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Simulation of Stress Concentration Problems by Hexahedral Hybrid-Trefftz Finite Element Models

F.L.S. Bussamra1, E.Lucena Neto1, W.M. Ponciano1
1 Instituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, SP, Brazil.

Computer Modeling in Engineering & Sciences 2014, 99(3), 255-272. https://doi.org/10.3970/cmes.2014.099.255

Abstract

Hybrid-Trefftz stress finite elements have been applied with success to the analysis of linear and non-linear problems in structural mechanics. Two independent fields are approximated: stresses within the elements and displacements on their boundary. The stress field satisfies the Trefftz constraint a priori, i.e., it is extracted from the Navier equation solution. This type of element has provided remarkable improvement in stress predictions compared to the standard displacement-based finite elements. In this work, solution of stress concentration problems is carried out by hexahedral hybrid-Trefftz stress element models. Stress concentration factors and stress intensity factors are then identified and compared with available results. The hierarchicalp-refinement strategy is exploited in the numerical tests.

Keywords

Hybrid element, Trefftz element, stress concentration, hexahedral element.

Cite This Article

Bussamra, F., Neto, E., Ponciano, W. (2014). Simulation of Stress Concentration Problems by Hexahedral Hybrid-Trefftz Finite Element Models. CMES-Computer Modeling in Engineering & Sciences, 99(3), 255–272.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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