Vol.25, No.1, 2025, pp. 42–47
https://doi.org/10.69644/ivk-2025-01-00
42 

SAFETY ANALYSIS IN AN ELASTOPLASTIC ORTHOTROPIC ROTATING CYLINDER UNDER STEADY STATE TEMPERATURE

Pankaj Thakur1* , Anu Sharma2

1) Department of Mathematics, ICFAI University, Himachal Pradesh, INDIA

https://orcid.org/0000-0001-8119-2697 , *email: pankaj_thakur15@yahoo.co.in

2) Department of Mathematics, Mata Sundri College for Women, University of Delhi, New Delhi, INDIA

https://orcid.org/0009-0006-7892-7529 

 

Abstract

This article deals with the study of non-homogeneity on the stresses and temperature distribution in a thick-walled circular cylinder by using generalised strain measure. Mathematical modelling is based on stress-strain relation, nonlinear differential equation and equilibrium equation. The effects of temperature and pressure are considered for the non-homogeneous thick-walled circular cylinder. The behaviour of stress distribution, pressure, and temperature are investigated. From the obtained results, it is noticed that hoop stress is maximal at outer surface for non-homogeneous circular cylinder and non-homogeneity increases the tangential stress at outer surface significantly. The thermal effects reduce the tangential stress at the external surface of a non-homogeneous circular cylinder extensively. Results are discussed numerically and graphically.

Keywords: • stress • pressure • temperature • cylinder • yielding  

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