Department Seminar of Mikhail Poluektov- Propagation and stability of stress-affected transformation fronts in solids
Propagation and stability of stress-affected transformation fronts in solids
Monday June 23th 2025 at 14:00
Wolfson Building of Mechanical Engineering , Room 206
Abstract:
There is a wide range of problems in continuum mechanics that involve transformation fronts, which are non-stationary interfaces between two different phases in a phase-transforming or a chemically-transforming material. From the mathematical point of view, the considered problems are represented by systems of non-linear PDEs with discontinuities across non-stationary interfaces, kinetics of which depend on the solution of the PDEs. Such problems have a significant industrial relevance – an example of a transformation front is the localised stress-affected chemical reaction in Li-ion batteries with Si-based anodes. Since the kinetics of the transformation fronts depends on the continuum fields, the transformation front propagation can be decelerated and even blocked by the mechanical stresses. This talk will focus on three topics: (1) the stability of the transformation fronts in the vicinity of the equilibrium position for the chemo-mechanical problem, (2) a fictitious-domain finite-element method (CutFEM) for solving non-linear PDEs with transformation fronts and (3) an applied problem of Si lithiation.
Bio:
Mikhail Poluektov is currently appointed as a Lecturer in Mathematics at the University of Dundee (UK). His research focuses on computational and applied mathematics covering a large range of models and methods. In particular, his recent research includes fictitious-domain and multiscale methods for non-linear partial differential equations, as well as approximation theory methods. His work has been published in journals such as Computer Methods in Applied Mechanics and Engineering. Prior to current appointment, Dr Poluektov held a Senior Research Fellow position at the University of Warwick (UK). Dr Poluektov obtained a PhD from the Eindhoven University of Technology (Netherlands).
