Mechanics and Electrodynamics of Magneto- and by Raymond Ogden, David Steigmann

By Raymond Ogden, David Steigmann

This quantity offers a state of the art evaluate of the continuum idea of either electro- and magneto-sensitive elastomers and polymers, together with mathematical and computational points of the modelling of those fabrics from the viewpoint of fabric homes and, particularly, the "smart-material" keep an eye on in their mechanical homes.

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Additional info for Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials

Example text

Maugin In plain words, free electromagnetic fields, do not, by themselves, develop any inhomogeneity force. , magnetization and electric polarization). Accordingly, the usual Maxwell stress tensor introduced in (8)2 cannot contribute to the balance of material momentum. Along the same line, the electromagnetic material momentum has to be different from the pull back of the electromagnetic momentum in vacuum. Another prerequisite concerns the fact that the first group of Maxwell’s equations – say (2) – is automatically taken care of by the introduction of the electromagnetic potentials.

Materials 2:7–19, 1991. G. A. Maugin. Thermodynamics of hysteresis. In P. Salamon and S. Sieniutycz, editors, Non-equilibrium Thermodynamics “Extended Thermodynamic Systems”, Advances in Thermodynamics Series, Vol. 7, pages 25–52. Taylor and Francis, New York, 1992. G. A. Maugin. Non-equilibrium thermodynamics of electromagnetic solids. In W. Muschik, editor, Non-equilibrium Thermodynamics with Applications to Solids, pages 205–258. Springer, Wien, 1993. G. A. Maugin. Material Inhomogeneities in Elasticity.

Much more interesting from the conceptual viewpoint is the case of elastic (hard) ferromagnets because such materials exemplify the problem of formulating canonical balance laws in media equipped with a microstructure, here a magnetic one, which is equivalent to considering additional internal degrees of freedom in a continuum. Here, this is materialized by the fact that equation (273) is replaced by a true dynamical equation containing a flux. In addition, the new internal degree of freedom, represented by the precession of a spin is peculiar in the sense that it is of gyroscopic nature having no closed form for its kinetic energy in classical physics (the phenomenon is inherently quantum mechanical).

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