Volume 19, Issue 9 (September 2019)                   Modares Mechanical Engineering 2019, 19(9): 2247-2254 | Back to browse issues page

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Shahriari B, Karimian A, Nazari M. Onset Yield Analysis of Rotating Variable Thickness Disk Made of Functionally Graded Materials in Engine of Aero Gas Turbine . Modares Mechanical Engineering 2019; 19 (9) :2247-2254
URL: http://mme.modares.ac.ir/article-15-18269-en.html
1- Applied Design and Aerospace Structure Department, Mechanical Engineering Faculty, Malek Ashtar University of Technology, Isfahan, Iran , shahriari@mut-es.ac.ir
2- Applied Design and Aerospace Structure Department, Mechanical Engineering Faculty, Malek Ashtar University of Technology, Isfahan, Iran
Abstract:   (4882 Views)
The present study is an attempt to analyze the yield threshold in a rotating variable-thickness disk made of functionally graded material (FGM) based on the Tresca yield criterion. The analysis was performed based on the small deformation theory and for the plane stress state. The modulus of elasticity, density and yield stress were assumed to be a power function of the radial coordinate. The Poisson’s ratio due to slight variations in engineering materials is assumed constant, and the equilibrium equation governing the rotating disk was solved analytically. In addition to the type of material, the disk cross section profile can affect the distribution of stress fields. The thickness of the disk cross-section varies in the radial direction by a power function. In the present analysis, various states are considered for onset yield and commencement of plastic flow. For evaluation and validation, the results of the study are compared to similar results related to specific states (homogeneous and functionally graded constant-thickness disk) investigated in previous references. The results show that considering variable thickness for disk section has a significant effect on the stress level and the prediction of onset yield point.
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Article Type: Original Research | Subject: Aerospace Structures
Received: 2018/03/29 | Accepted: 2019/02/12 | Published: 2019/09/1

1. Mahamood RM, Akinlabi ET, Shukla M, Pityana S. Functionally graded material: An overview. Proceedings of the World Congress on Engineering (WCE 2012), Vol III, July 4-6, 2012, London, UK. London: WCE; 2012. [Link]
2. Timoshenko S, Goodier JN. Theory of elasticity. New York: McGraw-Hill; 1969. [Link]
3. Gamer U. Tresca's yield condition and the rotating disk. Journal of Applied Mechanics. 1983;50(3):676-678. [Link] [DOI:10.1115/1.3167110]
4. Gamer U. Elastic-plastic deformation of the rotating solid disk. Ingenieur Archiv. 1984;54(5):345-354. [Link] [DOI:10.1007/BF00532817]
5. Gamer U. The elastic-plastic stress-distribution in the rotating annulus and in the annulus under external-pressure. Applied Mathematics and Mechanics. 1984;64(4):126-128. [German] [Link]
6. Gamer U. Stress-distribution in the rotating elastic-plastic disk. Applied Mathematics and Mechanics. 1985;65(4):136-137. [German] [Link]
7. Gamer U, Lance RH. Stress distribution in a rotating elastic-plastic tube. Acta Mechanica. 1983;50(1-2):1-8. [Link] [DOI:10.1007/BF01170437]
8. Güven U. Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density. International Journal of Mechanical Sciences. 1992;34(2):133-138. [Link] [DOI:10.1016/0020-7403(92)90078-U]
9. Güven U. On the stresses in an elastic-plastic annular disk of variable thickness under external pressure. International Journal of Solids and Structures. 1993;30(5):651-658. [Link] [DOI:10.1016/0020-7683(93)90027-5]
10. Eraslan AN, Argeso H. Limit angular velocities of variable thickness rotating disks. International Journal of Solids and Structures. 2002;39(12):3109-3130. [Link] [DOI:10.1016/S0020-7683(02)00249-4]
11. Akis T, Eraslan AN. The stress response and onset of yield of rotating FGM hollow shafts. Acta Mechanica. 2006;187(1-4):169-187. [Link] [DOI:10.1007/s00707-006-0374-z]
12. Akis T, Eraslan AN. Exact solution of rotating FGM shaft problem in the elastoplastic state of stress. Archive of Applied Mechanics. 2007;77(10):745-765. [Link] [DOI:10.1007/s00419-007-0123-3]
13. Rabizadeh E, Hassanbeigi A, Mofidfar M, Rabizadeh T. Stress analysis of Functionally Graded Material (FGM) rotating disk. 14th Annual Conference of Mechanical Engineering, Isfahan, 2006. Isfahan: Isfahan University of Technology; 2006. [Persian] [Link]
14. Salmani Tehrani M, Hemati MR. Analytical study of elastic-plastic deformation of a rotating hollow FGM cylinder. Modares Mechanical Engineering. 2014;14(5):73-82. [Persian] [Link]
15. Bayat M, Saleem M, Sahari BB, Hamouda AMS, Mahdi E. Analysis of functionally graded rotating disks with variable thickness. Mechanics Research Communications. 2008;35(5):283-309. [Link] [DOI:10.1016/j.mechrescom.2008.02.007]
16. Fatehi P, Zamani Nejad M. Effects of material gradients on onset of yield in FGM rotating thick cylindrical shells. International Journal of Applied Mechanics. 2014;6(4):1450038. [Link] [DOI:10.1142/S1758825114500380]
17. Zamani Nejad M, Fatehi P. Exact elasto-plastic analysis of rotating thick-walled cylindrical pressure vessels made of functionally graded materials. International Journal of Engineering Science. 2015;86:26-43. [Link] [DOI:10.1016/j.ijengsci.2014.10.002]
18. Dai T, Dai HL. Investigation of mechanical behavior for a rotating FGM circular disk with a variable angular speed. Journal of Mechanical Science and Technology. 2015;29(9):3779-3787. [Link] [DOI:10.1007/s12206-015-0824-4]
19. Ekhteraei Toussi H, Rezaei Farimani M. Elasto-plastic deformation analysis of rotating disc beyond its limit speed. International Journal of Pressure Vessels and Piping. 2012;89:170-177. [Link] [DOI:10.1016/j.ijpvp.2011.11.001]
20. Haghpanah Jahromi B, Nayeb Hashemi H, Vaziri A. Elasto-plastic stresses in a functionally graded rotating disk. Journal of Engineering Materials and Technology. 2012;134(2):021004. [Link] [DOI:10.1115/1.4006023]
21. Zamani Nejad SM, Rastgoo A, Hadi A. Onset yield analysis of rotating disks made of functionally graded materials using Tresca yield criterion. Modares Mechanical Engineering. 2014;14(8):68-74. [Persian] [Link]
22. Lomakin E, Alexandrov S, Jeng YR. Stress and strain fields in rotating elastic/plastic annular discs. Archive of Applied Mechanics. 2016;86(1-2):235-244. [Link] [DOI:10.1007/s00419-015-1101-9]

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