Vibration characteristics of plates and shells with functionally graded pores imperfections using an enhanced finite shell element

2021 ◽  
Vol 99 ◽  
pp. 52-72
Author(s):  
S. Zghal ◽  
F. Dammak
Keyword(s):  
Shell Element ◽  
Vibration Characteristics ◽  
Functionally Graded ◽  
Plates And Shells ◽  
Finite Shell

Nonlinear transient and thermal analysis of functionally graded shells using a seven-parameter shell finite element

2017 ◽  
Vol 1 (2) ◽  
Author(s):  
Miguel Gutierrez Rivera ◽  
J. N. Reddy
Keyword(s):  
Finite Element ◽  
Mechanical Response ◽  
Volume Fraction ◽  
Shear Deformation Theory ◽  
Shell Element ◽  
Element Model ◽  
Functionally Graded ◽  
Plates And Shells ◽  
Shell Finite Element ◽  
Transient Thermal

AbstractIn this paper the thermo-mechanical response of functionally graded plates and shells is studied using a continuum shell finite element model with high-order spectral/hp basis functions. The shell element is based on the seven-parameter first-order shear deformation theory, and it does not utilize reduced integration or stabilization ideas and yet exhibits no locking. The static and dynamic response of functionally graded shells, with power-law variation of the constituents, under mechanical and thermal loads is investigated by varying the volume fraction of the constituents. Numerical results for deflections and stresses are presented and compared with available analytical and finite element results from the literature. The performance of the shell element for transient thermal problems is found to be excellent.

MECHANICAL VIBRATION AND BUCKLING ANALYSIS OF FGM PLATES AND SHELLS USING A FOUR-NODE QUASI-CONFORMING SHELL ELEMENT

2008 ◽  
Vol 08 (02) ◽  
pp. 203-229 ◽  
Author(s):  
SUNG-CHEON HAN ◽  
GILSON RESCOBER LOMBOY ◽  
KI-DU KIM
Keyword(s):  
Numerical Solutions ◽  
Volume Fraction ◽  
Mechanical Vibration ◽  
Shear Deformation Theory ◽  
Homogeneous Element ◽  
Shell Element ◽  
Functionally Graded ◽  
Sigmoid Function ◽  
Rectangular Plates ◽  
Plates And Shells

In this paper, we investigate the natural frequencies and buckling loads of functionally graded material (FGM) plates and shells, using a quasi-conforming shell element that accounts for the transverse shear strains and rotary inertia. The eigenvalues of the FGM plates and shells are calculated by varying the volume fraction of the ceramic and metallic constituents using a sigmoid function, but the Poisson ratios of the FGM plates and shells are assumed to be constant. The expressions for the membrane, bending and shear stiffness of FGM shell elements are more a complicated combination of material properties than a homogeneous element. In order to validate the finite element numerical solutions, the Navier solutions for rectangular plates based on the first order shear deformation theory are also presented. The present numerical solutions for composite and sigmoid FGM (S-FGM) plates and shells are verified by the Navier solutions and various examples of composite and FGM structures. The present results are in good agreement with the Navier theoretical solutions.

Vibration of Initially Stressed Functionally Graded Material Plates and Shells

2014 ◽  
Vol 684 ◽  
pp. 158-164 ◽  
Author(s):  
Sugirtha Singh J. Monslin ◽  
Thangaratnam R. Kari
Keyword(s):  
Finite Element ◽  
Functionally Graded Material ◽  
Volume Fraction ◽  
Shell Element ◽  
Functionally Graded ◽  
Element Formulation ◽  
Vibration Frequencies ◽  
Functionally Graded Plates ◽  
Graded Material ◽  
Plates And Shells

Finite element formulation using semiloof shell element for initially stressed vibration of Functionally Graded Material (FGM) plates and shells are presented. The influence of volume fraction index on the vibration frequencies of thin functionally graded plates and shells and variation of temperature on frequency are studied. New results are presented for initially stressed vibration of FGM plates and shells.

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