Transient Thermoelastic Analysis of Pressurized Thick Spheres Subjected to Arbitrary Boundary and Initial Conditions

Sanaz Mohammadi; Mohammad Zamani Nejad   and Azam Afshin

doi:10.17485/ijst/2015/v8i36/48589

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Transient Thermoelastic Analysis of Pressurized Thick Spheres Subjected to Arbitrary Boundary and Initial Conditions

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i36/48589

Year: 2015, Volume: 8, Issue: 36, Pages: 1-8

Original Article

Transient Thermoelastic Analysis of Pressurized Thick Spheres Subjected to Arbitrary Boundary and Initial Conditions

Sanaz Mohammadi, Mohammad Zamani Nejad^* and Azam Afshin

Mechanical Engineering Department, Yasouj University, P. O. Box 75914-353, Yasouj, Iran; [email protected]

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

The current study considers the theoretical transient treatment of pressurized thick-walled hollow spheres while they are subjected to arbitrary boundary and initial conditions. Under generalized assumptions and using the basic thermoelasticity theory, the thermoelastic problem is solved. By utilizing the Eigen function method, generalized Bessel function and separation of variables, an attempt is made to analyze the transient temperature in the one-dimensional state. In this paper, the resultant relations of the present study are capable of being applied to any arbitrary boundary and initial conditions. Temperature, displacement and thermal stresses are plotted in some figures. In this study, the values are arbitrarily chosen.
Keywords: Arbitrary Boundary, Arbitrary Initial Conditions, Thermoelastic, Thick Sphere, Transient