Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model

Giovambattista Amendola; Adele Manes

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 3, page 969-987
  • ISSN: 0392-4041

Abstract

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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.

How to cite

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Amendola, Giovambattista, and Manes, Adele. "Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 969-987. <http://eudml.org/doc/290377>.

@article{Amendola2007,
abstract = {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.},
author = {Amendola, Giovambattista, Manes, Adele},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {969-987},
publisher = {Unione Matematica Italiana},
title = {Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model},
url = {http://eudml.org/doc/290377},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Amendola, Giovambattista
AU - Manes, Adele
TI - Minimum Free Energy for a Rigid Heat Conductor and Application to a Discrete Spectrum Model
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 969
EP - 987
AB - 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.
LA - eng
UR - http://eudml.org/doc/290377
ER -

References

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