Shakedown limits for a general yield condition: implementation and application for a Von Mises yield condition

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.