subject Classification ID

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

Related Items (9)

A thermodynamically consistent formulation of generalized thermoelasticity at finite deformations ⋮ Propagation of waves in the transversely isotropic thermoelastic Green-Naghdi type II and type III medium ⋮ Uniqueness and existence theorems in thermoelasticity with voids without energy dissipation ⋮ Global existence for the three-dimensional thermoelastic equations of Type II ⋮ Transient magneto-thermoviscoelastic plane waves in a non-homogeneous anisotropic thick strip subjected to a moving heat source ⋮ Time-harmonic sources in a generalized magneto-thermo-viscoelastic continuum with and without energy dissipation ⋮ Finite element simulation of a gradient elastic half-space subjected to thermal shock on the boundary ⋮ Thermomechanical interactions in transversely isotropic magnetothermoelastic medium with vacuum and with and without energy dissipation with combined effects of rotation, vacuum and two temperatures ⋮ On thermoelastic bodies with inner structure and microtemperatures

Cites Work

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• On the incremental problem in thermoelasticity with microstructure
• Thermoelasticity without energy dissipation
• Recent bibliography on extended irreversible thermodynamics and related topics (1992-1995)
• Multipolar continuum mechanics
• Micro-structure in linear elasticity
• Growth and uniqueness in thermoelasticity
• A re-examination of the basic postulates of thermomechanics
• Thermoelasticity with Second Sound: A Review
• A unified procedure for construction of theories of deformable media. I. Classical continuum physics

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