Virtual power and thermodynamics for electromagnetic continua with interfaces

DOI10.1063/1.527231zbMath0622.73123OpenAlexW2036906427MaRDI QIDQ3760116

Naoum Daher, Gérard A. Maugin

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527231

zbMATH Keywords

energyinterfacesangular momentumCauchy stress tensorprinciple of virtual powerentropy productionmagnetizationglobal formulationdiscontinuity surfaceselectric polarizationelectromagnetic fluidsurface phenomenabalance of momentumfirst and second principles of thermodynamicselectron theory of Lorentzlocal volume and surface equationsnonlinear electromechanical equations

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Electromagnetic effects in solid mechanics (74F15)

Related Items (11)

Driving Force on Phase Transition Fronts in Thermoelectroelastic Crystals ⋮ The principle of virtual power: from eliminating metaphysical forces to providing an efficient modelling tool ⋮ Surface magnetoelasticity theory ⋮ Nonlinear electroacoustic equations in semiconductors with interfaces (relation between the macroscopic and the quasi-microscopic descriptions) ⋮ Principle of virtual power applied to deformable semiconductors with strain, polarization, and magnetization gradients ⋮ Geometrically nonlinear continuum thermomechanics with surface energies coupled to diffusion ⋮ How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert ⋮ Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids ⋮ Fluid-fluid and -solid interaction problems: variational principles revisited ⋮ Deformable semiconductors with interfaces: Basic continuum equations ⋮ Linear plane wave propagation and normal transmission and reflection at discontinuity surfaces in second gradient 3D continua

Cites Work

• The method of virtual power in continuum mechanics. Application to media presenting singular surfaces and interfaces
• The method of virtual power in continuum mechanics: Application to coupled fields
• On the covariant equations of the relativistic electrodynamics of continua. I. General equations
• The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure

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