Limit analysis of plates and isoperimetric inequalities

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Abstract

A general isoperimetric inequality for the collapse loads of uniformly loaded, edge supported rigid-plastic plates of arbitrary shape is established. The inequality provides a lower bound to this load and involves just the length of the perimeter and the area of the collapsing region of the plate. This paper establishes a proof, under certain restrictions, of this inequality which to-date has been just a conjecture.

Publisher

The Royal Society

Subject

Pharmacology (medical),Complementary and alternative medicine,Pharmaceutical Science

Reference51 articles.

1. A Ilen J. D . 1992 M .E. thesis U n IV ersity o f A uckland N ew Z ealand.

2. B ach C. 1920 Elastizitat und festigkeit 8th edn. Berlin: Springer.

3. B andle C. 1980 Isoperimetric inequalities and applications. L o n d o n : P itm an .

4. Burago Y u. D . & Zalgeller V. A. 1980 Geometric inequalities. (T ranslated from R ussian b y A. B. S ossinsky.) Springer-Verlag.

5. The collapse load of reinforced concrete plate

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Discussion;International Journal of Mechanical Sciences;2002-09

2. Computing Limit Loads by Minimizing a Sum of Norms;SIAM Journal on Scientific Computing;1998-05

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