Analysis of stress in a solid cylinder with periodic heat generation

Varlı, Ekin
Thermoelastic stress response of a periodic heat generating solid cylinder is investigated by analytical means. The cylinder is initially at zero temperature. For times greater than zero, heat is generated internally and slowly at a time dependent rate. Two periodic heat generation rates are used. The temperature distribution in the solid cylinder corresponding to each generation rate is obtained by making use of Duhamel’s theorem. An uncoupled thermoelastic solution of the solid cylinder is then obtained under generalized plane strain condition. The effects of various parameters on the stress and deformation behavior of the cylinder are studied and presented in graphical forms.


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Yedekçi, Buşra; Eraslan, Ahmet Nedim; Department of Engineering Sciences (2015)
An analytical model is developed to investigate the thermoelastic response of a solid cylinder subjected to periodic boundary condition. Time dependent periodic boundary condition for the solid cylinder is treated by the help of Duhamel's theorem. The corresponding thermoelastic equation is obtained in terms of radial displacement by using basic equations of elasticity under generalized plane strain presupposition. Analytical solution of the thermoelastic equation is obtained to determine the distributions ...
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Orcan, Y; Gulgec, M (2000-08-01)
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APATAY, TUNÇ; Eraslan, Ahmet Nedim (2018-01-01)
ANALYTICAL SOLUTIONS ARE DERIVED TO ANALYZE elastic limit heat loads in tubes subjected to periodic surface temperatures. The tube is initially at zero temperature and for the times greater than zero one of the surfaces of the cylinder is subject to a periodic boundary condition while the other surface is insulated. For the transient temperature distribution, the heat conduction equation is solved by using Duhamel's theorem. The uncoupled theory of thermoelasticity is used as the cylinder is heated or coole...
Citation Formats
E. Varlı, “Analysis of stress in a solid cylinder with periodic heat generation,” M.S. - Master of Science, Middle East Technical University, 2015.