分野別セミナー

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.