Institute of Mathematics for Industry

Seminar



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Moving interfaces in some reversible martensitic transformations


Hold Date 2017-08-08 12:00~2017-08-08 13:00

Place Lecture Room S W1-C-503, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Francesco Della Porta (University of Oxford and the Hong Kong University of Science and Technology)

Abstract:
Martensitic transformations are solid to solid phase transitions occurring in some alloys. This are abrupt changes in the crystalline structure when the temperature is moved across a critical temperature, and are important because they are behind the shape memory effect in shape memory alloys. It is a great mathematical challenge to fully understand this physical phenomenon and the complex microstructures that arise during this process. We focus on modelling this phenomenon at a continuum scale and we introduce a new dynamical model. Under physically-reasonable hypotheses, we prove some results that allow to better understand the complex microstructures and the phase interfaces arising in martensitic transformations.