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Effect of Thickness Profile and FG Function on Rotating Disks Under Thermal and Mechanical Loading

Published online by Cambridge University Press:  22 December 2015

M. Jabbari ,
M. Ghannad  and
M. Z. Nejad
M. Jabbari
Affiliation:
Mechanical Engineering FacultyShahrood University Shahrood, Iran
M. Ghannad
Affiliation:
Mechanical Engineering FacultyShahrood University Shahrood, Iran
M. Z. Nejad*
Affiliation:
Mechanical Engineering DepartmentYasouj UniversityYasouj, Iran
*
* Corresponding author ([email protected]; [email protected])
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Abstract

In this paper, a thermoelastic analysis of rotating disks with different thickness profiles made of functionally graded materials (FGMs) subjected to internal pressure is presented. Material properties (except Poisson’s ratio) and disk thickness profile are described by means of two functions namely power and exponential function. A comparative study of thermoelastic analysis is given for material properties and disk thickness profiles. The results of are compared with those obtained by finite element method (FEM) that shows good agreement. The effect of thickness profiles, gradient parameters and angular velocity on the thermoelastic performance of the disk have been studied.

Keywords

Rotating diskVariable thicknessThermoelasticFunctionally graded material (FGM)
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 1 , February 2016 , pp. 35 - 46
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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References

1.Gong, J. F., Ming, P. J., Xuan, L. K. and Zhang, W. P., “Thermoelastic Analysis of Three-Dimensional Functionally Graded Rotating Disks Based on Finite Volume Method,” Proceedings of The Institution of Mechanical Engineers Part C., Journal of Mechanical Engineering Science, 228, pp. 583–598 (2014).Google Scholar
2.Dai, H. L. and Zheng, H. Y., “Creep Buckling and Post-Buckling Analyses of a Viscoelastic FGM Cylindrical Shell with Initial Deflection Subjected to a Uniform In-Plane Load,” Journal of Mechanics, 28, pp. 391–399 (2012).Google Scholar
3.Nejad, M. Z., Hoseini, Z., Niknejad, A. and Ghannad, M., “Steady-State Creep Deformations and Stresses in FGM Rotating Thick Cylindrical Pressure Vessels,” Journal of Mechanics, 31, pp. 1–6 (2015).CrossRefGoogle Scholar
4.Tokovyy, Y. V. and Ma, C. C., “Thermal Stresses in Anisotropic and Radially Inhomogeneous Annular Domains,” Journal of Thermal Stresses, 31, pp. 892–913 (2015).Google Scholar
5.Tokovyy, Y. V. and Ma, C. C., “Analytical Solutions to the Planar Non-Axisymmetric Elasticity and Thermoe-lasticity Problems for Homogeneous and Inhomogeneous Annular Domains,” International Journal of Engineering Science, 47, pp. 413–437 (2009).Google Scholar
6.Tutuncu, N., “Effect of Anisotropy on Stresses in Rotating Discs,” International Journal of Mechanical Sciences, 37, pp. 873–881 (1995).Google Scholar
7.Horgan, C. O. and Chan, A. M., “The Pressurized Hollow Cylinder or Disk Problem for Functionally Graded Isotropic Linearly Elastic Materials,” Journal of Elasticity, 55, pp. 43–59 (1999).CrossRefGoogle Scholar
8.Eraslan, A. N. and Orcan, Y A., “Parametric Analysis of Rotating Variable Thickness Elastoplastic Annular Disks Subjected to Pressurized and Radially Constrained Boundary Conditions,” Journal of Engineering and Environmental Sciences, 28, pp. 381–395 (2004).Google Scholar
9.Kordkheili, S. A. H. and Naghdabadi, R., “Thermoelastic Analysis of a Functionally Graded Rotating Disk,” Composite Structures, 79, pp. 508–516 (2007).Google Scholar
10.Bayat, M., Saleem, M., Sahari, B. B., Hamouda, A. M. S. and Mahdi, E., “Analysis of Functionally Graded Rotating Disks with Variable Thickness,” Mechanics Research Communications, 35, pp. 283–309 (2008).Google Scholar
11.Vullo, V. and Vivio, F., “Elastic Stress Analysis of Non-Linear Variable Thickness Rotating Disks Subjected to Thermal Load and Having Variable Density Along The Radius,” International Journal of Solids and Structures, 45, pp. 5337–5355 (2008).CrossRefGoogle Scholar
12.Nejad, M. Z., Rahimi, G. H. and Ghannad, M., “Set of Field Equations for Thick Shell of Revolution Made of Functionally Graded Materials in Curvilinear Coordinate System,” Mechanika, 3, pp. 18–26 (2009).Google Scholar
13.Tutuncu, N. and Temel, B., “A Novel Approach to Stress Analysis of Pressurized FGM Cylinders, Disks and Spheres,” Composite Structures, 91, pp. 385–390 (2009).Google Scholar
14.Bayat, M., Saleem, M., Sahari, B. B., Hamouda, A. M. S. and Mahdi, E., “Mechanical and Thermal Stresses in a Functionally Graded Rotating Disk with Variable Thickness Due to Radially Symmetry Loads,” International Journal of Pressure Vessels and Piping, 86, pp. 357–372 (2009).Google Scholar
15.Bayat, M., Saleem, M., Sahari, B. B., Hamouda, A. M. S. and Reddy, J. N., “Thermo Elastic Analysis of Functionally Graded Rotating Disks with Temperature-Dependent Material Properties: Uniform and Variable Thickness,” International Journal of Mechanics and Materials in Design, 5, pp. 263–279 (2009).Google Scholar
16.Bayat, M., Mohazzab, A. H., Sahari, B. B. and Saleem, M., “Exact Solution for Functionally Graded Variable-Thickness Rotating Disc with Heat Source,” Proceedings of the Institution of Mechanical Engineers-Part C., Journal of Mechanical Engineering Science, 224, pp. 2316–2331 (2010).Google Scholar
17.Nie, J. G. and Barata, R. C., “Stress Analysis and Material Tailoring in Isotropic Linear Thermoelastic Incompressible Functionally Graded Rotating Disks of Variable Thickness,” Composite Structures, 92, pp. 720–729 (2010).Google Scholar
18.Asghari, M. and Ghafoori, E. A., “Three-Dimensional Elasticity Solution for Functionally Graded Rotating Disks,” Composite Structures, 92, pp. 1092–1099 (2010).Google Scholar
19.Long, X. P. and Xian, L. F., “Thermal Stress in Rotating Functionally Graded Hollow Circular Disks,” Composite Structures, 92, pp. 1896–1904 (2010).Google Scholar
20.Afsar, A. M. and Go, J. “Finite Element Analysis of Thermoelastic Field in a Rotating FGM Circular Disk,” Applied Mathematical Modelling, 34, pp. 3309–3320 (2010).CrossRefGoogle Scholar
21.Zenkour, A. M. and Mashat, D. S., “Stress Function of a Rotating Variable-Thickness Annular Disk Using Exact and Numerical Methods,” Engineering, 3, pp. 422–430 (2011).Google Scholar
22.Lotfian, M. H., Nejad, M. Z., Abedi, M. and Ghannad, M., “An Elasticity Solution for Functionally Graded Hollow Disks under Radially Symmetry Loads,” Journal of Basic and Applied Scientific Research, 11, pp. 2435–2441 (2011).Google Scholar
23.Hassani, A., Hojjati, M. H., Farrahi, G. and Alashti, R. A., “Semi-Exact Elastic Solutions for Thermo-Mechanical Analysis of Functionally Graded Rotating Disks,” Composite Structures, 93, pp. 3239–3251 (2011).CrossRefGoogle Scholar
24.Gong, J. F., Ming, P. J., Xuan, L. K. and Zhang, W. P., “Thermoelastic Analysis of Three-Dimensional Functionally Graded Rotating Disks Based on Finite Volume Method,” Proceedings of the Institution of Mechanical Engineers Part C., Journal of Mechanical Engineering Science, 228, pp. 583–598 (2014).Google Scholar
25.Zafarmand, H. and Hassani, B., “Analysis of Two-Dimensional Functionally Graded Rotating Thick Disks with Variable Thickness,” Acta Mechanics, 225, pp. 453–464 (2013).Google Scholar
26.Nejad, M. Z., Abedi, M., Lotfian, M. H. and Ghannad, M., “Elastic Analysis of Exponential FGM Disks Subjected to Internal and External Pressure,” Central European Journal of Engineering, 3, pp. 459–465 (2013).Google Scholar
27.Tutuncu, N. and Temel, B., “An Efficient Unified Method for Thermoelastic Analysis of Functionally Graded Rotating Disks of Variable Thickness,” Mechanics of Advanced Materials and Structures, 20, pp. 38–46 (2013).Google Scholar
28.Golmakani, M. E., “Large Deflection Thermoelastic Analysis of Shear Deformable Functionally Graded Variable Thickness Rotating Disk,” Composite Part B -Engineering, 45, pp. 1143–1155 (2013).Google Scholar
29.Nejad, M. Z. and Afshin, A., “Transient Thermoelastic Analysis of Pressurized Rotating Disks Subjected to Arbitrary Boundary and Initial Conditions,” Chinese Journal of Engineering, Article ID 894902 (2014).Google Scholar
30.Vullo, V., Vivio, F and Cifani, P., “Theoretical Stress Analysis of Rotating Hyperbolic Disk without Singularities Subjected to Thermal Load,” Journal of Thermal Stress, 37, pp. 117–136 (2014).Google Scholar
31.Nejad, M. Z., Rastgoo, A. and Hadi, A., “Exact Elasto-Plastic Analysis of Rotating Disks Made of Functionally Graded Materials,” International Journal of Engineering Sciences, 85, pp. 47–57 (2014).Google Scholar
32.Nejad, M. Z., Rastgoo, A. and Hadi, A., “Onset Yield Analysis of Rotating Disks Made of Functionally Graded Materials Using Tresca Yield Criterion,” Modares Mechanical Engineering, 14, pp. 68–74 (2014) (in Persian).Google Scholar
33.Stodola, A., Dampf und Gasturbinen, 6th Ed., Springer, Berlin Heidelberg (1924).Google Scholar
34.Abramowitz, M. and Stegun, I. A., Handbook of Mathematical Functions, Dover Publications, New York (1965).Google Scholar