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Bilans d'energie et de quantité de mouvement pour un continu deformable, polarisable et magnétisable

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Abstract

In this paper, it is shown that the different electromagnetic energy-momentum tensors proposed by various authors for a continuum interacting with an electromagnetic field all lead to the same equations of balance for energy and momentum provided the definitions of stress and internal energy are suitably related. These various tensors come out from different partitions of the total energy-momentum tensor. From a particular partition, we derive an expression of the balance of energy suitable for application to continuum thermodynamics. In the classical approximation, the corresponding equation of balance of momentum gives rise to an expression for the electromagnetic force in a polarizable and magnetizable continuum.

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Mémoire présenté par R. A. Toupin

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Boulanger, P., Mayne, G. Bilans d'energie et de quantité de mouvement pour un continu deformable, polarisable et magnétisable. Arch. Rational Mech. Anal. 53, 295–311 (1974). https://doi.org/10.1007/BF00281488

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