Deriving Shape Functions for 9-Noded Rectangular Elment by using Lagrange Functions in Natrual Coordinate System and Verified

P. Reddaiah

doi:https://doi.org/10.14445/22315373/IJMTT-V51P560

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 51 | Number 6 | Year 2017 | Article Id. IJMTT-V51P560 | DOI : https://doi.org/10.14445/22315373/IJMTT-V51P560

Deriving Shape Functions for 9-Noded Rectangular Elment by using Lagrange Functions in Natrual Coordinate System and Verified

P. Reddaiah

Abstract

In this paper, I derived shape functions for 9-noded rectangular element by using Lagrange functions in natural coordinate system 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

Rectangualar element, Lagrange functions, Shape functions.

References

[1] S.S. Bhavikatti, Finite Element Analysis, New Age International (P) Limited, Publishers, 2ndEdition, 2010.
[2] Mathematica 4, Version number 4.1.0.0 Software, Wolfram Research 1988-2000.

Citation :

P. Reddaiah, "Deriving Shape Functions for 9-Noded Rectangular Elment by using Lagrange Functions in Natrual Coordinate System and Verified," International Journal of Mathematics Trends and Technology (IJMTT), vol. 51, no. 6, pp. 429-433, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V51P560