Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An action for nonlinear dislocation dynamics   An action functional is developed for nonlinear dislocation dynamics. This
serves as a first step towards the application of effective field theory in
physics to evaluate its potential in obtaining a macroscopic description of
dislocation dynamics describing the plasticity of crystalline solids.
Connections arise between the continuum mechanics and material science of
defects in solids, effective field theory techniques in physics, and fracton
tensor gauge theories.
  The scheme that emerges from this work for generating a variational principle
for a nonlinear pde system is general, as is demonstrated by doing so for
nonlinear elastostatics involving a stress response function that is not
necessarily hyperelastic.

6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex