Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong Influence of a Small Fiber on Shear Stress in Fiber-Reinforced
  Composites   In stiff fiber-reinforced material, the high shear stress concentration
occurs in the narrow region between fibers. With the addition of a small
geometric change in cross-section, such as a thin fiber or a overhanging part
of fiber, the concentration is significantly increased. This paper presents
mathematical analysis to explain the rapidly increased growth of the stress by
a small particle in cross-section. To do so, we consider two crucial cases
where a thin fiber exists between a pair of fibers, and where one of two fibers
has a protruding small lump in cross-section. For each case, the optimal lower
and upper bounds on the stress associated with the geometrical factors of
fibers is established to explain the strongly increased growth of the stress by
a small particle.

15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess