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Deriving Shape Functions for 12-Noded Quartic Serendipity Element and Verified Two Verification Conditions


Affiliations
1 Global College of Engineering and Technology, Kadapa, Andhra Pradesh, India
     

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In this paper, I derived shape functions for 12-noded quartic serendipity element by using natural Co-ordinate 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 we use Mathematica 4 Software [3].

Keywords

Serendipity Quartic Element, Natural Co-Ordinate System, Shape Functions, 12-Noded, Mathematica 4 Software.
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  • Reddaiah P, Prasada Rao DRV. Deriving vertices, shape functions for Elliptic Duct Geometry and verified two verification conditions. International Journal of Scientific & Engineering Research. May-2017; Volume 8: Issue 5.

  • Bhavikatti S.S. Finite Element Analysis. New Age International (P) Limited, Publishers. 2010; 2nd Edition.

  • Mathematica 4 Software. Wolfram Research. 1988-2000; Version number 4.1.0.0.


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  • Deriving Shape Functions for 12-Noded Quartic Serendipity Element and Verified Two Verification Conditions

Abstract Views: 403  |  PDF Views: 0

Authors

P. Reddaiah
Global College of Engineering and Technology, Kadapa, Andhra Pradesh, India

Abstract


In this paper, I derived shape functions for 12-noded quartic serendipity element by using natural Co-ordinate 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 we use Mathematica 4 Software [3].

Keywords


Serendipity Quartic Element, Natural Co-Ordinate System, Shape Functions, 12-Noded, Mathematica 4 Software.

References