Three-Dimensional Stress and Free Vibration Analyzes of Functionally Graded Plates with a Circular Hole by the Use of the Graded Finite Element Method

2016 ◽  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Vibration ◽  
Circular Hole ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Graded Finite Element Method ◽  
Element Method

Three-dimensional static analysis of thick functionally graded plates using graded finite element method

2013 ◽  
Vol 228 (8) ◽  
pp. 1275-1285 ◽  
Author(s):  
Hassan Zafarmand ◽  
Mehran Kadkhodayan
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Power Law ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Published Data ◽  
Power Law Distribution ◽  
Various Boundary Conditions ◽  
Graded Finite Element Method ◽  
Element Method

In this paper, a thick functionally graded plate based on three-dimensional equations of elasticity and subjected to nonuniform transverse loading is considered. The Young’s modulus of the plate is assumed to be graded in the thickness direction according to a simple power law distribution in terms of the volume fractions of the constituents and the Poisson’s ratio is assumed to be constant. Three-dimensional graded finite element method based on Rayleigh–Ritz energy formulation has been applied to study the static response of the plate. The plate deflection and in-plane stress for different values of the power law exponent, thickness-to-length ratio, and various boundary conditions have been investigated. To verify the presented method and data, the results are compared to published data.

Sign in / Sign up

Export Citation Format

Share Document