Elastic Analysis for Thick-Walled Tubes of Functionally Graded Material Subjected to Internal Pressure

Fukui, Yasuyoshi; Yamanaka, Noboru

doi:10.1299/jsmea1988.35.4_379

Cited by 46 publications

(28 citation statements)

References 2 publications

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“…Functionally Graded Materials (FGMs) [1][2][3] have been investigated and developed during past three decades. FGM is often a mixture of two distinct material phases: e.g.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Tran

Lý

Lee

et al. 2015

International Journal of Mechanical Sciences

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Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach, International Journal of Mechanical Sciences, http://dx.doi.org/10.1016/j.ijmecsci. 2015.03.003 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its final citable form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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“…Functionally Graded Materials (FGMs) [1][2][3] have been investigated and developed during past three decades. FGM is often a mixture of two distinct material phases: e.g.…”

Section: Introductionmentioning

confidence: 99%

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Tran

Lý

Lee

et al. 2015

International Journal of Mechanical Sciences

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“…φ x and φ y denote the rotations about the x and y axes, respectively. Considering the kinematical relations for small deformations, one can describe the relationship between the strains and the displacements by: ϵ = [ϵ xx , ϵ yy , γ xy ] T ϵ 0 + zκ 1 ; γ = [γ xz , γ yz ] T ϵ s (4) where ϵ 0 = [u 0,x , v 0,y , u 0,y + v 0,x ] T , κ 1 = [ϕ x,x , ϕ y,y , ϕ x,y + ϕ y,x ] T and ϵ s = [ϕ x + w 0,x , ϕ y + w 0,y ] T .…”

Section: First-order Shear Deformation Theorymentioning

confidence: 99%

“…A dual-phase material was assumed to be isotropic, having a distribution that varies through-the-thickness according to the exponent power law. In addition, Fukui and Yamanaka [4] functions to model the behaviour of a generic structure.…”

Section: Introductionmentioning

confidence: 99%

A study on the structural behaviour of FGM plates static and free vibrations analyses

Bernardo

Damásio

Silva

et al. 2016

Composite Structures

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“…Moreover, this theory requires no shear correction factors. Fukui and Yamanaka (1992) the Navier solution to derive the governing equation for a thick-walled FGM tube under internal pressure and solved the equations obtained numerically by means of the Runge-Kutta method. Eipakchi et al (2003) investigated the governing equations of homogeneous cylinders with variable thickness, using FSDT and presented the solution of the equations, using perturbation theory.…”

Section: Introductionmentioning

confidence: 99%

Thermo-Elastic Analysis of Clamped-Clamped Thick FGM Cylinders by Using Third-Order Shear Deformation Theory

Gharooni

Ghannad

Nejad

2016

Lat. Am. j. solids struct.

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Using the third-order shear deformation theory (TSDT), an analytical solution for deformations and stresses of axisymmetric clamped-clamped thick cylindrical shells made of functionally graded material (FGM) subjected to internal pressure and thermal loading are presented. The material properties are graded along the radial direction according to power functions of the radial direction. It is assumed that Poisson's ratio is constant across the cylinder thickness. The differential equations governing were generally derived, making use of TSDT. Following that, the set of non-homogenous linear differential equations for the cylinder with clamped-clamped ends was solved, and the effect of loading and supports on the stresses and displacements was investigated. The problem was also solved, using the finite element method (FEM), and the results of which were compared with those of the analytical method. Furthermore, the effect of increases in the temperature gradient on displacement and stress values has been studied. Finally, in order to investigate the effect of third-order approximations on displacements and stresses, a comparison between the results of first-and third-order shear deformation theory has been made.

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Elastic Analysis for Thick-Walled Tubes of Functionally Graded Material Subjected to Internal Pressure

Cited by 46 publications

References 2 publications

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

Vibration analysis of cracked FGM plates using higher-order shear deformation theory and extended isogeometric approach

A study on the structural behaviour of FGM plates static and free vibrations analyses

Thermo-Elastic Analysis of Clamped-Clamped Thick FGM Cylinders by Using Third-Order Shear Deformation Theory

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