Gaseous diffusion in a stressed-thermoelastic solid. Part I: The thermomechanical formulation

DOI10.1007/BF01208785zbMath0391.76069MaRDI QIDQ1251562

Elias C. Aifantis, William W. Gerberich

Publication date: 1977

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

EquipresencePhenomenological TheoryBalance Equations of Mass Linear Angular Momentum Internal EnergyContinuUm PhysicsDilute SolutionEntropy Production InequalityGaseous DiffusionLinear Irreversible ThermodynamicsMaterial ObjectivityStressed-Thermoelastic SolidThermomechanical

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermodynamics in solid mechanics (74A15) Gas dynamics (general theory) (76N15) Diffusion and convection (76R99)

Related Items (8)

Accounting for differential swelling in the multi-physics modelling of the diffusive behaviour of polymers ⋮ Comments on the diffusion of a gas in a linear elastic solid ⋮ On the problem of diffusion in solids ⋮ Modeling of structural mechanics, moisture diffusion, and heat conduction coupled with physical aging in thin plastic plates ⋮ On the uncoupled problem of stress-assisted diffusion through a linear elastic solid ⋮ Gaseous diffusion in a stressed-thermoelastic solid. II: Thermodynamic structure and transport theory ⋮ On the theory of stress-assisted diffusion. I ⋮ On the theory of stress-assisted diffusion. II

Cites Work

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• A mathematical theory of the mechanical behavior of continuous media
• The thermodynamics of elastic materials with heat conduction and viscosity
• Diffusion of a perfect fluid in a linear elastic stress field
• A thermodynamic theory of mixtures of fluids
• Diffusion in mixtures of elastic materials
• A thermomechanical theory of diffusion in solid-fluid mixtures
• A new definition of a fluid. II. The Maxwellian fluid
• A Continuum Theory of Fluid Saturated Porous Media

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