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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Bibliographic Details
Published in:Applied mathematics and mechanics 2006-08, Vol.27 (8), p.1081-1088
Main Author: 李建宇 潘少华 李兴斯
Format: Article
Language:English
Subjects:
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
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Summary: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.
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-006-0808-z