Critical events, entropy, and the grain boundary character distribution

K Barmak, E Eggeling, M Emelianenko, Y Epshteyn… - Physical Review B …, 2011 - APS
Mesoscale experiment and simulation permit harvesting information about both geometric
features and texture in polycrystals. The grain boundary character distribution (GBCD) is an …

[PDF][PDF] An entropy based theory of the grain boundary character distribution

K Barmak, E Eggeling, M Emelianenko… - Discrete Contin. Dyn …, 2011 - math.gmu.edu
Cellular networks are ubiquitous in nature. They exhibit behavior on many different length
and time scales and are generally metastable. Most technologically useful materials are …

A revisited Johnson–Mehl–Avrami–Kolmogorov model and the evolution of grain-size distributions in steel

D Hömberg, FS Patacchini, K Sakamoto… - IMA Journal of …, 2017 - academic.oup.com
Abstract The classical Johnson–Mehl–Avrami–Kolmogorov approach for nucleation and
growth models of diffusive phase transitions is revisited and applied to model the growth of …

Towards a gradient flow for microstructure

P Bardsley, K Barmak, E Eggeling, Y Epshteyn… - Rendiconti Lincei, 2017 - ems.press
A central problem of microstructure is to develop technologies capable of producing an
arrangement, or ordering, of a polycrystalline material, in terms of mesoscopic parameters …

A theory and challenges for coarsening in microstructure

K Barmak, E Eggeling, M Emelianenko… - Analysis and numerics …, 2013 - Springer
Cellular networks are ubiquitous in nature. Most engineered materials are polycrystalline
microstructures composed of a myriad of small grains separated by grain boundaries, thus …

[PDF][PDF] MATERIALS MICROSTRUCTURES: ENTROPY AND CURVATURE-DRIVEN COARSENING (Nonlinear Partial Differential Equations, Dynamical Systems and …

K Barmak, E Eggeling… - 数理解析研究所 …, 2014 - repository.kulib.kyoto-u.ac.jp
Cellular networks are ubiquitous in nature. Most engineered materials are polycrystalline
microstructures composed of a myriad of small grains separated by grain boundaries, thus …

Recent developments in material microstructure: a theory of coarsening

K Barmak, E Eggeling, M Emelianenko… - MRS Online …, 2015 - cambridge.org
Cellular networks are ubiquitous in nature. Most engineered materials are polycrystalline
microstructures composed of a myriad of small grains separated by grain boundaries, thus …

[PS][PS] für Angewandte Analysis und Stochastik

D Hömberg, N Togobytska, M Yamamoto - 2008 - wias-berlin.de
In this paper we introduce a new model for solid-liquid phase transitions triggered by Joule
heating as they arise in the case of resistance welding of metal parts. The main novelties of …