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IMA Journal of Applied Mathematics Advance Access published online on March 25, 2009
IMA Journal of Applied Mathematics, doi:10.1093/imamat/hxp011
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© The Author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

An extended notion of enthalpy. Electromagnetic solids

Carmine Trimarco{dagger}

Department of Applied Mathematics, University of Pisa, Via F. Buonarroti 1, I-56127 Pisa, Italy

{dagger} Email: trimarco{at}dma.unipi.it

Received on December 20, 2007; Revision received September 14, 2008. Accepted on January 29, 2009

Some procedures are here expounded in order to introduce the physical and the material or configurational stress in deformable and moving solids. In electromagnetic materials, the electromagnetic fields are preliminarily introduced in the Lagrangian form. Then a variational approach is proposed through two different procedures. Two energy–momentum tensors are excerpted from the suggested procedures. One of them corresponds to a Cauchy-like stress and the other one to the material stress. The latter rules the balance law for the material momentum. This balance law across a first-order discontinuity surface addresses an extended notion of enthalpy and also an extension of the Maxwell condition in thermodynamical phase transitions of electromagnetic solids.

Keywords: electromagnetism; material forces; variational methods; phase transitions.


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