Abstract
Subject of this analytical investigation is a rotating two-layered hollow cylinder under generalized plane strain subject to an elevated temperature at the inner surface or to internal pressure. It is presupposed that the inner cylindrical layer consists of the heavier material, whereas the outer layer is made of a material with lower density, like for example in a steel/aluminum tube. Criterion for the maximum permissible stress is the yield criterion by von Mises, and the device is optimized with respect to its weight. It is found that plasticization may start at different radii, and the study provides not only a comprehensive overview of the elastic limits of composite tubes of the above type but also a straightforward procedure for determining the optimum composition.
Zusammenfassung
Es werden rotierende zweischichtige Hohlzylinder unter verallgemeinerter ebener Verzerrung und erhöhter Temperatur der Innenwand oder Innendruck auf analytischem Wege untersucht. Es wird vorausgesetzt, daß die innere Schicht aus schwererem und die äuß ere aus leichterem Material besteht, wie etwa in Stahl/Aluminium-Behältern. Die maximal zulässige Spannung wird durch das Fließ kriterium nach von Mises bestimmt, und die Behälter werden bezüglich ihres Gewichts optimiert. Wie gezeigt wird, kann die Fließ grenze an unterschiedlichen Radien erreicht werden, und es werden in dieser Studie sowohl die elastischen Grenzlasten umfassend diskutiert als auch Flussdiagramme zur direkten Bestimmung des jeweiligen optimalen Radienverhältnisses angegeben.
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Apatay, T., Mack, W. On the optimum design of rotating two-layered composite tubes subject to internal heating or pressure. Forsch Ingenieurwes 79, 109–122 (2015). https://doi.org/10.1007/s10010-016-0194-9
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DOI: https://doi.org/10.1007/s10010-016-0194-9