Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Shariyat, M.

doi:10.1590/1679-78253413

Cited by 25 publications

(9 citation statements)

References 54 publications

(43 reference statements)

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“…The mechanical behaviors such as static bending, bucking load, dynamic response and vibration are studied a lot. Shariyat and Alipour [3] investigated bending and stress analysis of variable thickness FGM auxetic conical/cylindrical shells with general tractions (using first-order shear-deformation theory and ABAQUS finite element analysis code). The only published paper on stress analysis of the auxetic structures was due to Alipour and Shariyat [4] who developed analytical zigzag solutions with 3D elasticity corrections for bending and stress analysis of circular/annular composite sandwich plates with auxetic cores.…”

Section: Introductionmentioning

confidence: 99%

“…From above literature review, in [3][4][5] the authors conducted bending and stress analysis auxetic structures using first-order shear strain theory and finite element method while in [6][7][8][9][10], an analytical method and (first or higher) order shear deformation theory were proposed to study dynamic response and vibration of auxetic plate and shell structures.…”

Section: Introductionmentioning

confidence: 99%

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Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

Cong¹,

Phuc²,

Thiem³

et al. 2020

NST

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In this paper, a finite element method (FEM) and a new third-order shear deformation plate theory are proposed to investigate a static bending model of auxetic plates with negative Poisson’s ratio. The three – layer sandwich plate is consisted of auxetic honeycombs core layer with negative Poisson’s ratio integrated, isotropic homogeneous materials at the top and bottom of surfaces. A displacement-based finite element formulation associated with a novel third-order shear deformation plate theory without any requirement of shear correction factors is thus developed. The results show the effects of geometrical parameters, boundary conditions, uniform transverse pressure on the static bending of auxetic plates with negative Poisson’s ratio. Numerical examples are solved, then compared with the published literatures to validate the feasibility and accuracy of proposed analysis method. Keywords: Static bending; New third-order shear deformation plate theory; Auxetic material.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

Cong¹,

Phuc²,

Thiem³

et al. 2020

NST

View full text Add to dashboard Cite

show abstract

“…The plate is subjected to both normal and shear tractions and supported by compliant edge restraints. This type of the general more realistic loading has been considered by a limited number of the researchers [30][31][32][33] so far. The origin of the global coordinate system is coincident with the mid-plane of the initial configuration of the plate.…”

Section: Governing Equations Of the Multilayer/sandwich Circular Plate With Fg Layersmentioning

confidence: 99%

Localized and overall interaction effects of irregular interfacial bonds and elastic edge restraints for sandwich and functionally graded multilayer circular plates with normal/shear tractions

Shariyat

2019

Jnl of Sandwich Structures & Materials

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In the present article, interactions of the effects of the interfacial bond's irregularity, shear and normal tractions, and flexible edge supports on the distributions of the lateral deflections and stress of the laminated/sandwich circular plates are investigated, for the first time. To widen the applicability of the research, the layers are assumed to be functionally graded ones. A layerwise model that unlike the traditional layerwise theories, not only guarantees continuity of the transverse stress components but also takes into account the discontinuity of all of the displacement components at the imperfect or damaged bonds between layers is proposed. The governing equations are derived based on the principle of minimum potential energy and solved based on the Maclaurin transformation analytical method. Results are enhanced through a threedimensional elasticity correction. Results reveal that while compliance of the edge restraint has a significant role on the magnitude of the global displacements, amount of the discontinuities in the displacement components at the mutual interfaces is mainly

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“…The effect of the main parameters of the problem on the vibration behavior was discussed. A review of the recent research on the analysis of the shells of revolution with variable wall thickness shows that due to the complexity of equations, mostly analyses in this field have been elastic (Ghafoori and Asghari, 2012; Ghannad et al, 2009, 2013; Nasrekani and Eipakchi, 2014; Shariyat and Alipour, 2017; Zamani Nejad et al, 2014, 2015a, 2015b) or thermos-elastic for the shells of revolution with variable wall thickness in typical FG materials (Jabbari et al, 2017; Zamani Nejad et al, 2017a), mainly with assumptions for simplifying the problem solving. Using classical eigenvalue problem method, the equations were solved and the results are provided along the axial and radial directions for electro-elastic behavior.…”

Section: Introductionmentioning

confidence: 99%

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

Yaghoobi

Ghannad

2020

Journal of Intelligent Material Systems and Structures

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In this research, an analytical solution is presented for the functionally graded piezoelectric cylindrical variable wall thickness that is subjected to mechanical and electrical loading. The non-homogeneous distribution of materials is considered as a power function. The first-order electric potential theory, first-order shear deformation theory, and the energy method are used for extracting the system of governing equations. The solution is accomplished using the matched asymptotic expansion method of the perturbation technique. The effects of non-homogeneous properties on the electromechanical are discussed. Since the intensity of variations in the distribution of properties in functionally graded piezoelectric cylinders can be changed using non-homogeneity constant, the electromechanical behavior of the cylinder can be changed by non-homogeneity constant. By reducing the electric or displacement field in functionally graded piezoelectric cylinders, de-polarization or loss of piezoelectric properties may be averted. Results indicate that non-homogeneity constant has a significant effect on the electromechanical behavior. However, in some cases, the effects of non-homogeneity constant may be neglected. Comparing these results with those predicted by the plane elasticity theory and finite element method shows good agreement. In fact, the present solution can be considered as an objective function to optimize the properties and behavior.

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Analytical Bending and Stress Analysis of Variable Thickness FGM Auxetic Conical/Cylindrical Shells with General Tractions

Cited by 25 publications

References 54 publications

Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

Static Bending Analysis of Auxetic Plate by FEM and a New Third-Order Shear Deformation Plate Theory

Localized and overall interaction effects of irregular interfacial bonds and elastic edge restraints for sandwich and functionally graded multilayer circular plates with normal/shear tractions

Electro-elastic analysis of functionally graded piezoelectric variable thickness cylindrical shells using a first-order electric potential theory and perturbation technique

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