Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boundary element method for normal non-adhesive and adhesive contacts of
  power-law graded elastic materials   Recently proposed formulation of the Boundary Element Method for adhesive
contacts has been generalized for contacts of functionally graded materials
with and without adhesion. First, proceeding from the fundamental solution for
single force acting on the surface of a half space with a power-law varying
elastic modulus, the deformation produced by constant pressure acting on a
rectangular element was calculated and the influence matrix was obtained for a
rectangular grid. The inverse problem for the calculation of required stress in
contact area from a known surface deformation was solved by use of
conjugate-gradient technique. For the transformation between the stresses and
displacements, the Fast Fourier Transformation is used which drastically
reduces the computation time. For the adhesive contact of graded material, the
detachment criterion based on the method of Pohrt and Popov was proposed. A
number of numerical test for the problem having exact analytical solution have
been carried out confirming the correctness of underlying ideas and numerical
implementation.

18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs