Deriving Shape Functions For 8-Noded Rectangular Serendipity Element in Horizontal Channel Geometry and Verified

P. Reddaiah

doi:https://doi.org/10.14445/22315373/IJMTT-V50P516

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 2 | Year 2017 | Article Id. IJMTT-V50P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P516

Deriving Shape Functions For 8-Noded Rectangular Serendipity Element in Horizontal Channel Geometry and Verified

P. Reddaiah

Abstract

In this paper, I derived shape functions for 8-noded rectangular serendipity element in horizontal channel geometry and also I verified two verification conditions for shape functions. First verification condition is sum of all the shape functions is equal to one and second verification condition is each shape function has a value of one at its own node and zero at the other nodes. For computational purpose I used Mathematica 9 Software [2].

Keywords

Serendipity element, Horizontal Channel Geometry, Shape functions.

References

[1] S.S. Bhavikatti, Finite Element Analysis, New Age International (P) Limited, Publishers, 2 nd Edition, 2010.
[2] Mathematica 9 Software, Wolfram Research, Version number 9.0.0.0, 1988-2012.

Citation :

P. Reddaiah, "Deriving Shape Functions For 8-Noded Rectangular Serendipity Element in Horizontal Channel Geometry and Verified," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 2, pp. 108-113, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P516