Remarks on a Multiscale Approach to Grain Growth in Polycrystals

Katayun Barmak
Department of Materials Science and Engineering
Carnegie Mellon University
Pittsburgh, PA 15213 USA
email: katayun@andrew.cmu.edu

David Kinderlehrer
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
email: davidk@cmu.edu

Irene Livshits
Department of Matheamtical Sciences
Ball State University
Munci, IN 47306-0490 USA
email: ilivshits@bsu.edu

and

Shlomo Ta'asan
Department of Mathematical Sciences
Carnegie Mellon Unviersity
Pittsburgh, PA 15213 USa
email: shlomo@andrew.cmu.edu

Abstract: Nearly all technologically useful materials are polycrystalline. Their ability to meet system level specifications of performance and reliability is influenced by the types of grain boundaries present and their connectivity. To engineer the grain boundary network to achieve these objectives, we seek predictive models of growth at various mesoscale levels. Here we discuss a master equation description of normal grain growth derived from large scale simulations and compare the results with recent experiments.