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SUMMARY:Linear Elastic Models of Shape Memory Alloys: Variational Perspect
 ive
DTSTART:20250508T121500Z
DTEND:20250508T141500Z
DTSTAMP:20260416T083500Z
UID:indico-event-392@math-events.uni-bonn.de
CONTACT:kzemas@uni-bonn.de
DESCRIPTION:Speakers: Oleksandr Mitsiats (Virginia Commonwealth University
 )\n\nAbstract:  \nIn this talk I will describe a class of minimization pr
 oblems arising in modelling shape memory alloys.  I will start with a sh
 ape memory material illustration\, followed by a simple one dimensional mo
 del of it. Its extensions in 2D and 3D will help us understand the energet
 ic mechanism behind the formation of twin patterns in physical experiments
 . By means of sharp upper and lower bounds\, weshow that certain experimen
 tally observed  structures provide optimal energy scaling law\, and - und
 er certain assumptions - are true energy minimizers. I will also discuss t
 he extension of the linear elastic models for two twins to model multiscal
 e patterns\, which appear in recent physical experiments and involve mixin
 g of fourtwins. \n\nhttps://math-events.uni-bonn.de/event/392/
LOCATION:Endenicher Allee 60/1-016 - Lipschitzsaal (Mathezentrum)
URL:https://math-events.uni-bonn.de/event/392/
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