A triangular finite element based on assumed strains for membrane structures


Abstract views: 94 / PDF downloads: 124

Authors

  • A. Kherfi University of Djelfa
  • K. Guerraiche University of Batna 2
  • K. Zouggar University of Sidi Bel Abbès

DOI:

https://doi.org/10.59287/ijanser.52

Keywords:

Finite element method, Plane strain, Plane stress, Strain approach, Drilling rotation, Triangular element, Linear analysis

Abstract

A simple triangle strain-based element has been developed for plane stress and plane strain issues. This element has three nodes. Each of the three nodes has three degrees of freedom. The developed element can be applied to a variety of practical issues. Some membrane analysis problems are used to evaluate its performance. The obtained findings show that the present element performs well and accurately.

Downloads

Download data is not yet available.

Author Biographies

A. Kherfi, University of Djelfa

Laboratory of Development in Mechanics and Materials (LDMM), Algeria

K. Guerraiche, University of Batna 2

Mechanical Engineering Department, Faculty of Technology, Algeria

K. Zouggar, University of Sidi Bel Abbès

Laboratory of Structures and Solids Mechanics – LMSS, Faculty of Technology, Algeria

References

M. Turner, R. Clough, H. Martin, and J. Topp, “Turner et al (1956) Stiffness and deflection analysis of comlex strucutres.pdf.”.

I. C. Taig and R. I. Kerr, “Some problems in the discrete element representation of aircraft structures,” B.M. Fraeljs Veubeke, ed., Matrix Methods Struct. Anal. (Pergamon Press. London, 1964).

T. H. H. Pian and K. Sumihara, “Rational approach for assumed stress finite elements,” Int. J. Numer. Methods Eng., vol. 20, no. 9, pp. 1685–1695, Sep. 1984.

X. Xie and T. Zhou, “Optimization of stress modes by energy compatibility for 4-node hybrid quadrilaterals,” Int. J. Numer. Methods Eng., vol. 59, no. 2, pp. 293–313, Jan. 2004.

K. Y. Sze, “On immunizing five-beta hybrid-stress element models from ‘trapezoidal locking’ in practical analyses,” Int. J. Numer. Methods Eng., vol. 47, no. 4, pp. 907–920, 2000.

G. Li and L. C. Huang, “A 4-node plane parameterized element based on quadrilateral area coordinate,” Gongcheng Lixue/Engineering Mech., vol. 31, no. 7, pp. 15–22, 2014.

R. Piltner and R. L. Taylor, “A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems,” Int. J. Numer. Methods Eng., vol. 44, no. 5, pp. 615–639, 1999.

D. Boutagouga, “A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions,” Int. J. Numer. Methods Eng., vol. 110, no. 6, pp. 573–600, 2017.

C. Wang, Z. Qi, X. Zhang, and P. Hu, “Quadrilateral 4-node quasi-conforming plane element with internal parameters,” Lixue Xuebao/Chinese J. Theor. Appl. Mech., vol. 46, no. 6, pp. 971–976, Nov. 2014.

Y. Xia, G. Zheng, and P. Hu, “Incompatible modes with Cartesian coordinates and application in quadrilateral finite element formulation,” Comput. Appl. Math., vol. 36, no. 2, pp. 859–875, 2017.

X.-M. Chen, S. Cen, Y.-Q. Long, and Z.-H. Yao, “Membrane elements insensitive to distortion using the quadrilateral area coordinate method,” Comput. Struct., vol. 82, no. 1, pp. 35–54, 2004.

S. Cen, P. L. Zhou, C. F. Li, and C. J. Wu, “An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal’s theorem,” Int. J. Numer. Methods Eng., vol. 103, no. 7, pp. 469–500, Aug. 2015.

R. H. Macneal and R. L. Harder, “A proposed standard set of problems to test finite element accuracy,” Finite Elem. Anal. Des., vol. 1, no. 1, pp. 3–20, Apr. 1985.

J.-L. Batoz and G. Dhatt, “Modélisation des structures par éléments finis. Volume 1, Poutres et plaques,” 1990.

R. AYAD, “Eléments finis de plaque et coque en formulation mixte avec projection en cisaillement,” Compiègne, 1993.

R. D. Cook and H. Saunders, “Concepts and Applications of Finite Element Analysis (2nd Edition),” J. Press. Vessel Technol., vol. 106, no. 1, pp. 127–127, 1984.

Downloads

Published

2020-12-31

How to Cite

Kherfi, A., Guerraiche, K., & Zouggar, K. (2020). A triangular finite element based on assumed strains for membrane structures. International Journal of Advanced Natural Sciences and Engineering Researches, 4(1), 1–5. https://doi.org/10.59287/ijanser.52

Issue

Section

Articles