Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The effect of a curvature-dependent surface tension on the singularities
  at the tips of a straight interface crack   A problem of an interface crack between two semi-planes made out of different
materials under an action of an in-plane loading of general tensile-shear type
is treated in a semi-analytical manner with the help of Dirichlet-to-Neumann
mappings. The boundaries of the crack and the interface between semi-planes are
subjected to a curvature-dependent surface tension. The resulting system of six
singular integro-differential equations is reduced to the system of three
Fredholm equations. It is shown that the introduction of the
curvature-dependent surface tension eliminates both classical integrable power
singularity of the order 1/2 and an oscillating singularity present in a
classical linear elasticity solutions. The numerical results are obtained by
solving the original system of singular integro-differential equations by
approximating unknown functions with Taylor polynomials.

18
The categories of this paper are: econ
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol