A relativistic version of the principle of virtual power

DOI10.1016/0020-7225(81)90162-2zbMath0471.73001OpenAlexW1997527737MaRDI QIDQ1157982

Gérard A. Maugin

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0020-7225(81)90162-2

zbMATH Keywords

hysteresisheat conductionviscosityenergy equationJoule effectarbitrary finite virtual velocity fieldscase of electrodynamics with interactionspresence of dissipative processespurely thermomechanical caserelativistic version of principle of virtual power

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Electromagnetic fields in general relativity and gravitational theory (83C50) Variational principles of physics (49S05) Irreversible thermodynamics, including Onsager-Machlup theory (82B35)

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The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool ⋮ Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua

Cites Work

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• The method of virtual power in continuum mechanics: Application to coupled fields
• Further comments on the equivalence of Abraham's, Minkowski's, and others' electrodynamics
• Differentiable manifolds and the principle of virtual work in continuum mechanics
• On the covariant equations of the relativistic electrodynamics of continua. I. General equations
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure