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Journal Article

Stress and strain analysis of rotating fgm thermoelastic circular disk by using fem

01 Jan 2012-International journal of pure and applied mathematics (Academic Publications, Ltd.)-Vol. 74, Iss: 3, pp 339-352
TL;DR: In this article, finite element analysis of thermoe- lastic stresses, displacements and strains in a thin circular functionally graded material (FGM) disk subjected to thermal loads is presented.
Abstract: This paper concentrates on the finite element analysis of thermoe- lastic stresses, displacements and strains in a thin circular functionally graded material (FGM) disk subjected to thermal loads. Further the temperature pro- files have been modeled with the help of heat conduction equation. The model has been solved numerically for an Al2O3/Al FGM disk. The numerical re- sults reveal that these quantities are significantly influenced by temperature

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Citations
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Book ChapterDOI
01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.

1,820 citations

Journal ArticleDOI
TL;DR: In this article, both uncoupled and coupled problems of thermoelasticity for the frictional heat generation in disk brakes and clutches using the finite element method are presented and analyzed.
Abstract: An operation of a brake at robust thermal loads leads to high-temperature gradients in brake components. This in turn may induce thermal stresses due to thermal expansion. In this article, both uncoupled and coupled problems of thermoelasticity for the frictional heat generation in disk brakes and clutches using the finite element method are presented and analyzed. The article covers a wide range of studies providing the concluding remarks and key factors affecting a change in the distribution of stresses in different types of the disk brakes and clutches, operating parameters, materials, etc.

33 citations

Journal ArticleDOI
TL;DR: In this article, two-dimensional heat transfer equation along the axial and radial directions is analytically solved before thermoelastic analysis of a functionally graded cylindrical pressure vessel subjected to axially variable thermal and mechanical loads.
Abstract: This article presents two-dimensional thermoelastic analysis of a functionally graded cylindrical pressure vessel subjected to axially variable thermal and mechanical loads. Thermal and mechanical properties are assumed to be variable along the radius based on the power law variation. Two-dimensional heat transfer equation along the axial and radial directions is analytically solved before thermoelastic analysis of the problem. First-order shear deformation theory is used for description of displacement field. Energy method as well as Euler equation is used to obtain final constitutive differential equations of the system. Four differential equations of the system are solved using the eigenvalue and eigenvector method for various patterns of axially variable loadings. Axial and radial distributions of displacement, strain, and stress components are calculated in terms of different parameters such as variable thermal and mechanical loadings and nonhomogeneous index. The obtained results indicate th...

27 citations

Journal ArticleDOI
TL;DR: In this article, a two-dimensional thermoelastic analysis of functionally graded thick-walled cylinder is investigated under thermal and mechanical loadings and based on the Pasternak foundation.
Abstract: Two-dimensional thermoelastic analysis of functionally graded thick-walled cylinder is investigated under thermal and mechanical loadings and based on the Pasternak foundation. The first-order shear deformation theory is used to describe the displacement field. Fundamental governing differential equations of system are obtained by energy method and Euler equations. Effect of gradation of material properties and Pasternak foundation parameters are considered as important results of this study. The obtained results indicate that the end supports have considerable effect on the longitudinal distribution of components. Furthermore, it can be concluded that with increasing the non-homogeneous index, both radial and axial displacements decreases.

20 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigate the thermoelastic behavior of rotating disks with variable thickness involving a non-uniform heat source, and conduct corresponding simulations, two user subroutines are edited and incorporated into the commercial finite-element code ABAQUS.
Abstract: The research aims to investigate thermoelastic behavior of functionally graded rotating disks with variable thickness involving a non-uniform heat source We assume material properties and thickness of rotating disks to vary in the radial direction Axisymmetric thermal loads including non-uniform heat source, heat flux, and temperature boundary conditions are considered To conduct corresponding simulations, two user subroutines are edited and incorporated into the commercial finite-element code ABAQUS For verification, analytical formulations are derived and solved uniquely by symbolic calculations using the computing software Mathematica The developed finite-element technique is then verified with very good agreement between results by ABAQUS and Mathematica

17 citations

References
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Book
01 Jan 1984
TL;DR: Second-order Differential Equations in One Dimension: Finite Element Models (FEM) as discussed by the authors is a generalization of the second-order differential equation in two dimensions.
Abstract: 1 Introduction 2 Mathematical Preliminaries, Integral Formulations, and Variational Methods 3 Second-order Differential Equations in One Dimension: Finite Element Models 4 Second-order Differential Equations in One Dimension: Applications 5 Beams and Frames 6 Eigenvalue and Time-Dependent Problems 7 Computer Implementation 8 Single-Variable Problems in Two Dimensions 9 Interpolation Functions, Numerical Integration, and Modeling Considerations 10 Flows of Viscous Incompressible Fluids 11 Plane Elasticity 12 Bending of Elastic Plates 13 Computer Implementation of Two-Dimensional Problems 14 Prelude to Advanced Topics

3,043 citations

Book ChapterDOI
01 Jan 1997
TL;DR: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems and discusses the main points in the application to electromagnetic design, including formulation and implementation.
Abstract: This chapter introduces the finite element method (FEM) as a tool for solution of classical electromagnetic problems. Although we discuss the main points in the application of the finite element method to electromagnetic design, including formulation and implementation, those who seek deeper understanding of the finite element method should consult some of the works listed in the bibliography section.

1,820 citations


"Stress and strain analysis of rotat..." refers methods in this paper

  • ...The finite element method is well addressed and needs less computation in addition to high accuracy in literature, Reddy [1] and Hutton [2]....

    [...]

Journal ArticleDOI
Zheng Zhong1, Tao Yu1
TL;DR: In this article, a general two-dimensional solution for a cantilever functionally graded beam, assuming that all the elastic moduli of the material have the same variations along the beam-thickness direction, is presented.

271 citations


"Stress and strain analysis of rotat..." refers background in this paper

  • ...[9] and Zhong and Yu [10] carried out the stress analysis of FGM beams of rectangular cross section due to mechanical loads....

    [...]

Journal ArticleDOI
TL;DR: In this paper, an analysis of the thermomechanical behavior of hollow circular cylinders of functionally graded material (FGM) cylinders is presented, and the authors conclude that thermal stresses necessarily occur in the FGM cylinder, except in the trivial case of zero temperature.

268 citations

Book
01 Jan 1980

251 citations


"Stress and strain analysis of rotat..." refers methods in this paper

  • ...(14) The heat conduction equation for a dynamic coupled thermoelastic solid is given by [Dhaliwal and Singh [18]] K ( ∂2 ∂r2 + 1 r ∂ ∂r ) T − ρCe ∂T ∂t = EαT0(ėr + ėθ) 1− ν , (15) where K is the thermal conductivity, Ce -Specific heat at constant strain and T0 being uniform reference temperature....

    [...]

  • ...The heat conduction equation for a dynamic coupled thermoelastic solid is given by [Dhaliwal and Singh [18]]...

    [...]