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

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...

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Bibliographic Details
Published in:Computer modeling in engineering & sciences 2014, Vol.99 (3), p.255-272
Main Authors: F.L.S. Bussamra, E.Lucena Neto, Ponciano, W M
Format: Article
Language:English
Subjects:
Approximation
Boundaries
Computer simulation
Finite element method
Mathematical analysis
Mathematical models
Nonlinear programming
Stress concentration
Stress distribution
Stress intensity factors
Stresses
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Summary: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.
ISSN:1526-1492
1526-1506
DOI:10.3970/cmes.2014.099.255