Examination of the plate twist specimen for thick specially orthotropic laminated composites and sandwich plates by using first-order shear deformation theory

2017 ◽  
Vol 21 (7) ◽  
pp. 2239-2265
Author(s):  
R. Guillén-Rujano ◽  
A. Hernández-Pérez ◽  
F. Avilés
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Theory Approach ◽  
First Order ◽  
Aspect Ratios ◽  
Good Agreement ◽  
Element Method

Analytical (closed-form) solutions are developed for the deflections and rotations of thick specially orthotropic plate twist specimens by using first-order shear deformation theory. Results are compared with outcomes from finite element method, previously reported experiments, and a classical laminated plate theory solution. A [(0/90)6]s cross-ply laminate and a sandwich panel with aluminum face sheets and a polyvinyl chloride (PVC) foam core are used as baseline materials. Overall, good agreement between first-order shear deformation theory and finite element method is obtained for compliance predictions. It is found that the proposed first-order shear deformation theory approach can be used to adequately calculate the deflections of specially orthotropic plates from low to moderately high side length to thickness ratios [Formula: see text]. Examination of the in-plane shear modulus ratio between face sheets and core ([Formula: see text]) points out that first-order shear deformation theory slightly underpredicts the compliance with respect to finite element method, specially for [Formula: see text] ratios larger than 100. Both solutions based on plate theories are suitable to estimate the compliance of cross-ply laminates with moderate [Formula: see text] ratios ([Formula: see text]). First-order shear deformation theory is able to properly predict the compliance of square and rectangular laminates with aspect ratios lower than 10. Good agreement between published compliance measurements and those predicted by first-order shear deformation theory is found for Maple plywoods, monolithic metals, and specially orthotropic sandwich panels.

Analysis of bi-directional functionally graded sandwich plates via higher-order shear deformation theory and finite element method

2021 ◽  
pp. 109963622110258
Author(s):  
Pham Van Vinh
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Higher Order ◽  
Functionally Graded ◽  
Shear Stresses ◽  
Sandwich Plates ◽  
Element Method

This paper introduces a comprehensive investigation of bi-directional functionally graded sandwich plates using higher-order shear deformation theory and finite element method for the first time. A special procedure incorporating with a bi-linear four-node quadrilateral element is used to treat the free condition of shear stresses on two surfaces of the sandwich plates. Four types of the bi-directional functionally graded sandwich plates with several thickness ratios of layers are considered, in which the material properties of the layers are assumed to vary in both the thickness and the in-plane directions. The present results are compared with published data in some special cases to demonstrate the convergence and accuracy of the present algorithm. The investigations show that the variation of the material ingredients and properties, the boundary conditions, the thickness ratio of layers play significant roles on the bending, free vibration and buckling behaviors of bi-directional functionally graded sandwich plates.

Vibrational Characteristics of Composite Shafts

1999 ◽  
Author(s):  
A. S. Sekhar ◽  
N. Ravi Kumar
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Deformation Theory ◽  
Great Influence ◽  
Shear Deformation Theory ◽  
Stacking Sequence ◽  
Shell Elements ◽  
First Order ◽  
Composite Shaft ◽  
Vibrational Characteristics

Abstract The present study aims in performing eigenvalue analysis and unbalance response for a rotor system having a composite shaft, modelled based on first order shear deformation theory using finite element method with shell elements. Different materials such as boron epoxy, carbon epoxy and graphite epoxy have been tried for various stacking sequences. From the study it is clear that the stacking sequence and material have great influence on the vibrational characteristics of composite shafts.

scholarly journals First Order Shear Deformation Theory access for the stress research of CNT/Polymer Laminated Composite Plates

2019 ◽  
Vol 8 (6) ◽  
pp. 3736-3740
Keyword(s):  
Carbon Nanotube ◽  
Shear Deformation ◽  
Polymer Composite ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Composite Plates ◽  
Theory Approach ◽  
Laminated Composite Plates ◽  
First Order

In the design of structural elements like shells, beams, and plates the analysis of stresses is one of the primary and most important considerations. The intention of the current research is to perform a study on stress behavior of laminated polymer composite plates reinforced with carbon nanotube(CNT). A theoretical first order shear deformation theory approach is executed on simply supported laminated composite plates subjected to uniformly distributed loads to study the effect of shear deformation on in-plane and transverse stresses. The numerical results are presented for symmetrical, eight layered polymer composite reinforced with Carbon Nanotube to explore the effect of various parameters like stacking sequence, the side-to-thickness ratio on stresses. The effect of carbon nanotube volume fraction and carbon nanotube radius is also investigated on stress distribution of composite plates. This study on stress analysis is conducted on plates principally to observe the structural suitability of nanocomposites.

scholarly journals A COMBINED STRAIN ELEMENT TO FUNCTIONALLY GRADED STRUCTURES IN THERMAL ENVIRONMENT

2020 ◽  
Vol 60 (6) ◽  
Author(s):  
Hoang Lan Ton-That
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Numerical Solutions ◽  
Thermal Environment ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Element Analysis ◽  
First Order ◽  
Graded Structures

Functionally graded materials are commonly used in a thermal environment to change the properties of constituent materials. They inherently withstand high temperature gradients due to a low thermal conductivity, core ductility, low thermal expansion coefficient, and many others. It is essential to thoroughly study mechanical responses of them and to develop new effective approaches for an accurate prediction of solutions. In this paper, a new four-node quadrilateral element based on a combined strain strategy and first-order shear deformation theory is presented to achieve the behaviour of functionally graded plate/shell structures in a thermal environment. The main notion of the combined strain strategy is based on the combination of the membrane strain and the shear strain related to tying points as well as bending strain with respect to a cell-based smoothed finite element method. Due to the finite element analysis, the first-order shear deformation theory (FSDT) is simple to implement and apply for structures, but the shear correction factors are used to achieve the accuracy of solutions. The author assumes that the temperature distribution is uniform throughout the structure. The rule of mixtures is also considered to describe the variation of material compositions across the thickness. Many desirable characteristics and the enforcement of this element are verified and proved through various numerical examples. Numerical solutions and a comparison with other available solutions suggest that the procedure based on this new combined strain element is accurate and efficient.

Geometrically nonlinear finite element simulation of smart laminated shells using a modified first-order shear deformation theory

2019 ◽  
Vol 30 (4) ◽  
pp. 517-535 ◽  
Author(s):  
Hanen Mallek ◽  
Hanen Jrad ◽  
Mondher Wali ◽  
Fakhreddine Dammak
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Piezoelectric Materials ◽  
Shear Deformation Theory ◽  
Nonlinear Finite Element ◽  
Shear Stresses ◽  
Geometrically Nonlinear ◽  
Element Analysis ◽  
First Order

This article investigates geometrically nonlinear and linear analysis of multilayered shells with integrated piezoelectric materials. An efficient nonlinear shell element is developed to solve piezoelastic response of laminated structure with embedded piezoelectric actuators and sensors. A modified first-order shear deformation theory is introduced in the present method to remove the shear correction factor and improve the accuracy of transverse shear stresses. The electric potential is assumed to be a linear function through the thickness of each active sub-layer. Several numerical tests for different piezolaminated geometries are conducted to highlight the reliability and efficiency of the proposed implementation in linear and geometrically nonlinear finite element analysis.

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