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A mesoscopic thermomechanically-coupled model for thin-film shape-memory alloys by dimension reduction and scale transition
Type of publication: Misc
Citation:
Year: 2013
Abstract: We design a new mesoscopic thin-film model for shape-memory materials which takes into account mutual thermomechanical effects. Starting from a microscopic thermodynamical bulk model we guide the reader through a suitable dimension-reduction procedure followed by a scale transition valid for specimen large in area up to a limiting model which describes microstructure by means of parametrized measures. All our models obey the second law of thermodynamics and possess suitable weak solutions. This is shown for the resulting thin-film models by making the procedure described above mathematically rigorous.The main emphasize is, thus, put on modeling and mathematical treatment of conjoint interactions of mechanical and thermal effects accompanying phase transitions and on overpassing specimen dimensions and material scales.
Preprint project: NCMM
Preprint year: 2013
Preprint number: 09
Preprint ID: NCMM/2013/09
Keywords: dimension-reduction problems, parameterized measures, shape-memory alloys, thermomechanics
Authors Benešová, Barbora
Kružík, Martin
Pathó, Gabriel
Added by: [JP]
Total mark: 0
Attachments
  • bbmkgp_all.pdf
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