Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational approach in dislocation theory   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.

14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org