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Creep Transition in a Thin Rotating Disc Having Variable Density with Inclusion
Abstract:Creep stresses and strain rates have been obtained for a thin rotating disc having variable density with inclusion by using Seth-s transition theory. The density of the disc is assumed to vary radially, i.e. ( ) 0 ¤ü ¤ü r/b m - = ; ¤ü 0 and m being real positive constants. It has been observed that a disc, whose density increases radially, rotates at higher angular speed, thus decreasing the possibility of a fracture at the bore, whereas for a disc whose density decreases radially, the possibility of a fracture at the bore increases.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1057405Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1321
 H. Kraus, "Creep Analysis", John Wiley & Sons, New York: Toronto, pp. 568-599, 1980.
 J.D. Lubahan and R.D. Felgar, "Plasticity and creep of metals", John Wiley & Sons, Inc., New York: London, 1961.
 A. Nadai, "Theory of flow and fracture of solids", 2nd, pp. 472-489, 1950.
 J. T. Boyle and J. Spence, "Stress Analysis for Creep" Butterworths. Coy. Ltd. London, 1983.
 F.R.N. Nabarro, and H.L. Villiers, "de. Physics of Creep" Taylor & Francis, PA, 1995
 T.V. Reddy and H. Srinath, "Elastic stresses in a rotating anisotropic annular disk of variable thickness and variable density", Int. J. Mech. Sci., vol..16, pp. 85, 1974.
 C.I. Change, "Stresses and displacement in rotating anisotropic disks with variable densities", AIAA Journal, pp. 116, 1976.
 A.M. Wahl, "Analysis of creep in Rotating Discs Based on Tresca Criterion and Associated Flow Rule", Jr. Appl. Mech., vol. 23, pp.103, 1956.
 B.R. Seth, "Transition theory of Elastic- plastic deformation, Creep and relaxation", Nature, 195(1962), pp. 896-897.
 B.R. Seth, "Measure concept in Mechanics", Int. J. Non-linear Mech., vol.. I(2), pp.35-40, 1966.
 B.R. Seth, "Transition condition, The yield condition", Int. J. Nonlinear Mechanics, vol. 5, pp. 279-285, 1970.
 S. Hulsurkar, "Transition theory of creep shell under uniform pressure", ZAMM, vol. 46, pp. 431-437, 1966.
 B.R. Seth, "Creep Transition in Rotating Cylinder", J. Math. Phys. Sci., vol. 8, pp. 1-5, 1974.
 S.K. Gupta and R.L.Dharmani, "Creep transition in thick walled cylinder under internal Pressure", Z.A.M.M, vol. 59, pp. 517- 521, 1979.
 S.K. Gupta and Pankaj, "Creep transition in a thin rotating disc with rigid inclusion", Defence Science Journal, vol. 57, pp. 185-195, 2007.
 S.K. Gupta and Pankaj, "Thermo elastic - plastic transition in a thin rotating disc with inclusion", Thermal Science, vol. 11, pp 103- 118, 2007.
 S.K. Gupta and Pankaj, "Creep Transition in an isotropic disc having variable thickness subjected to internal pressure", Proc. Nat. Acad. Sci. India, Sect. A, vol. 78, Part I, pp. 57-66, 2008.
 Gupta S.K. & Pankaj, "Creep transition in an isotropic disc having variable thickness subjected to internal pressure, accepted for publication in Proceeding of National Academy of Science ,India, Part-A, 2008.
 S.K. Gupta and Sonia Pathak , "Creep Transition in a thin Rotating Disc of variable density", Defence Sci. Journal, vol. 50, pp.147-153, 2000.
 I. S. Sokolnikoff, "Mathematical theory of Elasticity", McGraw - Hill Book Co., Second Edition, New York, pp. 70-71, 1950.
 Pankaj, Some problems in Elastic-plasticity and creep Transition, Ph.D. Thesis, Department of mathematics, H.P. University Shimla, India, pp. 43- 54, June 2006.
 F.K.G. Odquist, "Mathematical theory of creep and creep rupture, Clarendon Press", Oxford, U.K, 1974.
 F.P.J. Rimrott, "Creep of thick walled tube under internal pressure considering large strain", J. Appl., Mech., vol. 29, pp. 271, 1959.