Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adhesive contact of a compliant sphere to an elastic coated substrate:
  the thin film limit   Experimental results for adhesive contacts on substrates coated with
elastomeric thin films have recently been obtained by C. Tardivat and L.
L\'{e}ger (J. Adhesion Sci. Technol. 15 1055-1078 (2001)) by the so-called JKR
test, which provides both adhesion energy and elastic modulus. These data show
that on substrates coated with thin films the adhesion and effective elastic
modulus of the sphere depend upon the film thickness. In keeping with the
experimental conditions, we try to interpret these data using a simple model
(E. Barthel and A. Perriot, J. Phys. D 40, 1059-1067 (2007)) in the thin film
limit, ie when the film thickness is small compared to the contact radius.
Although the film does impact the local crack tip stress field, we show that no
effect on the macroscopic contact variables is expected for the adhesion to
coated substrates in such confined geometries. The deviations from the
experimental results are ascribed to the idealized contact boundary conditions
assumed in the model.

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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: math
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph