On a problem of minimum weight design-Reference-Cited by-同舟云学术

On a problem of minimum weight design

Published:1961 Issue:2 Volume:19 Page:127-135
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Mróz Zenon

Abstract

A problem of optimal design for perfectly plastic, isotropic structures is analyzed. It is shown that for such structures as plates or shells, an extremum of the volume, if it exists, is either a local maximum or a minimum.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1961-19-02/S0033-569X-1961-0135327-2/S0033-569X-1961-0135327-2.pdf

Reference15 articles.

1. H. G. Hopkins and W. Prager, Limits of economy of material in plates, J. Appl. Mech. 22, 372–374 (1955)

2. W. Prager, Minimum weight design of plates, De Ing. 67, 141–142 (1955)

3. Minimum weight design of circular plates;Freiberger, Walter;J. Mech. Phys. Solids,1956

4. D. C. Drucker and R. T. Shield, Design for minimum weight, Proc. 9th Intern. Congr. Appl. Mech., Brussels, 1956

5. Bounds on minimum weight design;Drucker, D. C.;Quart. Appl. Math.,1957

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