T-element analysis of plates on unilateral elastic Winkler-type foundation

  • Jaroslav Jirousek LSC-DGC, Swiss Federal Institute of Technology (EPFL)
  • Andrzej P. Zieliński Cracow University of Technology
  • Adam Wróblewski Cracow University of Technology

Abstract

This paper presents a hybrid-Trefftz finite element algorithm designated as fictitious load approach. Its originality resides in the formulation and practical application of concepts which make it possible to account for the unilateral contact conditions of a plate without modification of the finite element mesh. To reach this aim, the approach allows the movable interface between the contact and non-contact parts of the plate to travers any finite element subdomain. The adjustments are confined to fictitious load dependent terms, while the element stiffness matrices remain unchanged during the whole iterative process. Several numerical examples are analysed to assess the effectivity of the T-element algorithm and to compare it with some of the existing solutions of the same problem.

Keywords

finite elements, Trefftz method, contact problem,

References

[1] G. Bezine. A new boundary element method for bending of plates on elastic foundations. Int. J. Solids Struct. , 24(6): 556- 565, 1988.
[2] J .A. Costa, C.A. Brebia. The boundary element method applied to plates on elastic foundations. Engng. Anal., 2(4): 174-183, 1985.
[3] I. Herrera. Boundary Methods - an Algebraic Theory. Pitman Advanced Publishing Program, Boston-London-Melbourne, 1984.
[4] X. Jiarun, X. Shouze. Application of LCEM of the plate bending problems with contact conditions. In: Proceedings of the Fifth East Asia-Pacific Conference on Structural Engineering and Construction, pp. 139- 144, Queensland, Australia, 1995.
[5] J . Jirousek. Basis for development of large finite elements locally satisfying all field equations. Comput. Methods Appl. Mech. Engrg., 14: 65- 92, 1978.
Published
Mar 2, 2023
How to Cite
JIROUSEK, Jaroslav; ZIELIŃSKI, Andrzej P.; WRÓBLEWSKI, Adam. T-element analysis of plates on unilateral elastic Winkler-type foundation. Computer Assisted Methods in Engineering and Science, [S.l.], v. 8, n. 2-3, p. 343-358, mar. 2023. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/1174>. Date accessed: 21 nov. 2024.
Section
Articles