Applied Mathematics and Mechanics

, Volume 33, Issue 8, pp 1059–1078

Thermal stresses in infinite circular cylinder subjected to rotation

Authors

  • A. M. Abd-Alla
    • Department of Mathematics, Faculty of ScienceTaif University
    • Department of Physics, Faculty of ScienceTaif University
    • Department of Physics, Faculty of ScienceAswan University, Aswan
Article

DOI: 10.1007/s10483-012-1605-7

Cite this article as:
Abd-Alla, A.M. & Yahya, G.A. Appl. Math. Mech.-Engl. Ed. (2012) 33: 1059. doi:10.1007/s10483-012-1605-7

Abstract

The present investigation is concerned with the effect of rotation on an infinite 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

wave propagationthermoelasticityisotropic materialrotating cylinderLamé potentialthermal stress

Chinese Library Classification

O343.6

2010 Mathematics Subject Classification

74F05

Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2012