A penalty-based multifiber finite element model for coupled bending and torsional-warping analysis of composite beams
Résumé
A new multifiber finite element model is derived for the analysis of laminated composite and sandwich beams
under combined transverse and torsional loads. The proposed model decouples the problem of 3D analysis of
composite beams into 2D cross-sectional analysis and 1D beam analysis. The effects of transverse shear deformations
and restrained warping due to torsion are included in the formulation. The interlaminar continuity
requirements of the transverse shear stresses due to bending and torsion at the interfaces between layers are
satisfied in the presented formulation. The boundary requirements of shear stresses on the exterior surfaces of the
beam are also fulfilled. In the derivation of the proposed model, a 2D finite element based on penalty approach is
firstly developed for the approximation of the warping function over the cross-section. Then, a 1D multifiber
finite element model is derived for the approximation of unknown generalized displacement of beams. Accuracy
of the present multifiber finite element model is evaluated by comparing the present results with numerical and
analytical results available in open literature, and 3D finite element solutions. The comparisons show that the
presented formulation of this study gives quasi-3D results with a lower computational cost.
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