NONSMOOTH MODEL FOR PLASTIC LIMIT ANALYSIS AND ITS SMOOTHING ALGORITHM

By means of Lagrange duality of Hill＇s maximum plastic work principle theory of the convex program, a dual problem under Mises＇ yield condition has been derived and whereby a non-differentiable convex optimization model for the limit analysis is developed. With this model, it is not necessary to lin...

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Veröffentlicht in:Applied mathematics and mechanics Jg. 27; H. 8; S. 1081 - 1088
1. Verfasser: 李建宇 潘少华 李兴斯
Format: Journal Article
Sprache:Englisch
Veröffentlicht: State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian 116023,P.R.China%Department of Applied Mathematics,South China University of Technology,Guangzhou 510641,P.R.China 01.08.2006
Schlagworte:
Algorithms
Continuums
Limit load
Mathematical models
Norms
Optimization
Smoothing
Strain
塑料有限分析
对偶性
平滑法
非光滑优化
duality
nonsmooth optimization
plastic limit analysis
smoothing method
ISSN:0253-4827, 1573-2754
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Zusammenfassung:By means of Lagrange duality of Hill＇s maximum plastic work principle theory of the convex program, a dual problem under Mises＇ yield condition has been derived and whereby a non-differentiable convex optimization model for the limit analysis is developed. With this model, it is not necessary to linearize the yield condition and its discrete form becomes a minimization problem of the sum of Euclidean norms subject to linear constraints. Aimed at resolving the non-differentiability of Euclidean norms, a smoothing algorithm for the limit analysis of perfect-plastic continuum media is proposed. Its efficiency is demonstrated by computing the limit load factor and the collapse state for some plane stress and plain strain problems.
Bibliographie:O221.2
plastic limit analysis
plastic limit analysis; duality; nonsmooth optimization; smoothing method
31-1650/O1
duality
nonsmooth optimization
O344.5
smoothing method
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0808-z