Three-dimensional hybrid-mixed stress elements for free vibration analysis

Hexahedral hybrid-mixed finite elements are proposed for free vibration analysis of three-dimensional solids. The element formulation relies on the simultaneous and independent approximations of stress and displacement in the element domain as well as the displacement on their boundary. Sets of comp...

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Bibliographic Details
Published in:Finite elements in analysis and design 2018-02, Vol.140, p.50-58
Main Authors: Bussamra, F.L.S., Lucena Neto, E., Cardoso, F.R.
Format: Article
Language:English
Subjects:
Approximation
Conditioning
Finite element analysis
Free vibration
Hexahedral element
Hybrid-mixed element
p-refinement
Polynomials
Stresses
Three dimensional analysis
Vibration analysis
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Summary:Hexahedral hybrid-mixed finite elements are proposed for free vibration analysis of three-dimensional solids. The element formulation relies on the simultaneous and independent approximations of stress and displacement in the element domain as well as the displacement on their boundary. Sets of complete and linearly independent non-nodal Legendre polynomials used for the field variables lead to symmetric, highly sparse and well conditioned solving systems. Numerical tests show that the elements yield accurate results, even in the presence of high stress gradients, and they seem to be free of shear and volumetric locking and have low sensitivity to mesh distortion. The hierarchical p-refinement strategy is exploited. •Hexahedral hybrid-mixed finite elements are proposed for free vibration analysis.•Sets of complete and linearly independent non-nodal Legendre polynomials are used.•The elements yield accurate results, are free of locking and have low sensitivity to mesh distortion.
ISSN:0168-874X
1872-6925
DOI:10.1016/j.finel.2017.11.004