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Elasto-Plastic Stress Analysis in a Tube Made of Isotropic Material and Subjected to Pressure and Mechanical Load

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Abstract

This article deals with the study of elasto-plastic stress distribution in a tube made of isotropic material (say steel/copper) and subjected to uniform pressure and mechanical load. Seth’s transition theory and generalized strain measure are used for finding the governing equation. Mathematical modeling is based on stress –strain relation and equilibrium equation. Analytical solutions are presented thick walled tube made of steel and copper materials. The effects of different pertinent parameters (i.e. load and pressure) are considered for tube made of steel/copper material. The behaviour of stress distribution, and pressure rise are investigated. From the obtained results, it is noticed copper material tube requires higher dimensionless pressure to yield at the internal surface in comparison to steel material. The value of pressure decreases with increasing mechanical loads. By applying mechanical loads, the values of hoop radial stresses are increasing at the external surface of the contraction/extension region of tube. The theoretical results are validated by comparing them with those obtained by Seth after performing some significant calculation examples.

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ACKNOWLEDGMENTS

The authors are grateful to the referee for his critical comments, which led to a significant improvement of the paper.

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This research received no specific grant from any funding agency.

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Authors and Affiliations

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

    K. Gupta & R. K. Bhardwaj

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

    P. Thakur

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  1. K. Gupta
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Correspondence to P. Thakur.

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R0 = a/b, R = r/b (Radii ratio), σr = τrr/Y (Radial stress component), σθ = τθθ/Y (Circumferential stress component), L0 = l0/Y (Mechanical load), P = p/Y (Pressure)

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Gupta, K., Thakur, P. & Bhardwaj, R.K. Elasto-Plastic Stress Analysis in a Tube Made of Isotropic Material and Subjected to Pressure and Mechanical Load. Mech. Solids 57, 617–628 (2022). https://doi.org/10.3103/S002565442203013X

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