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Vol.23, No.1, 2023, pp. 61–64 |
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ELASTOPLASTIC STRESS DEFORMATION IN AN ANNULAR DISK MADE OF ISOTROPIC MATERIAL AND SUBJECTED TO UNIFORM PRESSURE Subhash Chand1, Shilpa Sood1, Pankaj Thakur2*, Kanav Gupta3 1) Department of Mathematics, Career Point University, Hamirpur, Himachal Pradesh, INDIA 2) Department of Mathematics, Faculty of Science and Technology, ICFAI University, Baddi, Solan, INDIA *email: pankaj_thakur15@yahoo.co.in 3) Department of Physics, Faculty of Science and Technology, ICFAI Univ. Baddi, Solan, INDIA
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Abstract This article deals with the study of elastoplastic stress deformation in an annular disk made of isotropic material under uniform pressure. Seth’s transition theory and generalised strain measure are used for finding the governing equation. Analytical solutions are presented for the annular disk made of compressible/incompressible material. The effects of different pertinent parameters (i.e. thickness, pressure) are considered. The behaviour of stress distribution, and pressure are investigated. From the obtained results, it is noticed that the annular disk of compressible material requires higher pressure at the inner surface as compared to the incompressible material. The value of hoop stress is maximal at the outer surface of the annular disc of compressible material as compared to incompressible material. Keywords: isotropic structure, pressure, stress concentrations, thickness, disk |
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full article (458 kB)
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