Hybrid quasi-Trefftz 3-D finite elements for laminated composite plates

► A new hybrid stress formulation of finite element has been proposed. ► Stress field in point-wise equilibrium is generated by harmonic and orthogonal polynomials. ► Many DOF are involved, but substantial memory and computing time are saved. ► Illustrative applications are given to evaluate displac...

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Bibliographic Details
Published in:	Computers & structures Vol. 92; pp. 185 - 192
Main Authors:	Bussamra, F.L.S., Lucena Neto, E., Raimundo, D.S.
Format:	Journal Article
Language:	English
Published:	Kidlington Elsevier Ltd 01-02-2012 Elsevier
Subjects:	Applied sciences Approximation Boundaries Composite material Composites Distortion Exact sciences and technology Finite element method Forms of application and semi-finished materials Fundamental areas of phenomenology (including applications) Hybrid finite element Laminated plate Mathematical analysis Physics Plates Polymer industry, paints, wood Solid mechanics Static elasticity (thermoelasticity...) Stresses Structural and continuum mechanics Technology of polymers Three dimensional Laminated plate Hybrid finite element Composite material Harmonic Stress analysis Trefftz method Sensitivity analysis Stratified material Modeling Adaptive method Orthogonal polynomial Plate Equilibrium point Finite element method Navier equation Symmetric matrix Mesh generation Structural analysis
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Summary:	► A new hybrid stress formulation of finite element has been proposed. ► Stress field in point-wise equilibrium is generated by harmonic and orthogonal polynomials. ► Many DOF are involved, but substantial memory and computing time are saved. ► Illustrative applications are given to evaluate displacements and stresses. ► Good estimation for displacements and stresses is achieved. Three-dimensional hybrid finite elements are proposed to the analysis of laminated composite plates. Two independent fields are approximated: stresses within the elements and displacements on their boundary. The required stress field in point-wise equilibrium is generated by harmonic and orthogonal hierarchical polynomials, adapted from Papkovitch–Neuber solution of Navier equations for isotropic material. The solving system is symmetric, highly sparse and well conditioned. The elements are suited to p-refinement and present low sensitivity to mesh distortion. Illustrative applications are given to evaluate displacements and stresses.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0045-7949 1879-2243
DOI:	10.1016/j.compstruc.2011.11.005