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@MISC{,
            author = {Bene{\v s}ov{\'{a}}, Barbora and Kruž{\'{\i}}k, Martin and Path{\'{o}}, Gabriel},
          keywords = {dimension-reduction problems, parameterized measures, shape-memory alloys, thermomechanics},
             title = {A mesoscopic thermomechanically-coupled model for thin-film shape-memory alloys by dimension reduction and scale transition},
              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}
}