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Self-organization and criticality in martensite

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Date: Wednesday 22 March 2017
Venue: EN210, Hawthorn Campus

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Abstract

A martensitic phase-transformation is a first-order diffusionless transition occurring in elastic crystals and characterized by an abrupt change of shape of the underlying crystal lattice. It is the basic activation mechanism for the Shape-Memory effect.

In this Applied Mathematics Seminar we present a probabilistic model for the description of martensitic microstructure as an avalanche process. Our approach to the analysis of the model is based on an associated general branching random walk process.

Comparisons are reported for numerical and analytical solutions and experimental observations.

About the speaker

Dr PierLuigi Cesana graduated at SISSA, Italy in 2009 with a PhD in calculus of variations and elasticity theory. He worked as a postdoc in the US across Caltech and Los Alamos National Laboratoris until 2013, before moving to the Mathematical Institute at Oxford.

As of 2015 he is based at La Trobe University. In his research he has been adopting energy-minimization approaches in materials science with a special focus on elastic-liquid crystals (artificial lenses and muscles) and metallurgy (pattern formation and topological defects in Shape-Memory Alloys). More recently he has used tools from probability theory to study self-organization and criticality in the microstructure of elastic crystals.

Contact Information: Dr Federico Frascoli
Email: ffrascoli@swin.edu.au