Elastic-Plastic Analysis of Thick-Walled Pressure Vessels With Sharp Discontinuities

[+] Author and Article Information
P. K. Larsen, E. P. Popov

University of California, Berkeley, Calif.

J. Eng. Ind 93(4), 1016-1020 (Nov 01, 1971) (5 pages) doi:10.1115/1.3428037 History: Received February 04, 1971; Online July 15, 2010


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.

Copyright © 1971 by ASME
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