A nice pedagogical paper from Eshelby

A simple derivation of the elastic field of an edge dislocation

J D Eshelby 1966 Brit. J. Appl. Phys. Vol. 17 1131 — 1135

Abstract:

The elastic field of an edge dislocation is found in a simple manner by making use of the relation between an edge dislocation and a `wedge’ dislocation made by inserting or removing a narrow wedge of material.

Notes:

Eshelby, using his usual cutting and welding operations, motivates a simple derivation for the displacement around an edge dislocation in an infinite isotropic material, which, to use his own expression, have the rather forbidding expression:

Not surprisingly, the idea of the wedge dislocation itself seems to have its origins in his 1951 paper in Phil. Trans. A (Vol. 244, 87–112).

The four page paper is a pleasure to read; I am enjoying the experience thoroughly. Once I finish, I will find some time to summarise the details of the derivation in this page.

In the meanwhile, have fun, if you have access to British Journal of Applied Physics.

Some special issues of philosophical magazine

Here is a list of some special issues of philosophical magazine of interest (to me, that is):

1. Density based modelling of dislocations — Vol. 87, Issue 8 & 9, 2007
2. 50 years of TEM of dislocations –  Vol. 86, Issue 29 — 31, 2006
3. Celebrating the career in crystal plasticity of F R N Nabarro, FRS — Vol. 86, Issue 25 & 26, 2006
4. Frontiers in solidification science — Vol. 86, Issue 24, 2006
5. Recent advances in theoretical mechanics — Vol. 85, Issue 33 — 35, 2005
6. International symposium on in-situ electron microscopy — Vol. 84, Issue 25 & 26, 2004
7. Multiscale modelling of nano- and micro-mechanics of materials — Vol. 83, Issue 31 — 34, 2003

Grain boundary migration

Low angle tilt boundary migration coupled to shear deformation

D A Molodov, V A Ivanov, and G Gottstein

Acta Materialia, Volume 55, Issue 5,March 2007, Pages 1843-1848

Abstract:

The shear stress induced migration of planar tilt grain boundaries in Al bicrystals was observed to be perfectly coupled to the lateral translation of grains. Boundaries with misorientations of 10.5° and 12.0° on one side of the misorientation range (0–90°) and 81.0° and 81.1° on its other side move in opposite directions under the same applied external stress. The measured ratios of the normal to the lateral motion comply perfectly with the coupling factors of a recently proposed model of boundary motion.

Note(s):

• “The recently proposed model” in the abstract is J.W. Cahn, Y. Mishin and A. Suzuki, Philos Mag 86 (2006), p. 3965.