Effect of a temperature cycle on a rotating elastic–plastic shaft

Arslan, Eray; Mack, Werner; Eraslan, Ahmet N.

doi:10.1007/s00707-007-0549-2

Cited by 13 publications

(15 citation statements)

References 43 publications

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“…This exibility is one point that di erentiates this work from earlier theoretical studies. In the loading unloading studies of Arslan et al [10] and Kaya [12], the heating of the surface is realized by a linearly increasing temperature with time to a certain temperature, then it is kept at that temperature for some time, and then lowered with the same rate to the initial temperature of zero. This loop has been considered as one cycle, and all subsequent treatment has been performed accordingly.…”

Section: Discussionmentioning

confidence: 99%

“…An analytical solution has been made possible by the use of the nite Hankel transform in a general form. The e ect of the application of transient boundary condition in the form of a temperature cycle on partially plastic response of rotating sha s has been the topic of the detailed analytical investigation by Arslan et al [10]. Thermal loading into the partially plastic state and unloading of the cylinder has been studied.…”

Section: Introductionmentioning

confidence: 99%

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Analytical solution to thermal loading and unloading of a cylinder subjected to periodic surface heating

Eraslan

Apatay

2016

Journal of Thermal Stresses

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An attempt is made to develop an analytical model for the prediction of thermal loading into a partially plastic state and unloading into an elastic state of a cylinder subjected to periodic boundary condition. The uncoupled theory of thermoelasticity is used as the cylinder is heated or cooled slowly. Transient temperature distribution in the cylinder is obtained by the use of Duhamel's theorem. It is assumed that the ends of the cylinder are free and hence a state of generalized plane strain is operative in the axial direction. An elastic and two plastic regions with di erent mathematical forms of Tresca's yield condition are formulated and solved analytically. Linearly hardening material behavior is assumed. Sudden unloading approximation is used to model unloading into a plastically predeformed elastic region. The model is veri ed in comparison to a purely numerical solution and by observing satisfaction of equilibrium, interface, and boundary conditions in every stage of deformation. ARTICLE HISTORY

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Analytical solution to thermal loading and unloading of a cylinder subjected to periodic surface heating

Eraslan

Apatay

2016

Journal of Thermal Stresses

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“…2 Elastic-plastic states With the above presuppositions, a certain type of behaviour is found to be typical [4]. That is, at the axis of the shaft two plastic regions emerge simultaneously.…”

Section: Introductionmentioning

confidence: 99%

“…Thereafter, the unloaded region spreads rapidly into the plastic zone. The exact calculation of this procedure is very intricate but, as is shown in [4], not really necessary. Hence, sudden unloading in the entire plastic zone at t=t u is assumed [6], yielding a very good approximation.…”

Section: Introductionmentioning

confidence: 99%

Transient heating of a rotating elastic‐plastic solid shaft

Arslan

Mack

Eraslan

2008

Proc Appl Math and Mech

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“…Depending on the (constant) temperature difference between the outer and the inner surface, ∆T = T b − T a ≤ 0, several qualitatively different types of solutions may occur; this was discussed comprehensively in [6]. In the present contribution, special attention is paid to the effect of different temperature differences at the same angular speed.…”

Section: Introductionmentioning

confidence: 99%