On the heat dissipation function for irreversible mechanical phenomena in anisotropic media

L. Restuccia, G.A. Kluitenberg

    Research output: Contribution to journal › Article › Academic › peer-review

    Abstract

    The heat dissipation function for anisotropic media in which viscous and inelastic flows occur is derived as a generalization of the heat dissipation function studied in the case that the media are isotropic. The methods of the Thermodynamics of irreversible processes are used. It is seen that the linearization of the theory leads to a stress-strain-temperature relation for anisotropic viscoanelastic media and that the heat dissipation function is a quadratic expression in the components of the stress tensor, the strain tensor, the time derivative of the latter tensor and the temperature. Finally, the obtained results are applied to the particular case of viscous fluids, Maxwell, Kelvin (Voigt), Poynting-Thomson, Jeffreys, Prandtl-Reuss and Hooke media.
    Original languageEnglish
    Pages (from-to)169-187
    JournalRendiconti del Seminario Matemàtico di Messina, Serie II
    Volume22
    Issue number7
    Publication statusPublished - 2000

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    anisotropic media
    cooling
    tensors
    irreversible processes
    isotropic media
    stress tensors
    viscous fluids
    viscous flow
    linearization
    thermodynamics
    temperature

    Cite this

    Restuccia, L. ; Kluitenberg, G.A. / On the heat dissipation function for irreversible mechanical phenomena in anisotropic media. In: Rendiconti del Seminario Matemàtico di Messina, Serie II. 2000 ; Vol. 22, No. 7. pp. 169-187.
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    title = "On the heat dissipation function for irreversible mechanical phenomena in anisotropic media",
    abstract = "The heat dissipation function for anisotropic media in which viscous and inelastic flows occur is derived as a generalization of the heat dissipation function studied in the case that the media are isotropic. The methods of the Thermodynamics of irreversible processes are used. It is seen that the linearization of the theory leads to a stress-strain-temperature relation for anisotropic viscoanelastic media and that the heat dissipation function is a quadratic expression in the components of the stress tensor, the strain tensor, the time derivative of the latter tensor and the temperature. Finally, the obtained results are applied to the particular case of viscous fluids, Maxwell, Kelvin (Voigt), Poynting-Thomson, Jeffreys, Prandtl-Reuss and Hooke media.",
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    year = "2000",
    language = "English",
    volume = "22",
    pages = "169--187",
    journal = "Rendiconti del Seminario Matem{\`a}tico di Messina, Serie II",
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    Restuccia, L & Kluitenberg, GA 2000, 'On the heat dissipation function for irreversible mechanical phenomena in anisotropic media', Rendiconti del Seminario Matemàtico di Messina, Serie II, vol. 22, no. 7, pp. 169-187.

    On the heat dissipation function for irreversible mechanical phenomena in anisotropic media. / Restuccia, L.; Kluitenberg, G.A.

    In: Rendiconti del Seminario Matemàtico di Messina, Serie II, Vol. 22, No. 7, 2000, p. 169-187.

    Research output: Contribution to journal › Article › Academic › peer-review

    TY - JOUR

    T1 - On the heat dissipation function for irreversible mechanical phenomena in anisotropic media

    AU - Restuccia, L.

    AU - Kluitenberg, G.A.

    PY - 2000

    Y1 - 2000

    N2 - The heat dissipation function for anisotropic media in which viscous and inelastic flows occur is derived as a generalization of the heat dissipation function studied in the case that the media are isotropic. The methods of the Thermodynamics of irreversible processes are used. It is seen that the linearization of the theory leads to a stress-strain-temperature relation for anisotropic viscoanelastic media and that the heat dissipation function is a quadratic expression in the components of the stress tensor, the strain tensor, the time derivative of the latter tensor and the temperature. Finally, the obtained results are applied to the particular case of viscous fluids, Maxwell, Kelvin (Voigt), Poynting-Thomson, Jeffreys, Prandtl-Reuss and Hooke media.

    AB - The heat dissipation function for anisotropic media in which viscous and inelastic flows occur is derived as a generalization of the heat dissipation function studied in the case that the media are isotropic. The methods of the Thermodynamics of irreversible processes are used. It is seen that the linearization of the theory leads to a stress-strain-temperature relation for anisotropic viscoanelastic media and that the heat dissipation function is a quadratic expression in the components of the stress tensor, the strain tensor, the time derivative of the latter tensor and the temperature. Finally, the obtained results are applied to the particular case of viscous fluids, Maxwell, Kelvin (Voigt), Poynting-Thomson, Jeffreys, Prandtl-Reuss and Hooke media.

    M3 - Article

    VL - 22

    SP - 169

    EP - 187

    JO - Rendiconti del Seminario Matemàtico di Messina, Serie II

    JF - Rendiconti del Seminario Matemàtico di Messina, Serie II

    SN - 0390-6167

    IS - 7

    ER -

    Restuccia L, Kluitenberg GA. On the heat dissipation function for irreversible mechanical phenomena in anisotropic media. Rendiconti del Seminario Matemàtico di Messina, Serie II. 2000;22(7):169-187.