Institute of Mathematics for Industry


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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)

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.