Analytical formulation of hybrid-Trefftz thick plate elements

  • J. Petrolito La Trobe University

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.

Keywords

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.
Published
Jan 26, 2023
How to Cite
PETROLITO, J.. Analytical formulation of hybrid-Trefftz thick plate elements. Computer Assisted Methods in Engineering and Science, [S.l.], v. 10, n. 4, p. 575-585, jan. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1066>. Date accessed: 23 nov. 2024.
Citation Formats
Issue
Vol 10 No 4 (2003)
Section
Articles
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.