C0- Continuity Isoparametric Formulation using Trigonometric Displacement Functions for One Dimensional Elements

Esmaeil Asadzadeh

C0- Continuity Isoparametric Formulation using Trigonometric Displacement Functions for One Dimensional Elements

Esmaeil Asadzadeh * § PhD scholar

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Jamia Millia Islamia

C0- Continuity Isoparametric Formulation using Trigonometric Displacement Functions for One Dimensional Elements

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Abstract

This is an original research on the selection of the trigonometric shape functions in the finite element analysis of the one dimensional elements. A new family of C0-continuity elements is introduced using the trigonometric interpolation model. To relate the natural and global coordinate system for each element of specific structure (i.e. transformation mapping) in one dimensional element a new trigonometric function is used and the new determinant has been introduced instead of polynomial function and Jacobian determinant. The new introduced trigonometric determinant allows for the state of constant strain within the element satisfying the completeness requirement. However, this cannot be achieved using the Jacobian determinant to relate the coordinates while using the trigonometric functions. The finite element formulation presented in this paper gives comparable results with exact solution for all kinds of one dimensional analysis.

References

20 Cites in Article

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Esmaeil Asadzadeh. 2014. "C0- Continuity Isoparametric Formulation using Trigonometric Displacement Functions for One Dimensional Elements". Global Journal of Research in Engineering - E: Civil & Structural GJRE-E Volume 14 (GJRE Volume 14 Issue E1).

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GJRE Volume 14 Issue E1

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Journal Specifications

Crossref Journal DOI 10.17406/gjre

Print ISSN 0975-5861

e-ISSN 2249-4596

Keywords

c0- continuity element Finite Element Method isoparametric concept trigonometric shape functions

Classification

GJRE-E Classification FOR Code: 090599

090506

Submission ReceivedDecember 13, 2013
Peer Review Double Blind
Handling Editor
Accepted December 31, 2013
Published January 15, 2014

Version of record

v1.2

Issue date

April 30, 2014

Language

English

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Article Matrices

Total Score: 82

Country: Iran

Subject: Global Journal of Research in Engineering

Authors: Esmaeil Asadzadeh, Mehtab Alam (PhD/Dr. count: 0)

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