Free Energies for Nonlocal 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 21 in Thermodynamics of Materials with Memory, 2021, pp 473-494 from Springer

Abstract: Abstract When nonlocal materials Nonlocal material are considered, the classical laws of thermodynamics must be modified by expressing these laws in terms of internal Power internal powers or by introducing directly into them suitable extra fluxes, characteristic of the material under consideration [117], as discussed in some detail in Sect. 3.7 . The first formulation, in terms of internal powers, is more general than the second one, since it is defined a priori by means of the constitutive equations, by taking into account the power Balance law power balance laws; in the second method, there is the problem of introducing a posteriori the vector fluxes in order that compatibility with the laws of thermodynamics be satisfied.

Date: 2021
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DOI: 10.1007/978-3-030-80534-0_21

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