Canonical formulation and conservation laws of thermoelasticity without dissipation

DOI10.1016/S0034-4877(04)90024-9zbMath1121.74019MaRDI QIDQ2455759

V. K. Kalpakides, Gérard A. Maugin

Publication date: 26 October 2007

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

variational formulationHamilton's principleNoether's theorem

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

On conservation and balance laws in micromorphic elastodynamics, On thermodynamic functions in thermoelasticity without energy dissipation, Aspects of the nonlinear theory of type II thermoelastostatics, Energy based methods applied in mechanics by using the extended Noether's formalism, On Eshelby tensors in the context of the thermodynamics of open systems: application to volumetric growth, Nonlinear kinematic wave mechanics of elastic solids, An analytical mechanics approach to the first law of thermodynamics and construction of a variational hierarchy, Conservation and balance laws in linear elasticity of grade three, The equilibrium of material forces in a 1D phase transition problem

Cites Work

• Conservation laws in linear elasto-dynamics
• Thermoelasticity without energy dissipation
• On the universality of the thermomechanics of forces driving singular sets
• The thermoelastic material-momentum equation
• Configuration forces as basic concepts of continuum physics
• Thermoelasticity with Second Sound: A Review
• Conservation Laws for Thermo or Poroelasticity
• Mechanics in Material Space
• Symmetry-based algorithms to relate partial differential equations: II. Linearization by nonlocal symmetries
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