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TECHNICAL PAPERS

Bifurcation of Elastoplastic Pressure-Sensitive Hollow Cylinders

[+] Author and Article Information
P. Papanastasiou

Schlumberger Cambridge Research, Cambridge CB3 0EL, England

D. Durban

Technion, Haifa 32000, Israel

J. Appl. Mech 66(1), 117-123 (Mar 01, 1999) (7 pages) doi:10.1115/1.2789138 History: Received December 23, 1997; Revised September 07, 1998; Online October 25, 2007

Abstract

A linear bifurcation analysis is presented for pressure sensitive elastoplastic hollow cylinders under radial surface loads. Material response is modeled by flow and deformation theories of the Drucker-Prager solid accounting for arbitrary hardening. Sample calculations are given for cylinders that deform in axially symmetric patterns under uniform radial pressure applied at the boundaries. No bifurcation points were found with flow theory in the realistic range of stress though the primary equilibrium path is nearly identical for both theories. For thick-walled cylinders the dominant bifurcation mode predicted by deformation theory appears to be a circumferential surface instability. Deformation theory results for bifurcations are apparently not sensitive to deviations from associativity.

Copyright © 1999 by The American Society of Mechanical Engineers
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