TY - JOUR
T1 - Semi-Analytical Solution for Functionally Graded Solid Circular and Annular Plates Resting on Elastic Foundations Subjected to Axisymmetric Transverse Loading
AU - Rad , A. Behravan
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 205
EP - 222
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m11104
UR - https://global-sci.org/intro/article_detail/aamm/115.html
KW - Functionally graded circular plate, elastic foundation, differential quadrature
method, state-space method.
AB - <p style="text-align: justify;">In this paper, the static analysis of functionally graded (FG) circular plates
resting on linear elastic foundation with various edge conditions is carried out by
using a semi-analytical approach. The governing differential equations are derived
based on the three dimensional theory of elasticity and assuming that the mechanical properties of the material vary exponentially along the thickness direction and
Poisson&#39;s ratio remains constant. The solution is obtained by employing the state
space method (SSM) to express exactly the plate behavior along the graded direction and the one dimensional differential quadrature method (DQM) to approximate the radial variations of the parameters. The effects of different parameters
(e.g., material property gradient index, elastic foundation coefficients, the surfaces
conditions (hard or soft surface of the plate on foundation), plate geometric parameters and edges condition) on the deformation and stress distributions of the FG
circular plates are investigated.</p>