Variational approach in dislocation theory

Details Variational approach in dislocation theory Variational approach in dislocation theory

2009-04-07

arxiv.org/abs/0904.1105v2

Philos. Mag. 90, 3679 (2010)

Physics

Condensed Matter

Materials Science

16 pages, 4 figures. Minor changes in the text and few numerical corrections. Few references also added

Scientific paper

10.1080/14786430903401073

A variational approach is presented to calculate the stress field generated by a system of dislocations. It is shown that in the simplest case, when the material containing the dislocations obeys Hooke's law the variational framework gives the same field equations as Kr\"oner's theory. However, the variational method proposed allows to study many other problems like dislocation core regularisation, role of elastic anharmonicity and dislocation--solute atom interaction. The aim of the paper is to demonstrate that these problems can be handled on a systematic manner.

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