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Energetic approach to gradient plasticity

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    0336009 - ÚTIA 2010 RIV DE eng J - Journal Article
    Kratochvíl, J. - Kružík, Martin - Sedláček, R.
    Energetic approach to gradient plasticity.
    [Energetický přístup ke gradientní plasticitě.]
    ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik. Roč. 90, č. 2 (2010), s. 122-135. ISSN 0044-2267. E-ISSN 1521-4001
    R&D Projects: GA AV ČR IAA100750802
    Institutional research plan: CEZ:AV0Z10750506
    Keywords : gradient plasticity * energetic solution
    Subject RIV: BA - General Mathematics
    Impact factor: 0.831, year: 2010
    http://library.utia.cas.cz/separaty/2010/MTR/kruzik-energetic approach to gradient plasticity.pdf

    We formulate a problem of the evolution of elasto-plastic materials subjected to external loads in the framework of large deformations and multiplicative plasticity. Our model includes gradients of the plastic strain and of hardening variables. We prove the existence of the so-called energetic solution. The stored energy density function is assumed to be quasiconvex in the elastic strain which makes our results applicable to relaxed models of shape memory materials, for instance.

    Formulujeme úlohu gradientní plasticity pro elastoplastický materiál a dokážeme existenci energetického řešení.
    Permanent Link: http://hdl.handle.net/11104/0180341

     
     
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