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Numerical solution of thermal elastic-plastic functionally graded thin rotating disk with exponentially variable thickness and exponentially variable density

Thermal elastic-plastic stresses and strains have been obtained for rotating annular disk by using finite difference method with Von-Mises' yield criterion and non-linear strain hardening measure. The compressibility of the disk is assumed to be varying in the radial direction. From the numerical results, we can conclude that thermal rotating disk made of functionally graded material whose thickness decreases exponentially and density increases exponentially with non-linear strain hardening measure is on the safe side of the design as compared to disk made of homogenous material. This is because of the reason that circumferential stress is less for functionally graded disk as compared to homogenous disk. Also, plastic strains are high for functionally graded disk as compared to homogenous disk. It means that disk made of functionally graded material reduces the possibility of fracture at the bore as compared to the disk made of homogeneous material which leads to the idea of stress saving. () 0.2m=
PAPER REVISED: 2018-04-09
PAPER ACCEPTED: 2018-04-29
  1. Timoshenko, S.P., Goodier, J.N., Theory of Elasticity, McGraw-Hill, New York, Third edition, 1970.
  2. Hill, R., The Mathematical Theory of Plasticity, Oxford University Press, U.K., 1998.
  3. Eraslan, A.N., Inelastic Deformations of Rotating Variable Thickness solid Disks by Tresca and Von-Mises' Criteria, Int. J. Comp. Eng. Sci., 3(2002), pp. 89-101.
  4. Eraslan, A.N., Akgul, F., Yielding and Elasto-plastic Deformation of Annular Disks of a Parabolic Section Subject to External Compression, Turkish J. Eng. Env. Sci., 29(2005), pp. 51-60.
  5. Gupta, S.K, Shukla, R.K., Effect of Non-homogeneity on Elastic-Plastic Transition in a Thin Rotating Disk, Indian J. Pure Appl. Math., 25(1994), 10, pp. 1089-1097.
  6. Gupta, S.K, Sharma, S., Pathak, S., Creep Transition in a Thin Rotating Disk having Variable Thickness and Variable Density, Indian J. Pure Appl. Math., 31(2000), 10, pp. 1235-1248.
  7. Yuriy P., Derya A., Beyza B., Iskender E., and Necati O., Control of Thermal Stresses in Axissymmetric problems of Fractional Thermoelasticity for an Infinite Cylindrical Domain, Thermal Science, 21(2017), 1A, pp. 19-28
  8. Sharma, S., Sahni, M., Elastic-Plastic Transition of Transversely Isotropic Thin Rotating Disk, Contemporary Eng. Sci., 2(2009), 9, pp. 433-440.
  9. Reza M.N., Mahmoud S., and Khalil F., Three-Dimensional Finite Element Simulation of Residual Stresses in Uic60 Rails during The Quenching Process, Thermal Science, 21(2017), 3, pp. 1301-1307
  10. You, L.H., Long, S.Y., Zhang, J. J., Perturbation Solution of Rotating Solid Disks with Nonlinear Strain-hardening, Mechanics Research Communications, 24(1997), 6, pp. 649-658.
  11. You, L.H., Tang, Y.Y., Zhang, J.J. Zheng, C.Y., Numerical Analysis of Elastic-Plastic Rotating Disks with Arbitrary Variable Thickness and Density, International Journal of Solids and Structures, 37(2000), pp. 7809-7820.
  12. Zhanling J., Yunhua L., Sujun D., Peng Z., and Yunze L., Elastoplastic Finite Element Analysis for Wet Multidisc Brake During Lasting Braking, Thermal Science, 19(2015), 6, pp. 2205-2217
  13. Sharma, S., Yadav. S, Finite Difference Solution of Elastic-plastic Thin Rotating Annular Disk with Exponentially Variable Thickness and Exponentially Variable Density, Journal of Materials, (2013), pp. 1-9.
  14. Deepak, D., Gupta, V. K., Dham, A. K., Creep Modeling In Functionally Graded Rotating Disc of Variable Thickness, Journal of Mechanical Science And Technology, 24(2010), 11, pp. 2221-2232.