Limit Analysis of Plates and Isoperimetric Inequalities

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. T...

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Veröffentlicht in:	Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences physical, and engineering sciences, 1994-04, Vol.347 (1682), p.113-137
Hauptverfasser:	Allen, J. D., Collins, I. F., Lowe, P. G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Angular velocity Bending Classical and quantum physics: mechanics and fields Classical mechanics of continuous media: general mathematical aspects Classical mechanics of discrete systems: general mathematical aspects Curvature Elasticity, plasticity: general mathematical aspects Energy dissipation Exact sciences and technology Hodographs Mathematical inequalities Physics Plate theory Static elasticity Surface contours Symmetry Vertices
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Beschreibung
Zusammenfassung:	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.
ISSN:	1364-503X 0962-8428 1471-2962 2054-0299
DOI:	10.1098/rsta.1994.0041