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See detailAnalysis of composite plates through cell-based smoothed finite element and 4-noded mixed interpolation of tensorial components techniques
Rodrigues, J. D.; Natarajan, S.; Ferreira, Ana UL et al

in Computers & Structures (2014), 135

The static bending and the free vibration analysis of composite plates are performed with Carrera's Unified Formulation (CUF). We combine the cell-based smoothed finite element method (CSFEM) and the 4 ... [more ▼]

The static bending and the free vibration analysis of composite plates are performed with Carrera's Unified Formulation (CUF). We combine the cell-based smoothed finite element method (CSFEM) and the 4-noded mixed interpolation of tensorial components approach (MITC4). The smoothing method is used for the approximation of the bending strains, whilst the mixed interpolation allows the calculation of the shear transverse stress in a different manner. With a few numerical examples, the accuracy and the efficiency of the approach is demonstrated. The insensitiveness to shear locking is also demonstrated. © 2014 Elsevier Ltd. All rights reserved. [less ▲]

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See detailAnalysis of functionally graded material plates using triangular elements with cell-based smoothed discrete shear gap method
Natarajan, S; Ferreira; Bordas, Stéphane UL et al

in Mathematical Problems in Engineering (2014), Article ID 247932

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of ... [more ▼]

In this paper, a cell based smoothed finite element method with discrete shear gap technique is employed to study the static bending, free vibration, mechanical and thermal buckling behaviour of functionally graded material (FGM) plates. The plate kinematics is based on the first order shear deformation theory and the shear locking is suppressed by a discrete shear gap method. The shear correction factors are evaluated by employing the energy equivalence principle. The material property is assumed to be temperature dependent and graded only in the thickness direction. The effective properties are computed by using the Mori-Tanaka homogenization method. The accuracy of the present formulation is validated against available solutions. A systematic parametric study is carried out to examine the influence the gradient index, the plate aspect ratio, skewness of the plate and the boundary conditions on the global response of the FGM plates. The effect of a centrally located circular cutout on the global response is also studied. [less ▲]

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See detailAnalysis of composite plates by a unified formulation-cell based smoothed finite element method and field consistent elements
Natarajan, S.; Ferreira, Ana UL; Bordas, Stéphane UL et al

in Composite Structures (2013), 105

In this article, we combine Carrera's Unified Formulation (CUF) [13,7] and cell based smoothed finite element method [28] for studying the static bending and the free vibration of thin and thick laminated ... [more ▼]

In this article, we combine Carrera's Unified Formulation (CUF) [13,7] and cell based smoothed finite element method [28] for studying the static bending and the free vibration of thin and thick laminated plates. A 4-noded quadrilateral element based on the field consistency requirement is used for this study to suppress the shear locking phenomenon. The combination of cell based smoothed finite element method and field consistent approach with CUF allows a very accurate prediction of field variables. The accuracy and efficiency of the proposed approach are demonstrated through numerical experiments. © 2013 Elsevier Ltd. [less ▲]

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