Authors

Citation

Ars. Ponter et M. Engelhardt, Shakedown limits for a general yield condition: implementation and application for a Von Mises yield condition, EUR J MEC A, 19(3), 2000, pp. 423-445

Citations number

16

Language

INGLESE

art.tipo

Article

Categorie Soggetti

Mechanical Engineering

Journal title

EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

ISSN journal

0997-7538
→ ACNP

Volume

19

Issue

3

Year of publication

2000

Pages

423 - 445

Database

ISI

SICI code

0997-7538(200005/06)19:3<423:SLFAGY>2.0.ZU;2-Z

Abstract

The paper describes the generalisation of the programming method for the de
termination of optimal upper bound shakedown limits for an elastic/perfectl
y plastic solid given by Ponter and Carter (1997). The method is based on s
imilar principles to the 'Elastic Compensation' method which has been used
in design calculations for a number of years. A convergence proof for a gen
eral yield surface is given based upon the convexity conditions derived in
the accompanying paper on limit analysis (Ponter and Engelhardt, 2000). The
method has been implemented in the commercial code. ABAQUS, using the user
defined procedures. A sequence of examples for a Von Mises yield condition
demonstrates the ability of the method to produce stable converged solutio
ns for problems involving both cyclic load and temperature. Two unconventio
nal shakedown problems are then solved. The first involves the determinatio
n of a minimum high temperature creep rupture stress, defined as a temperat
ure varying yield stress, for a problem with a defined load and temperature
history and low temperature yield stress. Such problems occur in high temp
erature structural life assessment methods. The second involves the evaluat
ion of the loads corresponding to a prescribed average maximum creep rate f
or the creep rapid cycle solution for the Bailey-Orowan creep constitutive
relationship. These examples demonstrate the flexibility of the method in p
roducing a range of performance indicators for structures subjected to comp
lex cyclic loading (C) 2000 Editions scientifiques et medicales Elsevier SA
S.