Open Access

ARTICLE

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.

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Keywords

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