Thermal stresses in infinite circular cylinder subjected to rotation

doi:10.1007/s10483-012-1605-7

Applied Mathematics and Mechanics (English Edition) ›› 2012, Vol. 33 ›› Issue (8): 1059-1078.doi: https://doi.org/10.1007/s10483-012-1605-7

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Thermal stresses in infinite circular cylinder subjected to rotation

A. M. ABD-ALLA¹, G. A. YAHYA^2,3

1. Department of Mathematics, Faculty of Science, Taif University, Saudi Arabia;
2. Department of Physics, Faculty of Science, Taif University, Saudi Arabia;
3. Department of Physics, Faculty of Science, Aswan University, Aswan 81528, Aswan, Egypt

Received:2011-06-13 Revised:2012-03-09 Online:2012-08-10 Published:2012-08-10

Abstract

Abstract: The present investigation is concerned with the effect of rotation on an infi- nite circular cylinder subjected to certain boundary conditions. An analytical procedure for evaluation of thermal stresses, displacements, and temperature in rotating cylinder subjected to thermal load along the radius is presented. The dynamic thermal stresses in an infinite elastic cylinder of radius a due to a constant temperature applied to a variable portion of the curved surface while the rest of surface is maintained at zero temperature are discussed. Such situation can arise due to melting of insulating material deposited on the surface cylinder. A solution and numerical results are obtained for the stress components, displacement components, and temperature. The results obtained from the present semi-analytical method are in good agreement with those obtained by using the previously developed methods.

Key words: Ishikawa iterative process, Φ-stongly pseudocontractive operators, uniformly smooth Banach spaces

2010 MSC Number:

O343.6

A. M. ABD-ALLA;G. A. YAHYA. Thermal stresses in infinite circular cylinder subjected to rotation. Applied Mathematics and Mechanics (English Edition), 2012, 33(8): 1059-1078.

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References

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Thermal stresses in infinite circular cylinder subjected to rotation

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