Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model
Amendola, Giovambattista ; Manes, Adele
Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 969-987 / Harvested from Biblioteca Digitale Italiana di Matematica
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A general closed expression is given for the minimum free energy for a rigid heat conductor with memory effects. This formula, derived in the frequency domain, is related to the maximum recoverable work we can obtain from the material at a given state, which is characterized by the temperature and the past history of its gradient. Another explicit formula of the minimum free energy is also derived and used to obtain the results related to the particular case of a discrete spectrum model material response.

Si considera il problema di trovare una espressione dell'energia libera minima per un conduttore di calore rigido e con memoria. Tale energia fornisce il massimo lavoro ottenibile dal materiale in un dato stato, caratterizzato in questo lavoro dalla temperatura e dalla storia passata del gradiente di questa. Una equivalente espressione viene ottenuta e applicata al particolare caso di un conduttore con spettro discreto.

Publié le : 2007-10-01
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     author = {Giovambattista Amendola and Adele Manes},
     title = {Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {969-987},
     zbl = {1183.80008},
     mrnumber = {2507909},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_969_0}
}

Amendola, Giovambattista; Manes, Adele. Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 969-987. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_969_0/

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