An efficient C0 finite element modeling of an inverse hyperbolic shear deformation theory for the flexural and stability analysis of laminated composite and sandwich plates

2014 ◽  
Vol 80 ◽  
pp. 11-22 ◽  
Author(s):  
Neeraj Grover ◽  
D.K. Maiti ◽  
B.N. Singh
Keyword(s):  
Finite Element ◽  
Stability Analysis ◽  
Finite Element Modeling ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Sandwich Plates ◽  
Element Modeling

Free vibration and buckling characteristics of laminated composite and sandwich plates implementing a secant function based shear deformation theory

2014 ◽  
Vol 229 (3) ◽  
pp. 391-406 ◽  
Author(s):  
Neeraj Grover ◽  
Bhrigu N Singh ◽  
Dipak K Maiti
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Present Theory ◽  
Sandwich Plates ◽  
Element Analysis ◽  
Buckling Behavior

A generalized finite element modeling of recently developed secant function based shear deformation theory is formulated and implemented for free vibration and buckling characteristics of laminated-composite and sandwich plates. The shear deformation is expressed in terms of a secant function of thickness coordinate. The theory inherently satisfies the zero transverse shear conditions on top and bottom surfaces of the plate. An eight-noded C0 continuous element is chosen by an adequate choice of nodal field variables. The governing equations are obtained for the free vibration and buckling responses of laminated-composite and sandwich plates. Intensive numerical experiments are conducted to investigate the influence of span-thickness ratio, boundary conditions, etc. on the free vibration and buckling behavior. The comparison of present results with the published results indicates the performance and range of applicability of the present theory in the framework of finite element analysis.

A Finite Element Modeling of Higher Order Shear Deformation Theory on a Plate Vibration Problem

1991 ◽  
Author(s):  
Chiang-Nan Chang ◽  
Thien-Rhei Chen
Keyword(s):  
Finite Element ◽  
Finite Element Modeling ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Plate Theory ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Plate Vibration ◽  
Element Modeling ◽  
Plate Vibration Problem

Abstract Higher order Shear Defamation Plate Theories (HSDPT) are improved theories over Mindlin plate theory because their assumptions are closer to reality. However, they are seldom used in solving ordinary engineering works. This is due to the fact that mathematical formulations and computations are so lengthy that time and efforts required are close to solving a exact 3-D model. For problems involving sharp stress variation, higher order theories are anticipated to give better results. The combination of HSDPT and Finite Element Modelings are especially attractive because a finite element modeling is much simpler. The current research develops a finite element model on the higher order shear deformation theory. A plate vibration problem was solved. The plates contain square interior cutout. Stress distributions are much complicated than whole plates. Results of HSDPT are compared with FSDPT (First order Shear Deformation Plate Theories) and CPT (Classical Plate Theory). Better accuracies are obtained by using the HSDPT.

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