Viscoelastic functionally graded finite element method with recursive time integration and applications to flexible pavements

2011 ◽  
Vol 36 (9) ◽  
pp. 1194-1219 ◽  
Author(s):  
Eshan V. Dave ◽  
Glaucio H. Paulino ◽  
William G. Buttlar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Flexible Pavements ◽  
Time Integration ◽  
Functionally Graded ◽  
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.

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