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Vol.23, No.3, 2023, pp. 293–297 |
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STRUCTURAL BEHAVIOUR OF ANNULAR ISOTROPIC DISK MADE OF STEEL/COPPER MATERIAL WITH GRADUALLY VARYING THICKNESS SUBJECTED TO INTERNAL PRESSURE Namrata Singh1, Jatinder Kaur1, Pankaj Thakur2*, Gundagani Murali3 1) Department of Mathematics, Chandigarh University Mohali, Punjab, INDIA 2) Department of Mathematics, ICFAI University Baddi, Solan, Himachal Pradesh, INDIA *email: pankaj_thakur15@yahoo.co.in 3) Department of Mathematics, Sreenidhi University, Yamnampet, INDIA
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Abstract This article deals with the study of stress analysis in an annular isotropic disk made of steel/copper material with gradually varying thickness and subjected to internal pressure. Analysis is based on Seth’s transition theory, generalised strain measure and Hooke’s law. Convergent and divergent disks are considered. Analytical solutions for stress distribution and critical pressure are obtained. The effects of different pertinent parameters (i.e. thickness and pressure) are considered for the annular isotropic disk made of steel and copper material. From the obtained results it is noticed that disk made of copper material requires a maximal hoop stress at the outer surface of the convergent case, but reverse results are obtained in the case of uniform/divergent case. Keywords: stress, pressure, copper, steel, disk |
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