有限元法
极限(数学)
结构工程
材料科学
极限分析
有限元极限分析
数学
扩展有限元法
数学分析
工程类
作者
Antonio Capsoni,Leone Corradi
出处
期刊:Structural Engineering and Mechanics
[Techno-Press]
日期:1999-10-01
卷期号:8 (4): 325-341
被引量:42
标识
DOI:10.12989/sem.1999.8.4.325
摘要
A procedure for the computation of the load carrying capacity of perfectly plastic plates in bending is presented. The approach, based on the kinematic theorem of limit analysis, requires the evaluation of the minimum of a convex, but non-smooth, function under linear equality constraints. A systematic solution procedure is devised, which detects and eliminates the finite elements which are predicted as rigid in the collapse mechanism, thus reducing the problem to the search for the minimum of a smooth and essentially unconstrained function of nodal velocities. Both Kirchhoff and Mindlin plate models are considered. The effectiveness of the approach is illustrated by means of some examples.
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