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Elastic-plastic states of a radially heated thick-walled cylindrically curved panel

Elastisch-plastische Beanspruchungszustände eines radial erhitzten dickwandigen zylindrisch gekrümmten Paneels

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Abstract

A cylindrically curved panel in a state of plane strain subject to a radial temperature gradient is investigated. The ends of this thick-walled shell are presupposed to be guided in such a way that a displacement in circumferential direction may occur and that the radius of the initial middle surface remains unchanged. Then, couples act on those ends, giving rise to pure bending conditions. For a material obeying Tresca’s yield criterion and the flow rule associated with it, elastic-plastic states occurring for a heated inner and/or outer surface are studied in detail. Moreover, the residual stresses after cooling are discussed.

Zusammenfassung

Es wird ein zylindrisch gekrümmtes Paneel unter ebener Verzerrung bei Auftreten eines radialen Temperaturgradienten untersucht. Dabei wird vorausgesetzt, daß die Lagerung der dickwandigen Schale eine Verschiebung in Umfangsrichtung zulässt und daß der Radius der ursprünglichen Mittelfläche konstant bleibt. Die dann an diesen Seiten auftretenden entgegengesetzt gleichen Momente bewirken einen Zustand reiner Biegung. Für ein Material, das dem Trescaschen Fließkriterium und der zugeordneten Fließregel genügt, werden auftretende elastisch-plastische Beanspruchungszustände für den Fall einer erhitzen Innen- und/oder Außenfläche des Paneels umfassend diskutiert. Darüber hinaus werden auch die Restspannungen nach erfolgter Abkühlung angegeben.

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Acknowledgement

The authors are indebted to Prof. Dr. Udo Gamer for many helpful discussions. Furthermore, Eray Arslan gratefully acknowledges the financial support of Inonu University during the performance of parts of this investigation at Vienna University of Technology.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Inonu University, 44280, Malatya, Turkey

    E. Arslan

  2. Institute of Mechanics and Mechatronics, Vienna University of Technology, Wiedner Hauptstraße 8-10, 1040, Wien, Austria

    W. Mack

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  1. E. Arslan
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  2. W. Mack
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Correspondence to W. Mack.

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Arslan, E., Mack, W. Elastic-plastic states of a radially heated thick-walled cylindrically curved panel. Forsch Ingenieurwes 78, 1–11 (2014). https://doi.org/10.1007/s10010-014-0170-1

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  • DOI: https://doi.org/10.1007/s10010-014-0170-1

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