Analytical formulation of hybrid-Trefftz thick plate elements

Authors

  • J. Petrolito La Trobe University
    Australia

Abstract

This paper discusses a domain-based formulation for hybrid-Trefftz thick plate elements. The formulation can be applied to triangular and quadrilateral elements, and enables an analytical formulation of these elements to be used. Techniques for improving the computational efficiency are explored, and a simple and accurate triangular element is formulated in this manner.

References

[1] O.C. Zienkiewicz, R.L. Taylor. The Finite Element Method, volume 2. Butterworth-Heinemann, Oxford, fifth edition, 2000.
[2] S.P. Timoshenko, S. Woinowsky-Krieger. Theory of Plates and Shells. McGraw-Hill, New York, second edition, 1959.
[3] R.D. Mindlin. Influence of rotatory inertia and shear on flexural motion of isotropic plates. Journal of Applied Mechanics, 23: 31- 38, 1951.
[4] J. Petrolito. A modified ACM element for thick plate analysis. Computers and Structures, 32: 1303- 1310, 1989.
[5] J. Petrolito. Hybrid-Trefftz quadrilateral elements for thick plate analysis. Computer Methods in Applied Mechanics and Engineering, 78: 331- 351, 1990.

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Published

2023-01-26

Issue

Vol. 10 No. 4 (2003)
pp. 575-585

Section

Articles

License

Copyright © The Author(s).

This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.

How to Cite

Petrolito, J. (2023). Analytical formulation of hybrid-Trefftz thick plate elements. Computer Assisted Methods in Engineering and Science, 10(4), 575-585. https://cames3.ippt.pan.pl/index.php/cames/article/view/1066