0398004 20240103203152.520131121235959.9 10.1007/978-3-0348-0451-6_22 22 s. P cav_un_epca*0398003978-3-0348-0450-92194-1009587-608BaselSpringer2013JohannAndreasKruseHans-PeterRuppFlorianSchmitzStephan Dynamical Systems Ergodic Theory Mathematical Physics cav_un_auth*0101142 Kružík Martin Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory G Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0243187 Zimmer J. GB http://library.utia.cas.cz/separaty/2013/MTR/kruzik-0398004.pdf GAP201/10/0357 GA ČR cav_un_auth*0263489 A study of the thin film limit of martensitic materials is presented, with the film height tending to zero. The behaviour of the material is modelled by a stored elastic energy which grows to infinity if the normal to the deformed film tends to zero. We show that the macroscopic behaviour of the material can be described by gradient Young measures if Dirichlet boundary conditions are prescribed at the boundary of the film. In this situation, we also formulate a rate-independent problem describing evolution of the material. A second approach, perhaps useful in case of non-Dirichlet loading, is presented as well, relying on suitable generalised Young measures. cav_un_auth*0295385 Conference in Honor of Juergen Scheurle Mnichov 11.01.2011-13.01.2011 DE 2014 BA 2 ZP RVO:67985556 http://hdl.handle.net/11104/0226305 2013 cav_un_epca*0398003 Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of Jurgen Scheurle - Springer Proceedings in Mathematics and Statistics 35 978-3-0348-0450-9 2194-1009 587 608 Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of Jurgen Scheurle - Springer Proceedings in Mathematics and Statistics 35 Basel Springer 2013 Johann Andreas 340 Kruse Hans-Peter 340 Rupp Florian 340 Schmitz Stephan 340