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    On the thermodynamics of the Swift–Hohenberg theory

    253595.pdf (8.280Mb)
    Access Status
    Open access
    Authors
    Espath, L.
    Sarmiento, A.
    Dalcin, L.
    Calo, Victor
    Date
    2017
    Type
    Journal Article
    
    Metadata
    Show full item record
    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
    DOI
    10.1007/s00161-017-0581-y
    ISSN
    0935-1175
    School
    Department of Applied Geology
    Remarks

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

    URI
    http://hdl.handle.net/20.500.11937/54792
    Collection
    • Curtin Research Publications
    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.

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