On Hamilton's principle for thermo-elastic fluids and solids, and internal constraints in thermo-elasticity

DOI10.1007/BF00251390zbMath0634.76002MaRDI QIDQ1097110

Gautam Batra

Publication date: 1987

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

zbMATH Keywords

heat conductioncontinuum mechanicsHamilton's principlethermodynamical potentialCauchy stress principleGibbs relationsthermo-elastic fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Thermal effects in solid mechanics (74F05) Variational principles of physics (49S05) Foundations of fluid mechanics (76A02)

Related Items (8)

The influence of different loads on the remodeling process of a bone and bioresorbable material mixture with voids ⋮ On the variation of the Hamiltonian functional for an immiscible mixture ⋮ Hamilton's principle for Green-inelastic bodies ⋮ Hamilton's principle as inequality for inelastic bodies ⋮ Generalized Hamilton's principle for inelastic bodies within non-equilibrium thermodynamics ⋮ On a principle of virtual work for thermoelastic bodies ⋮ Single and multiple material constraints in thermoelasticity ⋮ On a principle of virtual work for thermo-elastic bodies with couple stresses

Cites Work

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• Hydrostatic theory of liquid crystals
• Spatial variational principles in continuum mechanics
• Applications of Hamilton's principle to continua with singular surfaces
• A variational theory of immiscible mixtures
• Thermodynamics of a continuum with internal constraints
• The thermodynamics of constrained materials
• Micro-structure in linear elasticity
• Variation Principles of Hydrodynamics
• A variational principle of gas dynamics
• A Variational Principle for Granular Materials
• HAMILTON'S PRINCIPLE APPLIED TO FLUID MECHANICS
• Variational principles in continuum mechanics
• A note on Hamilton's principle for perfect fluids

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