LIMIT ANALYSIS OF PLATES AND ISOPERIMETRIC-INEQUALITIES

Authors
ALLEN JD COLLINS IF LOWE PG
Citation
Jd. Allen et al., LIMIT ANALYSIS OF PLATES AND ISOPERIMETRIC-INEQUALITIES, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 347(1682), 1994, pp. 113-137
Citations number
51
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Philosophical transactions-Royal Society of London. Physical sciences and engineering → ACNP
ISSN journal
09628428
Volume
347
Issue
1682
Year of publication
1994
Pages
113 - 137
Database
ISI
SICI code
0962-8428(1994)347:1682<113:LAOPAI>2.0.ZU;2-D
Abstract
A general isoperimetric inequality for the collapse loads of uniformly loaded, edge supported rigid-plastic plates of arbitrary shape is est ablished. The inequality provides a lower bound to this load and invol ves just the length of the perimeter and the area of the collapsing re gion of the plate. This paper establishes a proof, under certain restr ictions, of this inequality which to-date has been just a conjecture.