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SUMMARY:Microstructures in SMA: Rigidity\, Non-Rigidity and Simulations - 
 Angkana Ruland (Max-Planck-Institut für Mathematik\, Leipzig)
DTSTART:20190115T143000Z
DTEND:20190115T151500Z
UID:TALK116890@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Jamie M Taylor (BCAM)\, Christian Zillinger (USC)\
 , Barbara Zwicknagl (TU Berlin)In this talk I will discuss a striking dich
 otomy which occurs in the mathematical analysis of microstructures in shap
 e-memory alloys: On the one hand\, some models for these materials display
  a very rigid structure with only very specific microstructures\, if one a
 ssumes that surface energies are penalised. On the other hand\, without th
 is penalisation\, for the same models a plethora of very wild solutions ex
 ists. Motivated by this observation\, we seek to further understand and an
 alyse the underlying mechanisms. By discussing a two-dimensional toy model
  and by constructing explicit solutions\, we show that adding only little 
 regularity to the model does not suffice to exclude the wild solutions. We
  illustrate these constructions by presenting numerical simulations of the
 m. The talk is based on joint work with J. M. Taylor\, Ch. Zillinger and B
 . Zwicknagl.
LOCATION:Seminar Room 1\, Newton Institute
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