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 | |
| Added by: | [JP] |
| Total mark: | 0 |
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