Nonlinear transient thermo-elastic analysis of a 2D-FGM thick hollow finite length cylinder

Najibi, Amir; Talebitooti, Roohollah

doi:10.1016/j.compositesb.2016.11.055

Cited by 43 publications

(14 citation statements)

References 35 publications

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“…Substituting the unknown temperature field variable ( ) of (8) with the approximate function of (7), the residuals are minimized in a least-squares manner,…”

Section: Heat Conduction Analysis Of Fgm Objectmentioning

confidence: 99%

“…Most of these researches on FGMs have been restricted to heat conduction analyses, thermal stress analyses, thermal buckling analyses, thermal vibration, and optimization problem. Various numerical techniques, such as the finite difference method (FDM) [2,3], finite element method (FEM) [4][5][6][7], boundary element method (BEM) [8], or more recently developed meshless methods [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23], have been developed for analyzing thermal related problems and other problems. Because of the complexity of the relevant governing equation, analytical solutions are usually difficult to obtain for those arbitrary geometry and complex boundary conditions, and the exact solutions are usually obtained based on classical plate theory, first-order shear deformation theory, high-order shear deformation theory, and so on [24,25].…”

Section: Introductionmentioning

confidence: 99%

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Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least‐Square Method

Zhou

Zhang

Wang

2019

Mathematical Problems in Engineering

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The paper analyzed the thermal problem of the 2D FGM beam using meshless weighted least-square (MWLS) method. The MWLS as a meshless method is fully independent of mesh, and an approximate function was used to construct a series of linear equations to solve the unknown field variable, which avoided the troublesome task of numerical integration. The effectiveness and accuracy of the approach were illustrated by a clamped-clamped FGM beam which was subjected with interior heat source. The volume fraction of FGM beam was assumed to be given by a simple power law distribution. The effective material properties of the FGM beam were assumed to be temperature independent and calculated by Mori-Tanaka method. The results showed that a good agreement was achieved between the proposed meshless method and commercial COMSOL Multiphysics.

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“…Substituting the unknown temperature field variable ( ) of (8) with the approximate function of (7), the residuals are minimized in a least-squares manner,…”

Section: Heat Conduction Analysis Of Fgm Objectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least‐Square Method

Zhou

Zhang

Wang

2019

Mathematical Problems in Engineering

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“…Moreover, all of the studies on this structure are based on 1D material gradation. Recently, some authors have studied 2D-FGM cylindrical and cone structures, in which none of them have utilized the 3D elasticity equations to investigate the natural frequencies (Nemat-Alla, 2003; Asanjarani et al ., 2015; Najibi and Shojaeefard, 2016; Najibi, 2017; Najibi and Talebitooti, 2017; Babaei et al ., 2021; Najibi and Jing, 2021). As predicted, the 3D-FE frequency analysis has been able to identify the existence of odd mode shapes linked to the thick hollow cone inherent frequencies, apart from the typical bending or flexural mode ones (Burlayenko and Sadowski, 2020).…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional natural frequency investigation of bidirectional FG truncated thick hollow cone

Najibi

Kianifar²,

Ghazifard³

2022

Self Cite

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PurposeThe authors examined the numerical natural frequency analysis of a 2D functionally graded (FG) truncated thick hollow cone using 3D elasticity theory.Design/methodology/approachThe material properties of the 2D-FGM (two dimensional-functionally graded materials) cone are graded along the radial and axial axes of the cone using a power–law distribution. The eigenvalue problem was solved using finite element analysis (FEA) employing graded hexahedral elements, and the verification of the finite element approach was assessed by comparing the current solution to earlier experimental studies.FindingsThe effects of semivertex angle, material distribution and the cone configuration on the natural frequencies have been analyzed. For various semivertex angles, thickness, length and power law exponents, many results in the form of natural frequencies and mode shapes are presented for the 2D-FGM cone. As a result, the effects of the given parameters were addressed, and the results were compared, demonstrating the direct efficiency of raising the power–law exponents and cone thickness on the rise of natural frequencies.Originality/valueFor the first time, the numerical natural frequency analysis of a 2D-FG truncated thick hollow truncated cone based on 3D equations of elasticity has been investigated. The material properties of the truncated cone have been distributed along two directions, which has not been considered before in any research for the truncated thick cone. The reason for using these innovative volume fraction functions is the lack of accurate coverage by functions that are available in the literature (Asemi et al., 2011; Babaei et al. 2021).

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“…The influence of 2-D material distribution on the dynamic demeanor of thick finite length cylinder structure and the thermal stress distributions were presented by Asgari and Akhlaghi [24]. Najibi and Talebitooti [25] studied nonlinear transient thermo-elastic analysis a two-dimensional FG thick hollow finite length cylinder under effect of thermal loading using (FEM). Literature survey showed that most treatises on cylindrical shells and panels are restricted to conventional FG cylindrical shells and panels, so this work may be exercised as a beneficial research for recipient studies.…”

Section: Introductionmentioning

confidence: 99%

Static analysis of two-directional functionally graded cylindrical panels under the effect of symmetric loads using finite element method (FEM)

Mohammed¹,

Hasan²

2019

AJES

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This paper offers the linear analysis of the static behavior of two directional functionally graded (2D-FG) cylindrical panels under the effect of internal symmetric loads. The mechanical properties of the cylindrical panel are given to be changed simultaneously through the thickness and longitudinal directions as a function to the volume fraction of the constituents by a simple power-law distribution. Based on Sander's first order shear deformation shell theory (FSDT), the equations of motion for (2D-FG) panels are derived using the principle of minimum total potential energy (MPE). The finite element method (FEM) as an effective numerical tool is utilized to solve the equations of motion. The model has been compared with those available in the literature and it observed good correspondence. The influences of the material variation along the thickness and longitudinal directions, geometrical parameters, boundary conditions and load parameters on the panel deformation are studied in detail.

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Nonlinear transient thermo-elastic analysis of a 2D-FGM thick hollow finite length cylinder

Cited by 43 publications

References 35 publications

Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least‐Square Method

Thermal Analysis of 2D FGM Beam Subjected to Thermal Loading Using Meshless Weighted Least‐Square Method

Three-dimensional natural frequency investigation of bidirectional FG truncated thick hollow cone

Static analysis of two-directional functionally graded cylindrical panels under the effect of symmetric loads using finite element method (FEM)

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