BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Angkana Rüland (University of Bonn) DTSTART:20231002T134000Z DTEND:20231002T151000Z DTSTAMP:20260405T174415Z UID:NSCM/113 DESCRIPTION:Title: R igidity and Flexibility in the Modelling of Shape-Memory Alloys\nby An gkana Rüland (University of Bonn) as part of Nečas Seminar on Continuum Mechanics\n\nLecture held in Room K3\, Faculty of Mathematics and Physics \, Charles University\, Sokolovská 83 Prague 8..\n\nAbstract\nIn the mod elling of shape-memory alloys\, a striking dichotomy between rigid and fle xible behaviour emerges: On the one hand\, in many physically relevant set tings\, exactly stress-free structures of sufficiently high regularity can be shown to satisfy the kinematic compatibility conditions given by the c haracteristics of the compatibility equations. The solutions are rigid. On the other hand\, when dropping these regularity conditions\, the method o f convex integration shows that a plethora of wild\, irregular solutions e xist which do not satisfy the kinematic conditions in general. These solut ions can approximate a large class of boundary data and are thus flexible. In this talk\, I discuss an approach towards investigating this dichotomy in more detail based on scaling laws. For a class of simplified models\, we show that the complexity of the microstructure is captured by these sca ling laws both in settings with displacement and with nucleation boundary conditions.\n\nThe talk is based on joint work with P. Cesana\, F. Della P orta\, J. M. Taylor\, A. Tribuzio\, Ch. Zillinger\, B. Zwicknagl.\n LOCATION:https://researchseminars.org/talk/NSCM/113/ END:VEVENT END:VCALENDAR