Analysis of two-dimensional functionally graded rotating thick disks with variable thickness

Zafarmand, Hassan; Hassani, Behrooz

doi:10.1007/s00707-013-0966-3

Cited by 50 publications

(24 citation statements)

References 22 publications

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“…They solved the ordinary differential equation analytically and also numerically by the DQ method. Zafarmand and Hassani [14] used graded finite element method to study the stress in rotating FG circular thick disks with variable thickness. They investigated the displacements and stress for four different thickness profiles.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Jalali

Shahriari

2018

Mathematical Problems in Engineering

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Elastic stress analysis of rotating variable thickness annular disk made of functionally graded material (FGM) is presented. Elasticity modulus, density, and thickness of the disk are assumed to vary radially according to a power-law function. Radial stress, circumferential stress, and radial deformation of the rotating FG annular disk of variable thickness with clamped-clamped (C-C), clamped-free (C-F), and free-free (F-F) boundary conditions are obtained using the numerical finite difference method, and the effects of the graded index, thickness variation, and rotating speed on the stresses and deformation are evaluated. It is shown that using FG material could decrease the value of radial stress and increase the radial displacement in a rotating thin disk. It is also demonstrated that increasing the rotating speed can strongly increase the stress in the FG annular disk.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Jalali

Shahriari

2018

Mathematical Problems in Engineering

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“…To consider variable-thickness FGM discs subjected to only centrifugal forces many methods such as semi-analytical methods in which the main domain is divided into uniform sub-domains (Bayat et al 2008), the finite element method (Zafarmand and Hassani 2014), the finite difference method (Zheng et al 2016), analytical (Yildirim 2016;2018), the complementary functions method (Boğa and Yildirim 2017;Yildirim and Kacar 2017), and the transfer matrix method (Yildirim and Kacar 2017).…”

Section: Introductionmentioning

confidence: 99%

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

Yıldırım

2019

J.Aerosp. Technol. Manag.

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In the present paper, thermomechanical attributes of a power-law graded uniform mounted disc with or without rigid casing are investigated analytically under centrifugal and steady-state thermal loads within the framework of axisymmetric infinitesimal plane-stress elasticity theory. Young's modulus, material density, thermal expansion coefficient and thermal conductivity are all assumed to be constantly changed in the radial direction with different inhomogeneity indexes while Poisson's ratio is kept constant. Two parametric studies are conducted by both hypothetically and physically chosen metal-ceramic pairs namely nickel-silicon nitride (Ni-Si3N4), aluminum-aluminum oxide (Al-Al2O3), and stainless steel-zirconium oxide (SUS304-ZrO2).

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“…Therefore, variation of volume fraction in two directions has a higher capability to reduce the mechanical, thermal and residual stresses and leads to a more flexible design than 1D-FGMs. Some studies have been carried out about static and dynamic analyses of structures made of 2D-FGMs (Asgari and Akhlaghi, 2010;Nemat-Allah, 2009;Zafarmand and Hassani, 2014).…”

Section: Introductionmentioning

confidence: 99%

Three dimensional Free Vibration and Transient Analysis of Two Directional Functionally Graded Thick Cylindrical Panels Under Impact Loading

Zafarmand

Salehi

Asemi

2015

Lat. Am. j. solids struct.

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In this paper three dimensional free vibration and transient response of a cylindrical panel made of two directional functionally graded materials (2D-FGMs) based on three dimensional equations of elasticity and subjected to internal impact loading is considered. Material properties vary through both radial and axial directions continuously. The 3D graded finite element method (GFEM) based on Rayleigh-Ritz energy formulation and Newmark direct integration method has been applied to solve the equations in space and time domains. The fundamental normalized natural frequency, time history of displacements and stresses in three directions and velocity of radial stress wave propagation for various values of span angel of cylindrical panel and different power law exponents have been investigated. The present results show that using 2D-FGMs leads to a more flexible design than conventional 1D-FGMs. The GFEM solution have been compared with the results of an FG thick hollow cylinder and an FG curved panel, where a good agreement between them is observed.

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Analysis of two-dimensional functionally graded rotating thick disks with variable thickness

Cited by 50 publications

References 22 publications

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Elastic Stress Analysis of Rotating Functionally Graded Annular Disk of Variable Thickness Using Finite Difference Method

Thermomechanical Characteristics of a Functionally Graded Mounted Uniform Disc with/without Rigid Casing

Three dimensional Free Vibration and Transient Analysis of Two Directional Functionally Graded Thick Cylindrical Panels Under Impact Loading

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