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Finite element criteria for some shells

โœ Scribed by L. S. D. Morley

Publisher
John Wiley and Sons
Year
1984
Tongue
English
Weight
752 KB
Volume
20
Category
Article
ISSN
0029-5981

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โœฆ Synopsis

Simple solutions are extracted from the exact compatibility equations of inextensional bending for a special class of shell shapes, and it is speculated that these solutions provide useful criteria towards evaluating finite elements for these and closely related shapes. Curved finite elements of a quadratic parametric representation, which d o not belong to the special class, are then studied. By using a series of exact inqxtensional bending displacements, it is concluded from numerical evidence that the criteria apply t o finite element shapes in this representation when they are shallow, as is usually the case in practice. Criteria for homogeneous membrane actions folrow from Gol'denveizer's static-geometric analogue.

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