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Analytical Solution of Hyperbolic Deformable Disk having Variable Density

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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.

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Authors and Affiliations

  1. Department of Mathematics, ICFAI University, Baddi, Himachal Pradesh, India

    P. Thakur, M. Sethi & N. Kumar

  2. Department of Physics, ICFAI University, Baddi, Himachal Pradesh, India

    K. Gupta & R. K. Bhardwaj

Authors
  1. P. Thakur
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  2. M. Sethi
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  3. N. Kumar
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  4. K. Gupta
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  5. R. K. Bhardwaj
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Correspondence to P. Thakur.

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Thakur, P., Sethi, M., Kumar, N. et al. Analytical Solution of Hyperbolic Deformable Disk having Variable Density. Mech. Solids 56, 1039–1046 (2021). https://doi.org/10.3103/S0025654421060194

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  • DOI: https://doi.org/10.3103/S0025654421060194

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