Application of special isoparametric finite elements is presented for the elastic-plastic analysis of shells of revolution. General isoparametric elements are selected which, in the form of a layered system, are capable of representing a solid of revolution. The customary Kirchhoff-Love hypothesis is not invoked and solutions therefore apply both to thin and thick shells of revolution. Sharp discontinuities in geometry, circumferential ribs and/or grooves, as well as cellular walls may be studied. A special feature is the development of an element permitting sliding at the element interfaces with or without friction. The illustrative examples include a pressure vessel with a circumferential crack in the wall thickness, and a circular plate consisting of two disks which can slide along their interface. The solutions are limited to axially symmetric problems. Flow theory of plasticity is used in the inelastic regions.
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November 1971
This article was originally published in
Journal of Engineering for Industry
Research Papers
Elastic-Plastic Analysis of Thick-Walled Pressure Vessels With Sharp Discontinuities
P. K. Larsen,
P. K. Larsen
University of California, Berkeley, Calif.
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E. P. Popov
E. P. Popov
University of California, Berkeley, Calif.
Search for other works by this author on:
P. K. Larsen
University of California, Berkeley, Calif.
E. P. Popov
University of California, Berkeley, Calif.
J. Eng. Ind. Nov 1971, 93(4): 1016-1020
Published Online: November 1, 1971
Article history
Received:
February 4, 1971
Online:
July 15, 2010
Citation
Larsen, P. K., and Popov, E. P. (November 1, 1971). "Elastic-Plastic Analysis of Thick-Walled Pressure Vessels With Sharp Discontinuities." ASME. J. Eng. Ind. November 1971; 93(4): 1016–1020. https://doi.org/10.1115/1.3428037
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