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

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

Esmaeil Asadzadeh PhD scholar

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Mehtab Alam

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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

Reference Format

Ivo Babusska,Uday Banerjee,John Osborn (2002). On principles for the selection of shape functions for the Generalized Finite Element Method.
I Babusska,J Osborn (1999). Can a finite element method perform arbitrarily badly?.
O Zienkiwicz,R Taylor (2005). The Finite Element Method: Its Basis and Fundamentals.
W Gui,I Babuška (1986). Theh,p andh-p versions of the finite element method in 1 dimension.
B Guo,I Babuˇska (1986). The h-pversion of the finite element method. Part 1: The basic approximation results. Part 2: General results and applications.
I Babuška,B Guo (1988). The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries.
I Babuˇska,B Guo (1989). Approximation properties of theh-pversion of the finite element element strategy. Part 1: Constrained approximation and data structure.
W Rachowicz,J Oden,L Demkowicz (1989). Toward a universalh-padaptive finite element strategy. Part 3: Design ofh-pmeshes.
Kim Bey,J Tinsley Oden (1996). hp-Version discontinuous Galerkin methods for hyperbolic conservation laws.
C Baumann,J Oden (1999). A element method for convection-diffusion problems.
P Monk (1994). On thepandhpextension of Nedelecs curlconforming elements.
Lawrence Chilton,Manil Suri (1997). ON THE SELECTION OF A LOCKING-FREEhp ELEMENT FOR ELASTICITY PROBLEMS.
L Vardapetyan,L Demkowicz (1999). hp-adaptive finite elements in electromagnetics.
B Irons (1966). Engineering Applications of Numerical Integration in Stiffness Methods.
Daryl Logan (2007). Finite Element Formulation for Beams.
I Taig (1961). Truss Analysis: Matrix Displacement Method.
M Milsted,J Hutchinson (1974). Use of trigonometric terms in the finite element method with application to vibrating membranes.
M Christian (2009). Explicit local buckling analysis of stiffened composite plates accounting for periodic boundary conditions and stiffener-plate interaction.
S Singiresu,Rao (2004). The finite Element Method in Engineering, Fourth Edition.
B Thomas,R Finney (1984). Calculus and Analytic Geometry.

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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.

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How to Cite This Article

Esmaeil Asadzadeh. 2014. \u201cC0- Continuity Isoparametric Formulation using Trigonometric Displacement Functions for One Dimensional Elements\u201d. 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
Pg. 27- 34

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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

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

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v1.2

Issue date

April 30, 2014

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Article Matrices

Total Score: 102

Country: Unknown

Subject: Global Journal of Research in Engineering - E: Civil & Structural

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

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Publish Date: 2014 04, Wed

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Total Views: 4707

Total Downloads: 2465

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