Principle of virtual power for thermomechanics of fluids and solids with dissipation

DOI10.1016/j.ijengsci.2011.05.016zbMath1423.76018OpenAlexW2087076215MaRDI QIDQ1659776

Yih-Hsing Pao, Kuo-Ching Chen, Li-Sheng Wang

Publication date: 23 August 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2011.05.016

zbMATH Keywords

variational equationprinciple of virtual powerconstitutive equation

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermodynamics in solid mechanics (74A15) Thermal effects in solid mechanics (74F05) Foundations of fluid mechanics (76A02)

Related Items (1)

The virtual power principle in fluid mechanics

Cites Work

• An attempt to generalize Onsager's principle, and its significance for rheological problems
• The method of virtual power in continuum mechanics: Application to coupled fields
• Recent bibliography on extended irreversible thermodynamics and related topics (1992-1995)
• Variational principle for entropy in electrochemical transport phenomena
• Hamilton's action principle and thermodynamics of irreversible processes -- a unifying procedure for reversible and irreversible processes
• Variational principles for linear elastodynamics
• Entropy flux relation for viscoelastic bodies
• Unconventional Hamilton-type variational principles for nonlinear coupled thermoelastodynamics
• Method of Lagrange multipliers for exploitation of the entropy principle
• A re-examination of the basic postulates of thermomechanics
• New Variational-Lagrangian Irreversible Thermodynamics with Application to Viscous Flow, Reaction–Diffusion, and Solid Mechanics
• A unified procedure for construction of theories of deformable media. I. Classical continuum physics
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure
• The Derivation of Constitutive Relations from the Free Energy and the Dissipation Function
• Variational Principles in Irreversible Thermodynamics with Application to Viscoelasticity
• Thermodynamics
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