Vol.25, No.1, 2025, pp. 48–52 |
COMPARATIVE ELASTO-PLASTIC ANALYSIS IN A ROTATING DISK MADE OF POLYMER MATERIAL WITH VARIABLE DENSITY PARAMETER Thakur Pankaj1*
1) Department of Mathematics, ICFAI University, Himachal Pradesh, INDIA P. Thakur https://orcid.org/0000-0001-8119-2697 , *email: pankaj_thakur15@yahoo.co.in P. Gulial https://orcid.org/0009-0009-0266-2298 2) Department of Mathematics, Mata Sundri College for Women, University of Delhi, New Delhi, INDIA A. Sharma https://orcid.org/0009-0006-7892-7529
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Abstract This article deals with the study of elasto-plastic analysis in a rotating disk made of polymer material and having variable density parameter. Mathematical modelling is based on stress-strain relation and equilibrium equation. Analytical solutions are presented for the disk made of polymer material. The effects of different pertinent parameters (i.e., density and angular speed) are considered. The behaviour of stress distribution, density parameter, and angular speed are investigated. From the obtained results, it is noticed that natural rubber material disk requires higher angular speed to yield at the inner surface as compared to the disk of polypropylene material. The natural rubber disk is more convenient than that of polypropylene. Keywords: • stresses • disk • deformation • yielding • angular speed |
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