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The Minimum and Related Free Energies for Dielectric Materials

In: Thermodynamics of Materials with Memory

Author

Listed:
  • Giovambattista Amendola

    (University of Pisa, Dipartimento di Matematica)

  • Mauro Fabrizio

    (University of Bologna, Dipartimento di Matematica)

  • John Golden

    (Technological University - Dublin, Grangegorman Campus)

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.

Suggested Citation

  • Giovambattista Amendola & Mauro Fabrizio & John Golden, 2021. "The Minimum and Related Free Energies for Dielectric Materials," Springer Books, in: Thermodynamics of Materials with Memory, edition 2, chapter 0, pages 495-518, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-80534-0_22
    DOI: 10.1007/978-3-030-80534-0_22
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