New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates

2014 ◽  
Vol 140 (2) ◽  
pp. 374-383 ◽  
Author(s):  
Habib Hebali ◽  
Abdelouahed Tounsi ◽  
Mohammed Sid Ahmed Houari ◽  
Aicha Bessaim ◽  
El Abbes Adda Bedia
Keyword(s):  
Free Vibration ◽  
Shear Deformation ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Functionally Graded Plates

scholarly journals Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite element method

2016 ◽  
Vol 54 (3) ◽  
pp. 402 ◽  
Author(s):  
Tran Huu Quoc ◽  
Tran Minh Tu ◽  
Nguyen Van Long
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Free Vibration ◽  
Shear Deformation ◽  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Functionally Graded Plates

In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite element method. The theory based on full twelve-unknown higher order shear deformation theory, simultaneously satisfy zeros transverse stresses at top and bottom surface of FG plates. A four-node rectangular element with sixteen degrees of freedom per node is used. Poisson’s ratios, Young’s moduli and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power law functions. Results are verified with available results in the literature. Parametric studies are performed for different power law index, side-to-thickness ratios.

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