Search Results - "Cahn, J W"
-
1
Duality of dislocation content of grain boundaries
Published in Philosophical magazine (Abingdon, England) (01-09-2006)“…The Frank-Bilby equation (FBE) can give many solutions for the dislocation content of a grain boundary (GB); most of them are considered to have little…”
Get full text
Journal Article -
2
Reprise: partial chemical strain dislocations and their role in pinning dislocations to their atmospheres
Published in Philosophical magazine (Abingdon, England) (22-09-2014)“…A correct solution for a dislocation atmosphere is provided using Hirth's Standard Model, confirming the errors in Hirth and Lothe. Contrary to what is given…”
Get full text
Journal Article -
3
Thermodynamic aspects of Cottrell atmospheres
Published in Philosophical magazine (Abingdon, England) (30-09-2013)“…Using open system elastic constants, we can convert any of the many existing solved small-strain problems of stress fields of dislocation configurations to…”
Get full text
Journal Article -
4
Thermodynamics of Cottrell atmospheres tested by atomistic simulations
Published in Acta materialia (15-09-2016)“…Solute atoms can segregate to elastically deformed lattice regions around a dislocation and form an equilibrium distribution called the Cottrell atmosphere. We…”
Get full text
Journal Article -
5
Mean stresses in microstructures due to interface stresses: A generalization of a capillary equation for solids
Published in Acta materialia (01-05-1997)“…We derive a general expression for the mean stress in a solid induced by the stresses of areal and linear defects such as grain boundaries and triple junction…”
Get full text
Journal Article -
6
Special grain boundaries based on local symmetries
Published in Journal of materials science (01-12-2006)“…We propose that, in large unit cell structures, the operation of local symmetries rather than a coincidence site lattice (CSL), is important for the creation…”
Get full text
Conference Proceeding Journal Article -
7
Excess energy of grain-boundary trijunctions: an atomistic simulation study
Published in Acta materialia (09-07-1999)“…Atomic-scale computer simulation was used to study grain-boundary trijunctions, which are defined as the intersection of three grain boundaries. The simulation…”
Get full text
Journal Article -
8
Crystal shapes and phase equilibria : A common mathematical basis
Published in Metallurgical and materials transactions. A, Physical metallurgy and materials science (01-06-1996)“…Geometrical constructions, such as the tangent construction on the molar free energy for determining whether a particular composition of a solution is stable,…”
Get full text
Conference Proceeding Journal Article -
9
A phase-field model for diffusion-induced grain-boundary motion
Published in Acta materialia (01-10-1997)“…We model diffusion-induced grain boundary motion (DIGM) with a pair of differential equations: [Display omitted] Here u represents the concentration of solute…”
Get full text
Journal Article -
10
Motion by curvature and impurity drag: resolution of a mobility paradox
Published in Acta materialia (01-08-2000)“…We rederive and explain the paradoxical prediction, confirmed by experiment, that the normal velocity, V , of a curved antiphase domain boundary (APB) in an…”
Get full text
Journal Article -
11
A unified approach to motion of grain boundaries, relative tangential translation along grain boundaries, and grain rotation
Published in Acta materialia (20-09-2004)“…We postulate that almost any motion of an interface between two crystals can produce a coupled tangential motion of the two crystals relative to each other…”
Get full text
Journal Article -
12
Evolution equations for phase separation and ordering in binary alloys
Published in Journal of statistical physics (01-08-1994)Get full text
Journal Article -
13
Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
Published in Physical review letters (12-11-1984)“…A metallic solid (Al--14 at.% Mn) with long-range orientational order, but with icosahedral point group symmetry, which is inconsistent with lattice…”
Get full text
Journal Article -
14
On the co-existence and stability of trijunctions and quadrijunctions in a simple model
Published in Acta materialia (10-12-1999)“…Junctions of four domain walls (quadrijunctions) are shown to be stable in Ising-type ordering models with weak first and strong second neighbor interactions…”
Get full text
Journal Article -
15
Variational methods for microstructural-evolution theories
Published in JOM (1989) (01-12-1997)“…Recent progress in variational methods helps to provide general principles for microstructural evolution. Especially when several processes are interacting,…”
Get full text
Journal Article -
16
Anisotropy of interfaces in an ordered alloy: a multiple–order–parameter model
Published in Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences (15-09-1997)“…ad hoc…”
Get full text
Journal Article -
17
Shape of hollow dislocation cores: anisotropic surface energy and elastic effects
Published in Scripta materialia (04-08-1998)“…Equilibrium morphologies are frequently determined by a competition between interfacial and elastic energies. Holes at the cores of dislocations in materials…”
Get full text
Journal Article Conference Proceeding -
18
Solid–liquid equilibrium for non-hydrostatic stress
Published in Acta materialia (05-04-2004)“…We examine Gibbs’ conditions for equilibrium of a non-hydrostatically stressed single component solid in equilibrium across one of its faces with a pure liquid…”
Get full text
Journal Article -
19
SPATIALLY DISCRETE NONLINEAR DIFFUSION EQUATIONS
Published in The Rocky Mountain journal of mathematics (1995)“…We consider spatially discrete nonlinear diffusion equations that are similar in form to the Cahn-Hilliard and Cahn-Allen equations. Since these equations are…”
Get full text
Journal Article -
20
Wetting and non-wetting near critical points in solids
Published in Physica A (01-05-2000)“…A phenomenological qualitative theory of elastic effects is used to examine wetting near critical points in the solid state…”
Get full text
Journal Article