Improved finite element viscoelastic analysis of laminated structures via the enhanced first-order shear deformation theory

2017 ◽  
Vol 180 ◽  
pp. 360-377 ◽  
Author(s):  
Jang-Woo Han ◽  
Jun-Sik Kim ◽  
Maenghyo Cho
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
First Order ◽  
Viscoelastic Analysis ◽  
Laminated Structures

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.

scholarly journals Buckling of Joined Composite Conical Shells Using Shear Deformation Theory under Axial Compression

2019 ◽  
pp. 574-584
Author(s):  
Mohammad Hadi Izadi ◽  
Hosseini Hashemi Shahrokh ◽  
Moharam Habibnejad Korayem
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Axial Compression ◽  
Deformation Theory ◽  
Separation Of Variables ◽  
Shear Deformation Theory ◽  
Power Series Method ◽  
Buckling Loads ◽  
Conical Shells ◽  
First Order

This paper investigates critical buckling loads in joined conical shells under axial compression. An analytical approach has been applied to study classical linear buckling of joined cones that are made of cross-ply fiber reinforced laminates. The governing equations have been extracted using first-order shear deformation theory (FSDT), and an analytical solution has been applied to extract critical buckling loads. Accordingly, the system of partial differential equations has been solved via separation of variables using Fourier expansion and power series method. The effects of the number of layers, lamination sequences, semi-vertex angles, shell thicknesses, shell lengths and boundary conditions on the stability of joined cones have been examined. For validation, the specific examples of the present study have been compared to previous studies. Using ABAQUSE/CAE software (a FEM-based software), the results of finite element have been extracted. The present method is in good agreement with the finite element and other research results. Finally, the differences in classical shell theory (CST) of Donnell type and first-order shear deformation theory have been discussed for different shell thicknesses.

An accurate modeling of piezoelectric smart beams with first-order shear deformation theory

2015 ◽  
Vol 06 (02) ◽  
pp. 1550022
Author(s):  
Litesh N. Sulbhewar ◽  
P. Raveendranath
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Cross Section ◽  
Electric Potential ◽  
Deformation Theory ◽  
Thickness Distribution ◽  
Shear Deformation Theory ◽  
Beam Cross Section ◽  
Present Formulation ◽  
First Order

A finite element model for piezoelectric smart beam in extension mode based on First-order Shear Deformation Theory (FSDT) with an appropriate through-thickness distribution of electric potential is presented. Accuracy of piezoelectric finite element formulations depends on the selection of assumed mechanical and electrical fields. Most of the conventional FSDT-based piezoelectric beam formulations available in the literature use linear through-thickness distribution of electric potential which is actually nonlinear. Here, a novel quadratic profile of the through-thickness electric potential is proposed to include the nonlinear effects. The results obtained show that the accuracy of conventional formulations with linear through-thickness potential approximation is affected by the material configuration, especially when the piezoelectric material dominates the beam cross section. It is shown that the present formulation gives the same level of accuracy for all regimes of material configurations in the beam cross section. Also, a modified form of the FSDT displacements is employed, which utilizes the shear angle as a degree of freedom instead of section rotation. Such a FSDT displacement field shows improved performance compared to the conventional field. The present formulation is validated by comparing the results with ANSYS 2D simulation. The comparison of results proves the improved efficiency and accuracy of the present formulation over the conventional formulations.

An Analytical Study to Free Vibration Control of Composite Beams With Piezoelectric Layers Based on First Order Shear Deformation Theory

2010 ◽  
Author(s):  
Ali Abbaszadeh Bidokhti
Keyword(s):  
Finite Element ◽  
Shear Deformation ◽  
Deformation Theory ◽  
Analytical Study ◽  
Closed Loop ◽  
Vibration Suppression ◽  
Shear Deformation Theory ◽  
Composite Beams ◽  
First Order ◽  
Piezoelectric Layers

In this paper a new approach is applied to investigate the effects of piezoelectric materials on the damping properties of laminated composite beams. The active control is obtained by using an actuator and a sensor piezoelectric layer acting in a closed loop. The formulation is based on the first order shear deformation theory (FSDT). There are purely mechanical models in the literature, but only at a finite element level. Generally the electric quantities are condensed from an electromechanical finite element model. Here, an analytical study is performed to get equivalent beam equations that are of elastic type. The model is applicable. Analytical solutions are developed for simply supported composite beams with piezoelectric layers. A constant velocity feedback control algorithm is used to actively control the dynamic response of the structure through a closed loop control. Numerical results of vibration suppression effect for various locations and thickness of the piezoelectric layers, lay-up sequence, and control parameters are presented.

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