Creep Response of Rotating Composite Discs having Exponential Hyperbolic Linear and Constant Thickness Profiles

Rajinder Singh; Ravindra K. Saxena; Kishore Khanna; V. K. Gupta

doi:10.14429/dsj.70.14913

Rajinder Singh Department of Mechanical Engineering, Punjabi University, Patiala - 147 002
Ravindra K. Saxena Sant Longowal Institute of Engineering and Technology, Longowal, Sangrur - 148 106
Kishore Khanna Department of Mechanical Engineering, Thapar Institute of Engineering & Technology, Patiala - 147 004
V. K. Gupta Department of Mechanical Engineering, Punjabi University, Patiala - 147 002

DOI: https://doi.org/10.14429/dsj.70.14913

Keywords: Rotating disc, Aluminium composites, Variable thickness, Strain rates, Creep modelling

Abstract

The study compares the steady state creep response of rotating Al-SiC discs having constant, linear, hyperbolic and exponential thickness with different thickness profiles. All the discs are assumed to have equal volume with the same average thickness. The creep behaviour of the disc material is described by threshold stress based law while the yielding is assumed to follow Tresca criterion. The variable thickness disc is observed to have superior creep response, expressed in terms of stresses and strain rates, to a constant thickness disc. Amongst variable thickness discs, the creep response is observed to be superior for linear thickness disc, when the inner thickness of all the discs is kept the same. However, for the same outer thickness, the disc having hyperbolic thickness profile exhibits the best creep response.

References

Gupta, V.K.; Singh, S.B.; Chandrawat, H.N. & Ray, S. Steady-state creep and material parameters in a rotating disc of Al-SiCp composite. Eur. J. Mech. A. Solids., 2004, 23, 335–344. https://doi.org/10.1016/j.euromechsol.2003.11.005

Gupta, V.K.; Singh, S.B.; Chandrawat, H.N. & Ray, S. Modeling of creep behavior of a rotating disc in the presence of both composition and thermal gradients. J. Eng. Mater.-T ASME, 2005,127, 97–105. https://doi.org/10.1115/1.1839187

Laskaj, M.; Murphy, B.; & Houngan, K. A Project Report on: Improving the efficiency of cooling the front disc brake on a V8 racing car, 22nd Oct. Monash University, Melbourne, 1999.

Farshi, B.; Jahed, H.; & Mehrabian, A. Optimum design of inhomogeneous non-uniform rotating discs. Comput. Struct., 2004, 82, 773–779. https://doi.org/10.1016/j.compstruc.2004.02.005

Bayat, M.; Saleem, M.; Sahari, B.B. & Hamouda, A.M.S. Analysis of functionally graded rotating disks with variable thickness. Mech. Res. Commun., 2008, 35, 283–309. https://doi.org/10.1016/j.mechrescom.2008.02.007

Altan, G.; Topcu, M.; Bektas, N.B. & Altan, B.D. Elastic-plastic thermal stress analysis of an aluminum composite disc under parabolic thermal load distribution. J. Mech. Sci. Technol., 2008, 22, 2318–2327.

https://doi.org/10.1007/s12206-008-0720-2

Nieh, T.G.; Xia, K. & Langdon, T.G. Mechanical properties of discontinuous SiC reinforced aluminium composites at elevated temperatures. J. Eng. Mater. Technol., 1988, 110, 77–82. https://doi.org/10.1115/1.3226033

Singh, S.B. & Rattan, M. Creep analysis of an isotropic rotating Al-SiCp composite disc taking into account the phase-specific thermal residual stress. J. Thermoplast. Compos. Mater., 2009, 23, 299–312. https://doi.org/10.1177/0892705709345938

Bayat, M.; Saleem, M.; Sahari, B.B. & Hamouda, A.M.S. Mechanical and thermal stresses in a functionally graded rotating disk with variable thickness due to radially symmetry loads. Int. J. Pres. Ves.Pip., 2009, 86, 357–372. https://doi.org/10.1016/j.ijpvp.2008.12.006

Bayat, M.; Sahari, B.B.; Saleem, M.; Ali, A. & Wong, S.V. Thermoelastic solution of a functionally graded variable thickness rotating disc with bending based on the first-order shear deformation theory. Thin Walled Struct., 2009, 47, 568–582. https://doi.org/10.1016/j.tws.2008.10.002

Khanna, K.; Gupta, V.K.; & Nigam, S.P. Creep analysis in a functionally graded rotating disc of variable thickness using Tresca yield criteria. Def. Sci. J.,2015, 65, 163–170. https://doi.org/10.14429/dsj.65.8045

Dwivedi, D.; Gupta, V.K. & Dham, A.K. Investigating the effect of thickness profile of a rotating FG disc on its creep behavior. J. Thermo. Comp. Mat., 2013,26, 461–475. https://doi.org/10.1177/0892705711425845

Garg, M. Stress analysis of variable thickness rotating FG disc. Int. J. Pure App. Phy.,2017, 13, 158-161.

Deepak, D.; Gupta, V.K. & Dham, A.K. Steady state creep in a rotating composite disc of variable thickness. Int. J. Mater. Res., 2010, 101, 780–786. https://doi.org/10.3139/146.110335

Deepak, D.; Garg, M.; & Gupta, V.K. Creep behavior of rotating FGM disc with linear and hyperbolic thickness profiles. Kragujevac J. Sci., 2015, 37, 35–48. https://doi.org/10.5937/KgJSci1537035D

Garg, M.; Salaria, B.S. & Gupta V.K. Effect of disc geometry on the steady state creep in a rotating disc made of Functionally Graded materials. Mater. Sci. Forum., 2013, 736, 183–191. https://doi.org/10.4028/www.scientific.net/MSF.736.183

Khanna, K.; Gupta V.K.; & Nigam, S.P. Modeling and analysis of creep in a variable thickness rotating FGM disc using Tresca and von-Mises criteria. Trans. Mech. Eng. Iranian J. Sci. Technol., 2017, 41, 109-119. https://doi.org/10.1007/s40997-016-0051-3

Jalali, M.H. & Shahriari, B. Elastic stress analysis of rotating functionally graded annular disk of variable thickness using finite difference method. MATH PROBL ENG, 2018, Article ID 1871674. https://doi.org/10.1155/2018/1871674

Sharma, S.; Sahai, I. & Kumar, R. Creep transition of a thin rotating annular disk of exponential variable thickness with inclusion and edge load. Procedia Engineering, 2013, 55, 348–354. https://doi.org/10.1016/j.proeng.2013.03.264

Sharma, S. & Maheshwari, K. Creep stresses in functionally graded thin rotating orthotropic disk with variable thickness and density. In AIPConference Proceedings, 2019, 2061, 020036. https://doi.org/10.1063/1.5086658

Dieter, G.E. Mechanical metallurgy. Ed. 3rd. McGraw-Hill, New York, 1988.