Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A distributional approach to the geometry of dislocations at the
  mesoscale   We develop a theory to represent dislocated single crystals at the mesoscopic
scale by considering concentrated effects, governed by the distribution theory
combined with multiple-valued kinematic fields. Our approach gives a new
understanding of the continuum theory of defects as developed by Kroener (1980)
and other authors. Fundamental 2D identities relating the incompatibility
tensor to the Frank and Burgers vectors are proved under global strain
assumptions relying on the geometric measure theory, thereby giving rise to
rigorous homogenisation from mesoscopic to macroscopic scale.

8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess