Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theoretical Analysis of Functionally Graded Piezoelectric Thick-walled
  Cylinder Subjected to Mechanical and Electric Loadings   In this paper, the theoretical analysis for a hollow thick-walled
functionally graded piezoelectric cylinder subjected to electric and mechanical
loads are developed. The cylinder consists of two materials (PZT4 and PVDF) and
the volume fraction of PZT4 is given in the three variable parameters power law
form. By using the Voigt method and the assumption of a uniform strain field
within the two linear elastic constituents, the complex hypergeometric
differential equation of the radial displacement is obtained. Then the
solutions of the radial displacement, the stresses, and the electric potential
are derived and solved. The method in this paper is more suitable for actual
engineering gradient piezoelectric materials, and the volume fraction function
can cover more complicated situations. Finally, the influence of the parameter
n in volume fraction on the mechanical behaviors are investigated, and the
difference between the circumferential and radial stresses is discussed to
reduce the stress concentration in the functionally graded piezoelectric
cylinder.

7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph