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Elastic-plastic analysis of a flat ring subject to internal pressure

Elastisch-plastische Untersuchung eines ebenen Ringes bezüglich innerer Druck-beanspruchung

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Summary

An exact elastic-plastic solution for the stresses in a flat ring subject to pressure is obtained on the basis ofJ 2 deformation theory together with a modified Ramberg-Osgood law. The results are assessed on the basis of Budiansky's criterion for the acceptability ofJ 2 deformation theory. By using exact elastic-plastic stresses, the radial enlargement and the permanent increase in thickness of the ring at the hole are obtained. Upon release of the pressure, residual stresses are produced around the hole.

Zusammenfassung

Für die Spannungen in einem flachen Ring, durch Druck belastet, wird eine exakte elastisch-plastische Lösung auf der Grundlage derJ 2 Deformationstheorie in Verbindung mit einem modifizierten Ramberg-Osgood-Gesetz erhalten. Die Ergebnisse werden auf der Basis des Kriteriums von Budiansky, für die Anwendbarkeit derJ 2 Deformationstheorie bewertet. Durch Verwendung exakter elastisch-plastischer Spannungen wird die radiale Aufweitung und die permanente Zunahme der Ringdicke am inneren Rand erhalten. Nach Wegnahme des Druckes werden Restspannungen am inneren Rand produziert.

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Authors and Affiliations

  1. Department of Mechanical Engineering, The University of New Mexico, Albuquerque, New Mexico, USA

    W. Y. Lu &  Y. C. Hsu

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  1. W. Y. Lu
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  2. Y. C. Hsu
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Lu, W.Y., Hsu, Y.C. Elastic-plastic analysis of a flat ring subject to internal pressure. Acta Mechanica 27, 155–172 (1977). https://doi.org/10.1007/BF01180083

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  • DOI: https://doi.org/10.1007/BF01180083

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