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An investigation of stresses and deformation states of clamped rotating functionally graded disks

Thawait A. K., Sondhi L., Sanyal S., Bhowmick S.

Journal of Theoretical and Applied Mechanics

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2017

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Vol. 55 nr 1

189--198

EN

The present study deals with the linear elastic analysis of variable thickness rotating disks made of functionally graded materials (FGMs) by the finite element method. The disks have radially varying material properties according to an exponential law, which is achieved by the element based grading of the material properties on the meshed domain. The results are reported for three types of thickness profiles, namely, uniform, linearly varying and concave thickness, having their mass constant. The disks are subjected to the clamped boundary condition at the inner surface and the free boundary condition at the outer surface. The obtained results show that in a variable thickness rotating disk, deformation and stresses are less as compared to the uniform thickness disk.

2

Thermo-Mechanical Deformation and Stress Analysis of Hydroxyapatite/Titanium FGM plate by FEM

Sharma R., Jadon V. K., Singh B.

Mechanics and Mechanical Engineering

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2016

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Vol. 20, nr 4

499--513

EN

Hydroxyapatite(HA)/titanium(Ti) functionally graded materials(FGM) are latest materials used for medical implants, structural components in defense, in dentistry, in aviation, and other fields under various type of loads. A finite element analysis model is designed to study the behavior of a HA/Ti FGM plate under thermo-mechanical loadings. Simply supported plate subjected to mechanical and thermal loads on its top and bottom surface is considered with suitable temperature and loading function. The first-order shear deformation plate (FSDT) method is used to investigate the thermo mechanical behavior of functionally graded plate .The volume fraction of the FGM plate is varied smoothly and continuously along the thickness of the plate. Results are discussed for the deformation and stresses of HA/Ti FGM plate It is observed from the study that FGMs are able to resist higher temperatures and loads without delamination.

3

A semi-analytical solution on static analysis of circular plate exposed to non-uniform axisymmetric transverse loading resting on Winkler elastic foundation

Abbasi S., Farhatnia F., Jazi S. R.

Archives of Civil and Mechanical Engineering

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2014

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Vol. 14, no. 3

476--488

EN

This paper is concerned with static analysis of functionally graded (FG) circular plates resting on Winkler elastic foundation. The material properties vary across the thickness direction so the power-law distribution is used to describe the constituent components. The differential transforms method (DTM) is utilized to solve the governing differential equations of bending of the thin circular plate under various boundary conditions. By employing this solution method, governing differential equations are transformed into recurrence relations and boundary/regularity conditions are changed into algebraic equations. In this study, the plate is subjected to uniform/non-uniform transverse load in two cases of boundary conditions (clamped and simply-supported). Some numerical examples are presented to show the influence of functionally graded variation, different elastic foundation modulus, and variation of the symmetrical transverse loads on the stress and displacement fields. Based on the results, the obtained out-plane displacement coincide with the available solution for a homogenous circular plate. It can be concluded that the applied method provides accurate results and it is easily used for static analysis of circular plates on an elastic foundation.

4

Elastic solution of pressurized clamped-clamped thick cylindrical shells made of functionally graded materials

Ghannad M., Nejad M. Z.

Journal of Theoretical and Applied Mechanics

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2013

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Vol. 51 nr 4

1067--1079

EN

The effect of material inhomogeneity on displacements and stresses of an internally pressurized clamped-clamped thick hollow cylinder made of functionally graded materials is investigated. The modulus of elasticity is 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 governing differential equations were generally derived, making use of the first-order shear deformation theory (FSDT). 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), the results of which were compared with those of the analytical method.