Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Correlation between microstructure deflections and film/substrate
  curvature under generalized stress fields   In this article we develop an analytical theory that correlates the
macroscopic curvature of stressed film/substrate systems with the microscopic
in-plane and out-of-plane deflections of planar rotators. Extending this
stress-deflection relations in the case of nonlinear stress fields and
validating the results with the aid of finite element simulations. We use this
theory to study the heteroepitaxial growth of cubic silicon carbide on silicon
(100) and discover that due, to defects generated on the silicon substrate
during the carbonization process, wafer curvature techniques may not allow the
determination of the stress field in the grown films either quantitatively or
qualitatively.

9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an