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    On the thermodynamics of the Swift–Hohenberg theory

    Access Status
    Fulltext not available
    Embargo Lift Date
    2018-06-10
    Authors
    Espath, L.
    Sarmiento, A.
    Dalcin, L.
    Calo, Victor
    Date
    2017
    Collection
    • Curtin Research Publications
    Type
    Journal Article
    Metadata
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    Abstract

    We present the microbalance including the microforces, the first- and second-order microstresses for the Swift–Hohenberg equation concomitantly with their constitutive equations, which are consistent with the free-energy imbalance. We provide an explicit form for the microstress structure for a free-energy functional endowed with second-order spatial derivatives. Additionally, we generalize the Swift–Hohenberg theory via a proper constitutive process. Finally, we present one highly resolved three-dimensional numerical simulation to demonstrate the particular form of the resulting microstresses and their interactions in the evolution of the Swift–Hohenberg equation.

    Citation
    Espath, L. and Sarmiento, A. and Dalcin, L. and Calo, V. 2017. On the thermodynamics of the Swift–Hohenberg theory. Continuum Mechanics and Thermodynamics. 29 (6): pp. 1335-1345.
    Source Title
    Continuum Mechanics and Thermodynamics
    URI
    http://hdl.handle.net/20.500.11937/54792
    DOI
    10.1007/s00161-017-0581-y
    Department
    Department of Applied Geology
    Remarks

    The final publication is available at Springer via 10.1007/s00161-017-0581-y

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