BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Alex (Oleksandr) Misiats (Virginia Commonwealth University) DTSTART:20240819T111500Z DTEND:20240819T120000Z DTSTAMP:20260417T003235Z UID:cam/39 DESCRIPTION:Title: Lin ear Elastic Models of Shape Memory Alloys: Variational Perspective\nby Alex (Oleksandr) Misiats (Virginia Commonwealth University) as part of CA M seminar\n\nLecture held in MV:L14.\n\nAbstract\nIn this talk\, I will de scribe a class of minimization problems arising in modelling shape memory alloys. I will start with a shape memory material illustration\, followed by a simple one dimensional model of it. Its extensions in 2D and 3D will help us understand the energetic mechanism behind the formation of twin p atterns in physical experiments. By means of sharp upper and lower bounds\ , we show that certain experimentally observed structures provide optimal energy scaling law. Despite the fact that the problem is highly nonconvex due to the presence of phase constraints and the singular perturbation\, i n my talk\, I will describe a relaxation method which allows the use of th e convex duality technique for the purpose of obtaining a sharp lower boun d. I will also describe the extension of the linear elastic models of two twins to model multiscale patterns\, which appear in recent physical exper iments and involve mixing of four twins.\n LOCATION:https://researchseminars.org/talk/cam/39/ END:VEVENT END:VCALENDAR