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Displaying 1 - 25 of 193

Effect of Vacancy Creation and Annihilation on Grain Boundary Motion

January 15, 2020
Author(s)
Geoffrey B. McFadden, William J. Boettinger, Yuri Mishin
The interaction of vacancies with grain boundaries (GBs) is involved in many processes occurring in materials, including radiation damage healing and diffusional creep. We analyze a model describing a set of processes occurring at a GB in the presence of a

Equilibrium and stability of axisymmetric drops on a conical substrate under gravity

October 4, 2015
Author(s)
Asha K. Nurse, Sean A. Colbert-Kelly, Sam R. Coriell, Geoffrey B. McFadden
Motivated by recent investigations of toroidal tissue clusters that are observed to climb conical obstacles after self-assembly, we study a related problem of the determination of the equilibrium and stability of axisymmetric drops on a conical substrate

Sharp interface model of creep deformation in crystalline solids

June 30, 2015
Author(s)
Yuri Mishin, Geoffrey B. McFadden, Robert F. Sekerka, William J. Boettinger
We present a rigorous irreversible thermodynamics treatment of creep deformation of solid mate- rials with interfaces described as geometric surfaces capable of vacancy generation and absorption and moving under the influence of local thermodynamic forces

On the Stability of Rotating Drops

April 20, 2015
Author(s)
Asha K. Nurse, Sam R. Coriell, Geoffrey B. McFadden
We consider the equilibrium and stability of rotating axisymmetric fluid drops by appealing to a variational principle that characterizes the equilibria as stationary states of a functional containing surface energy and rotational energy contributions

Morphological Stability

December 5, 2014
Author(s)
Robert F. Sekerka, Sam R. Coriell, Geoffrey B. McFadden
The theory of morphological stability provides a dynamical analysis of the stability of the interface that separates phases during a phase transformation. We focus on crystallization from either a pure or alloy melt. One solves the governing equations for