TY  - GEN 
T1  - A mesoscopic thermomechanically-coupled model for thin-film shape-memory alloys by dimension reduction and scale transition
A1  - Benešová, Barbora
A1  - Kružík, Martin
A1  - Pathó, Gabriel
Y1  - 2013
KW  - dimension-reduction problems
KW  - parameterized measures
KW  - shape-memory alloys
KW  - thermomechanics
N2  - 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.
M1  - Preprint project = NCMM
M1  - Preprint year = 2013
M1  - Preprint number = 09
M1  - Preprint ID = NCMM/2013/09
ER  -