TY - JOUR
T1 - A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates
AU - Daouadji , Tahar Hassaine
AU - Tounsi , Abdelouahed
AU - Adda Bedia , El Abbes
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 351
EP - 364
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.11-m11176
UR - https://global-sci.org/intro/article_detail/aamm/74.html
KW - Functionally graded material, power law index, volume fraction, higher-order shear
deformation theory, Navier solution.
AB - <p style="text-align: justify;">In this paper, a new displacement based high-order shear deformation theory is introduced
for the static response of functionally graded plate. Unlike any other theory, the number
of unknown functions involved is only four, as against five in case of other shear deformation
theories. The theory presented is variationally consistent, has strong similarity with
classical plate theory in many aspects, does not require shear correction factor, and
gives rise to transverse shear stress variation such that the transverse shear stresses
vary parabolically across the thickness satisfying shear stress free surface conditions.
The mechanical properties of the plate are assumed to vary continuously in the thickness
direction by a simple power-law distribution in terms of the volume fractions of the
constituents. Numerical illustrations concerned flexural behavior of FG plates with
Metal-Ceramic composition. Parametric studies are performed for varying ceramic volume
fraction, volume fraction profiles, aspect ratios and length to thickness ratios. The
validity of the present theory is investigated by comparing some of the present results
with those of the classical, the first-order and the other higher-order theories. It
can be concluded that the proposed theory is accurate and simple in solving the static
behavior of functionally graded plates.</p>