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IssuesArchive of Issues2021-6pp.1039-1046

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Thakur P., Sethi M., Kumar N., Gupta K., and Bhardwaj R.K., "Analytical Solution of Hyperbolic Deformable Disk Having Variable Density," Mech. Solids. 56 (6), 1039-1046 (2021)
Year 2021 Volume 56 Number 6 Pages 1039-1046
DOI 10.3103/S0025654421060194
Title Analytical Solution of Hyperbolic Deformable Disk Having Variable Density
Author(s) Thakur P. (Department of Mathematics, ICFAI University, Baddi, Himachal Pradesh, India, pankaj_thakur15@yahoo.co.in)
Sethi M. (Department of Mathematics, ICFAI University, Baddi, Himachal Pradesh, India)
Kumar N. (Department of Mathematics, ICFAI University, Baddi, Himachal Pradesh, India)
Gupta K. (Department of Physics, ICFAI University, Baddi, Himachal Pradesh, India)
Bhardwaj R.K. (Department of Physics, ICFAI University, Baddi, Himachal Pradesh, India)
Abstract This paper deals with the study of stress distribution and angular speed for hyperbolic rotating disk made of isotropic materials having variable density parameter. The effects of angular speed and stresses in the hyperbolic disk with variable density have been discussed by using transition theory. With the effect of density parameter, the rotating disk requires higher values of angular speed for the initial/fully - plastic stages and the values of hoop stress are increased at the inner surface of hyperbolic disk made of isotropic (i.e. rubber/copper) materials. The hoop stress is maximum at the inner surface of the convergent disk made of copper material, but linear in the case of the disk made of rubber material.
Keywords isotropic, stresses, angular speed, hyperbolic disk, density
Received 04 February 2021Revised 08 July 2021Accepted 08 July 2021
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