The equations of continuum mechanics and the laws of thermodynamics

DOI10.1007/BF00420825zbMath0884.73006OpenAlexW2051147776MaRDI QIDQ1369532

James Serrin

Publication date: 1 April 1998

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00420825

zbMATH Keywords

entropystress tensorClausius-Duhem inequalityheat flux vectorenergy balance equationfrictional heatingexistence of internal energy

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Thermodynamics in solid mechanics (74A15) Theory of constitutive functions in solid mechanics (74A20)

Related Items (7)

Decoupled three-dimensional finite element computation of thermoelastic damping using Zener's approximation ⋮ Global weak solutions in nonlinear 3D thermoelasticity ⋮ Classical thermodynamics of elastic solids as open systems ⋮ Theoretical derivation of the conservation equations for single phase flow in porous media: a continuum approach ⋮ On the thermodynamics of some generalized second-grade fluids ⋮ Notes on the role of viscosity, vorticity and dissipation in incompressible flows ⋮ A discrete variational scheme for isentropic processes in polyconvex thermoelasticity

Cites Work

• A mathematical foundation for thermodynamics
• Global properties of continuum thermodynamic processes
• Thermodynamics based on a work inequality

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