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Published in:
Initial Attempts on CAD/CAE Integration Read chapter Read first chapter

2019 | OriginalPaper | Chapter

9. Plate Bending Macroelements

Author : Christopher G. Provatidis

Published in: Precursors of Isogeometric Analysis

Publisher: Springer International Publishing

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Abstract

This chapter deals with plate bending analysis applying several CAD-based interpolations. First the performance of boundary-only Coons interpolation is studied; it will be shown that its simplest form coincides with the well-known BFS element of mid-1960s. Then Gordon interpolation is used (i.e., internal nodes are inserted) in order to improve the accuracy of the numerical solution; it will be shown that the Hermite tensor-product element is a special case. The applicability of Bernstein–Bézier interpolation, as a substitute of Lagrange and Hermite polynomials, is discussed in detail. Also, the use of B-splines is examined and it is clearly shown that the barriers are broken when a control points-based tensor product is applied to curvilinear domains. Numerical examples include rectangular and circular thin plates which are solved using a single macroelement.

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previous chapter Rational Elements (BEZIER, NURBS)
next chapter Three-Dimensional Macroelements
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Metadata
Title
Plate Bending Macroelements
Author
Christopher G. Provatidis
Copyright Year
2019
Book
Precursors of Isogeometric Analysis

Print ISBN: 978-3-030-03888-5

Electronic ISBN: 978-3-030-03889-2

Copyright Year: 2019

DOI
https://doi.org/10.1007/978-3-030-03889-2_9

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