Collapse of Thick Cylinders Under Radial Pressure and Axial Load

[+] Author and Article Information
Leone Corradi, Fulvio Trudi

Department of Nucelar Engineering,  Politecnico di Milano, Via Ponzio 34∕3, 20133 Milan, Italy

Lelio Luzzi

Department of Nucelar Engineering,  Politecnico di Milano, Via Ponzio 34∕3, 20133 Milan, Italylelio.luzzi@polimi.it

J. Appl. Mech 72(4), 564-569 (Nov 02, 2004) (6 pages) doi:10.1115/1.1938204 History: Received May 27, 2004; Revised November 02, 2004

This paper provides the theoretical collapse loads of thick, long cylindrical shells subject to pressure and axial forces. Tubes are made of isotropic, perfectly plastic von Mises’ material. Axial strains are assumed to be constant but possibly different from zero, so that elongation is permitted. This assumption, together with axial symmetry and the isochoric nature of plastic flow, unambiguously defines the set of possible collapse mechanisms, and collapse loads are computed on this basis. Results are contrasted to those presently available, based on thin-shell assumptions. Comparison shows that differences are of engineering significance, well worth considering for thick tubes, such as those envisaged in some nuclear power plant applications.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Geometry and load conditions

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Figure 2

Hydrostatic pressure

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Figure 3

Limit external pressure

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Figure 7

Comparison of collapse levels, elastic limits, and thin-shell approximation

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Figure 4

External pressure versus axial load interaction curves

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Figure 5

Collapse limit for different q,p,n combinations

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Figure 6

Internal pressure versus axial load interaction curves



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