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 |
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| container_title | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences |
| container_volume | 347 |
| creator | Allen, J. D. Collins, I. F. Lowe, P. G. |
| description | 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. |
| doi_str_mv | 10.1098/rsta.1994.0041 |
| format | Article |
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| ispartof | Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 1994-04, Vol.347 (1682), p.113-137 |
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| language | eng |
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| source | Jstor Complete Legacy; Periodicals Index Online; JSTOR Mathematics & Business |
| subjects | 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 |
| title | Limit Analysis of Plates and Isoperimetric Inequalities |
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