This week's seminars
Applied Mathematics Seminars: Surface energies emerging in martensitic phase transformations
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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This seminar series is the continuation of the Numerical Analysis Seminar series that ran until August 2016. This change of name reflects the broader interests of the Applied Mathematics group (note that the Mathematical and Theoretical Particle Physics group also has a seminar series).