Contact analysis using Trefftz and interface finite elements

  • Ke Y. Wang Central Queensland University
  • Manicka Dhanasekar Central Queensland University
  • Qing H. Qin Australian National University
  • Yi L. Kang Tianjin University

Abstract

Hybrid- Trefftz (HT) finite element (FE) analysis of two-dimensional elastic contact problems is addressed with the aid of interface elements and an interfacial constitutive relation. This paper presents the formulation of a four-noded HT finite element for discretizing the contacting bodies and a four-noded interface element that could be embedded in the prospective contact zone for simulating the interaction behaviour. Due to the superior performance, the Simpson-type Newton- Cotes integration scheme is utilized to compute interface element formulation numerically. In order to evaluate the applicability of the present approach two benchmark examples are investigated in detail. Comparisons have been made between the results by the present approach and analytical as well as traditional FE solutions using ABAQUS software.

Keywords

References

[1] D. Chamoret, P. Saillard, A. Rassineux, J.M. Bergheau. New smoothing procedures in contact mechanics. Journal of Computational a.nd Applied Mathematics, 168: 107- 116, 2004.
[2] R.A. Day, D.M. Potts. Zero thickness element-numerical stability and application. Int. J. Number Meth. Anal. Geomech. , 18: 689- 708, 1994.
[3] J.A.T. Freitas, Z.M. Wang. Hybrid-'Il'efftz stress elements for elastoplasticity. Int. J. Numer. Meth. Engng. , 43: 655- 683, 1998.
]4] A. Gens, I. Carol, E.E. Alonso. An interface element formulation for the analysis of soil reinforcement interaction. Computers and Geotechnics, 7: 133- 151 , 1988.
[5] R.E. Goodman, R.L. Taylor, T.L. Brekke. A model for mechanics of jointed rock. 1. Soil Mech. , Foundation ASCE, 94: 19- 43, 1968.
Published
Nov 17, 2022
How to Cite
WANG, Ke Y. et al. Contact analysis using Trefftz and interface finite elements. Computer Assisted Methods in Engineering and Science, [S.l.], v. 13, n. 3, p. 457-471, nov. 2022. ISSN 2956-5839. Available at: <https://cames.ippt.gov.pl/index.php/cames/article/view/946>. Date accessed: 13 nov. 2024.
Section
Articles

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