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Department of Mathematical Sciences


This week's seminars

Applied Mathematics Seminars: Surface energies emerging in martensitic phase transformations

Presented by Georgy Kitavtsev , University of Oxford

16 March 2018 14:00 in CM219

We will discuss microscopic modelling of a two-dimensional two-well problem which arises from the square-to-rectangular martensitic transformation in 2D shape-memory materials. In this discrete set-up, I will focus on the surface energy scaling regime and analyse the Hamiltonian incorporating two-body and three-body interactions on an atomistic lattice. This Hamiltonian allows for a direct control of the discrete second order deformation gradients as well as for a one-sided comparison with a two-dimensional spin system. Exploring this we will derive a (first order) continuum limit and show the emergence of surface energy in the form of a sharp-interface limiting model as well as the explicit structure of the minimisers to the latter. This is a joint work with Stephan Luckhaus and Angkana Rueland.

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Research Seminars by Series

The research groups in the Department of Mathematical Sciences hold several seminar series in term time. Information on date, time and location are available here.

For information on previous years' seminars please see the seminar archives pages.