The second law of thermodynamics for systems with approximate cycles

DOI10.1007/BF00250620zbMath0474.73002OpenAlexW2044279406MaRDI QIDQ1158976

David R. Owen, James Serrin, Bernard D. Coleman

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00250620

zbMATH Keywords

approximate cycleschess of materialsequivalence between second law and accumulation inequalitymaterials with gradually fading memory

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Foundations of thermodynamics and heat transfer (80A05)

Related Items (11)

The fundamental property of a perfect gas and the second law of thermodynamics ⋮ On electromagnetic potentials for some models of magnetic hysteresis ⋮ Thermodynamic restrictions on constitutive equations for second-deformation-gradient inelastic behavior ⋮ The homogeneous field approximation of classical thermodynamics ⋮ A survey of entropy methods for partial differential equations ⋮ The scientific work of Bernard D. Coleman ⋮ The physics and mathematics of the second law of thermodynamics ⋮ The second law of thermodynamics for semi-systems with few approximate cycles ⋮ Thermodynamics based on a work inequality ⋮ On the Clausius inequality ⋮ Thermodynamics based on the Hahn-Banach theorem: The Clausius inequality

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A new mathematical theory of simple materials
• The thermodynamics of elastic materials with heat conduction and viscosity
• The morphology and stability of material phases
• On the thermodynamics of elastic-plastic materials with temperature- dependent moduli and yield stresses
• A mathematical foundation for thermodynamics
• On thermodynamics and elastic-plastic materials
• Thermodynamics and stability
• On thermodynamics and intrinsically equilibrated materials
• On the thermodynamics of semi-systems with restrictions on the accessibility of states
• On thermodynamics and the stability of motions of material with memory
• Thermodynamics and the energy criterion for stability
• On thermodynamics, strain impulses, and viscoelasticity
• Thermodynamics and the stability of fluid motion
• A thermodynamic theory of mixtures of fluids
• Thermodynamics and the possibility of spatial interaction in rigid heat conductors
• On the stability of certain motions of incompressible materials with memory
• Thermodynamics of materials with elastic range
• On the stability of equilibrium states of general fluids
• Thermodynamic restrictions on the constitutive equations of electromagnetic theory
• Thermodynamics and departures from Fourier's law of heat conduction
• The energy criterion for stability in continuum thermodynamics
• CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT

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