The Minimum and Related Free Energies for Dielectric Materials

Giovambattista Amendola, Mauro Fabrizio and John Golden
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Giovambattista Amendola: University of Pisa, Dipartimento di Matematica
Mauro Fabrizio: University of Bologna, Dipartimento di Matematica
John Golden: Technological University - Dublin, Grangegorman Campus

Chapter Chapter 22 in Thermodynamics of Materials with Memory, 2021, pp 495-518 from Springer

Abstract: Abstract Free energies in electromagnetism, as in mechanics, are not in general uniquely determined by the constitutive equations but form a convex setConvex set with a minimum and a maximum element. A formula for the minimum free energy Free energy minimum dielectric of a dielectric material with a linear memory-dependent constitutive equation was first given in [35], based on results in mechanics [158]. This was generalized in [151, 152], which form the basis of the present chapter.

Date: 2021
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DOI: 10.1007/978-3-030-80534-0_22

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