Limit analysis for a general class of yield conditions

Citation
Ars. Ponter et al., Limit analysis for a general class of yield conditions, EUR J MEC A, 19(3), 2000, pp. 401-421
Citations number
13
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
401 - 421
Database
ISI
SICI code
0997-7538(200005/06)19:3<401:LAFAGC>2.0.ZU;2-1
Abstract
The paper describes a generalisation of the programming method described by Ponter and Carter (1997) for the evaluation of optimal upper bounds on the limit load of a body composed of a rigid/perfectly plastic material. The m ethod is based upon similar principles to the 'Elastic Compensation' method which has been used for design calculations for some years but re-interpre ted as a non-linear programming method. A sufficient condition for converge nce is derived which relates properties of the yield surface to those of th e linear solutions solved at each iteration. The method is demonstrated thr ough an application to a Drucker-Prager yield condition in terms of the Von Mises effective stress and the hydrostatic pressure. Implementation is sho wn to be possible using the user routines in a commercial finite element co de, ABAQUS. The examples chosen indicate that stable convergent solutions m ay be obtained. There are, however, limits to the application of the method if isotropic linear solutions are used for an isotropic yield surface. In an accompanying paper (Ponter and Engelhardt, 2000) the method is extended to shakedown and related problems. (C) 2000 Editions scientifiques et medic ales Elsevier SAS.