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A Study on the Principle of Maximum Dissipation for Coupled and Non-Coupled Non-Isothermal Processes in Materials

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    0363668 - ÚFM 2012 RIV GB eng J - Journal Article
    Hackl, K. - Fischer, F. D. - Svoboda, Jiří
    A Study on the Principle of Maximum Dissipation for Coupled and Non-Coupled Non-Isothermal Processes in Materials.
    Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences. Roč. 467, č. 2128 (2011), s. 1186-1196. ISSN 1364-5021. E-ISSN 1471-2946
    R&D Projects: GA MŠMT(CZ) OC10029
    Institutional research plan: CEZ:AV0Z20410507
    Keywords : dissipation * coupled processes * variational principles
    Subject RIV: BJ - Thermodynamics
    Impact factor: 1.971, year: 2011

    Onsager’s principle of maximum dissipation (PMD) has proven to be an efficient tool to derive evolution equations for the internal variables describing non-equilibrium processes. However, a rigorous treatment of PMD for several simultaneously acting dissipative processes is still open and presented in this paper. The coupling or uncoupling of the processes is demonstrated via the mathematical structure of the dissipation function. Examples are worked out for plastic deformation and heat flux.
    Permanent Link: http://hdl.handle.net/11104/0199394

     
     
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