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Best-fit stress performance of a higher-order beam element

✍ Scribed by Prathap, G. ;Vinayak, R. U.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 394 KB
Volume: 12
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199604)12:4<229::aid-cnm969>3.0.co;2-0

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✦ Synopsis

It is known that finite elements try to capture stresses within each discretized local region in a 'best-fit' sense. In the paper we examine the performance of a beam element based on a higher-order shear deformation theory and show that the best-fit paradigm accounts for the manner in which through-thethickness displacement and stresses are modelled. An a priori prediction derived from the paradigm is confirmed by a carefully chosen numerical experiment. This provides a measure of the quality of approximation as well as another 'falsification' of the best-fit paradigm.

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## Abstract Barlow was the first to propose a method to predict optimal stress recovery points in finite elements (FEs). Prathap proposed an alternative method that is based on the variational principle. The optimal points predicted by Prathap, called Prathap points in this paper, have been reporte