TY - JOUR
T1 - Linear free flexural vibration of cracked functionally graded plates in thermal environment
AU - Natarajan, Sundararajan
AU - Baiz, Pedro M.
AU - Ganapathi, M.
AU - Kerfriden, P.
AU - Bordas, S.
PY - 2011/8
Y1 - 2011/8
N2 - In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and graded in the thickness direction. The effective material properties are estimated using the Mori-Tanaka homogenization scheme. The formulation is developed based on first-order shear deformation theory. The shear correction factors are evaluated employing the energy equivalence principle. The variation of the plates natural frequency is studied considering various parameters such as the crack length, plate aspect ratio, skew angle, temperature, thickness and boundary conditions. The results obtained here reveal that the natural frequency of the plate decreases with increase in temperature gradient, crack length and gradient index.
AB - In this paper, the linear free flexural vibrations of functionally graded material plates with a through center crack is studied using an 8-noded shear flexible element. The material properties are assumed to be temperature dependent and graded in the thickness direction. The effective material properties are estimated using the Mori-Tanaka homogenization scheme. The formulation is developed based on first-order shear deformation theory. The shear correction factors are evaluated employing the energy equivalence principle. The variation of the plates natural frequency is studied considering various parameters such as the crack length, plate aspect ratio, skew angle, temperature, thickness and boundary conditions. The results obtained here reveal that the natural frequency of the plate decreases with increase in temperature gradient, crack length and gradient index.
KW - Cracked plate
KW - Functionally graded plate
KW - Gradient index
KW - Linear vibration
KW - Ressiner-Mindlin plate
KW - Shear flexible element
UR - http://www.scopus.com/inward/record.url?scp=79958160310&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2011.04.002
DO - 10.1016/j.compstruc.2011.04.002
M3 - Article
AN - SCOPUS:79958160310
SN - 0045-7949
VL - 89
SP - 1535
EP - 1546
JO - Computers and Structures
JF - Computers and Structures
IS - 15-16
ER -