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An algorithm for shakedown analysis of structures with temperature dependent yield stress
Author(s) -
Vu Duc Khoi,
Staat Manfred
Publication year - 2004
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200410097
Subject(s) - shakedown , limit (mathematics) , regular polygon , mathematics , limit analysis , convex optimization , mathematical optimization , yield (engineering) , algorithm , computer science , upper and lower bounds , structural engineering , materials science , engineering , composite material , mathematical analysis , geometry , finite element method
This work is an attempt to answer the question: How to use convex programming in shakedown analysis of structures made of materials with temperature‐dependent properties. Based on recently established shakedown theorems and formulations, a dual relationship between upper and lower bounds of the shakedown limit load is found, an algorithm for shakedown analysis is proposed. While the original problem is neither convex nor concave, the algorithm presented here has the advantage of employing convex programming tools. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)