An experimentally-fitted thermodynamical constitutive model for polycrystalline shape memory alloys | Zendy

Barbora Benešová | Zendy; Miroslav Frost | Zendy; Lukáš Kadeřávek | Zendy; Tomáš Roubı́ček | Zendy; Petr Sedlák | Zendy

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An experimentally-fitted thermodynamical constitutive model for polycrystalline shape memory alloys

Author(s) -

Barbora Benešová,

Miroslav Frost,

Lukáš Kadeřávek,

Tomáš Roubı́ček,

Petr Sedlák

Publication year - 2020

Publication title -

discrete and continuous dynamical systems - s

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.481

H-Index - 34

eISSN - 1937-1632

pISSN - 1937-1179

DOI - 10.3934/dcdss.2020459

Subject(s) - shape memory alloy , discretization , crystallite , nickel titanium , phenomenological model , dissipation , materials science , convergence (economics) , coupling (piping) , mechanics , stability (learning theory) , function (biology) , thermodynamics , mathematics , condensed matter physics , metallurgy , mathematical analysis , physics , computer science , machine learning , economic growth , economics , evolutionary biology , biology

A phenomenological model for polycrystalline NiTi shape-memory alloys with a refined dissipation function is here enhanced by a thermomechanical coupling and rigorously analyzed as far as existence of weak solutions and numerical stability and convergence of the numerical approximation performed by a staggered time discretization. Moreover, the model is verified on one-dimensional computational simulations compared with real laboratory experiments on a NiTi wire.

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