General strategy of h-p adaptive solutions in structural Trefftz-type element analysis

Authors

  • Bogdan Szybiński Cracow University of Technology
    Poland
  • Adam Wróblewski Cracow University of Technology
    Poland
  • Andrzej P. Zieliński Cracow University of Technology
    Poland

Abstract

The paper deals with a strategy of reliable application of the Trefftz elements in the linear analysis of complex engineering structures with stress concentrators. The standard p-adaptivity is suggested in the low gradient areas. For selected large-gradient local zones certain specific T-element substructures are proposed. The h-p adaptive procedures for optimization of parameters of the substructures are numerically investigated.

References

[1] ANSYS - User Manual, Release 5.4. Swanson Analysis System Inc., 1997.
[2] I. Babuška, B. Szabo, LN. Katz. The p-version of the finite element method. SIAM J. Num. Anal., 18: 515- 545, 1981.
[3] J. Jirousek. Basis for development of large finite elements locally satisfying all field equations. Camp. Meth. Appl. in Mech. Engrg., 14: 65- 92, 1978.
[4] J . Jirousek. Hybrid-Trefftz plate bending elements with p-method capabilities. Int. J. Numer. Meth. Engrg., 24: 1367- 1393, 1987.
[5] J . Jirousek, B. Szybiński, A. Wróblewski. Mesh design and reliability assurance in hybrid-Trefftz p-element approach. Finite Elem. in Anal. and Design, 22: 225- 247, 1996.

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Published

2023-03-24

Issue

Vol. 8 No. 2-3 (2001)
pp. 469-477

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

Szybiński, B., Wróblewski, A., & Zieliński, A. P. (2023). General strategy of h-p adaptive solutions in structural Trefftz-type element analysis. Computer Assisted Methods in Engineering and Science, 8(2-3), 469-477. https://cames3.ippt.pan.pl/index.php/cames/article/view/1189