Numerical and mathematical analysis of diffusion induced grain boundary motion
Lead Research Organisation:
University of Sussex
Department Name: Sch of Mathematical & Physical Sciences
Abstract
This research intends to use mathematical and computational techniques to study the phenomenon of diffusion induced grain boundary motion (DIGM). Grain boundaries, that are typically very thin, separate regions in metals that are made up of different structures. DIGM occurs when a thin sheet of metal is placed in a vapour that contains a different metal. The atoms from the vapour diffuse into the sheet but only in the areas where the grain boundaries are situated. The presence of the vapour atoms in the sheet causes stresses in the metal and as a result of these stresses the grain bounadies move within the sheet. The objective of the proposed research is to analyse mathematical models for the motion of these grain boundaries and to produce reliable and efficient computer codes that will enable computer simulations of DIGM in three space dimensions.
Organisations
People |
ORCID iD |
Vanessa Styles (Principal Investigator) |
Publications
Blank L
(2014)
Relating phase field and sharp interface approaches to structural topology optimization
in ESAIM: Control, Optimisation and Calculus of Variations
Blank L
(2012)
Primal-dual active set methods for Allen-Cahn variational inequalities with nonlocal constraints
in Numerical Methods for Partial Differential Equations
Blank L
(2013)
Nonlocal Allen-Cahn systems: analysis and a primal-dual active set method
in IMA Journal of Numerical Analysis
Blazakis K
(2015)
Whole cell tracking through the optimal control of geometric evolution laws
in Journal of Computational Physics
Elliott C
(2012)
An ALE ESFEM for Solving PDEs on Evolving Surfaces
in Milan Journal of Mathematics
Elliott C
(2010)
Numerical computation of advection and diffusion on evolving diffuse interfaces
in IMA Journal of Numerical Analysis