A robust four-node quadrilateral element for laminated composite and sandwich plates based on Refined Zigzag Theory

Sorrenti, M.; Sciuva, Marco Di; Tessler, Alexander

doi:10.1016/j.compstruc.2020.106369

Cited by 21 publications

(4 citation statements)

References 53 publications

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“…Since that time many papers have been published, see e.g. references [16][17][18][19], showing the tremendous capability of this approach.…”

Section: Refined Zigzag Theorymentioning

confidence: 99%

“…A first application for bi-axial plate bending is given by Versino [16], who extended Tessler´s anisoparametric shape functions originally presented in the well-known homogeneous plate element MIN3 to RZT-kinematics. Recently Sorrenti et al [18] reported a robust quadrilateral version which achieves reliable results even in the ultra-thin range. Wimmer et al [17] has demonstrated the advantages that can be reaped when the so-called smoothed finite element technique is employed.…”

Section: Plate Elementmentioning

confidence: 99%

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Numerical and Experimental Investigations on the Stress State of CLT-Plates Near Concentrated Loads

Wimmer

Huber²,

Eder³

2023

World Conference on Timber Engineering (WCTE 2023)

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Cross laminated timber (CLT), as a structural plate-like timber product has been successfully established in civil engineering practice as a load bearing product for walls, floor and roof elements. In a bending situation with transverse shear the cross section does not remain in a plane form due to the strong flexibility of crossing layers. The deformed cross section shows a significant warping which follows a zigzag pattern that influences the stress state. Comparative studies are worked out to investigate the efficiency of two different structural theories. It turned out, that the traditionally used First Order Shear Deformation Theory (FSDT) does not reflect satisfactorily the local stress state near concentrated loads. It is demonstrated that the relatively new Refined Zigzag Theory (RZT) is much better able to represent the stresses in different layers of CLT-plates in such a case. In particular, the rolling shear stress and the maximum bending stress will be strongly underestimated by FSDT, while RZT will provide accurate results. This finding was confirmed by alternative analysis with high-resolution FE continuum elements and by experimental tests using linear strain gauges and a digital image correlation system (DIC) to record the deformations in the area of interest.

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“…Since that time many papers have been published, see e.g. references [16][17][18][19], showing the tremendous capability of this approach.…”

Section: Refined Zigzag Theorymentioning

confidence: 99%

Section: Plate Elementmentioning

confidence: 99%

Numerical and Experimental Investigations on the Stress State of CLT-Plates Near Concentrated Loads

Wimmer

Huber²,

Eder³

2023

World Conference on Timber Engineering (WCTE 2023)

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“…The interested reader can find assessment of the good performances of the standard RZT in [24][25][26][27]. Since the standard RZT requires only C 0 continuity in finite element formulation, which is very attractive from a computational point of view, many researchers have formulated and assessed various finite elements for beams/plates/shells structures [28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Buckling analysis of angle-ply multilayered and sandwich plates using the enhanced Refined Zigzag Theory

Sciuva¹,

Gherlone²,

Sorrenti³

2022

PEAS

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The recent enhancement of the standard Refined Zigzag Theory (RZT), herein named the enhanced Refined Zigzag Theory (en-RZT), has extended the range of applicability of the RZT to angle-ply multilayered and sandwich plates. The aim of the present investigation is to assess the numerical performances of the en-RZT for the buckling analysis of angle-ply multilayered and sandwich rectangular plates under in-plane normal loads. The linearized stability equations are obtained using the Ritz method in conjunction with the principle of virtual work, by means of Gram-Schmidt orthogonal polynomials. In order to assess the accuracy of the en-RZT, buckling loads of angle-ply laminated and sandwich plates are evaluated and compared with the numerical results available in open literature. The numerical investigation highlights the high accuracy of the en-RZT in predicting buckling loads. The study contains a parametric analysis aimed to investigate the influence of various design parameters, such as plate aspect ratio, thickness, lamina orientations, in-plane load combinations and boundary conditions on the buckling loads.

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“…Parametric effects of plate variables (such as power-law index, modulus ratio, and damping loss factor) on the vibroacoustic response of a clamped, thin power-law index, functionally graded plate under point forcing are discussed. Researchers estimated that the sound radiation response of isotropic [4][5][6][7][8][9][10][11], orthotropic [12][13][14][15], composite [16][17][18], sandwich plates [19][20][21], and FGM [22][23][24][25][26][27][28][29] plates using the Rayleigh integral method. The authors used the elemental radiator approach to estimate the sound power radiated by plate structures [13,[29][30][31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

et al. 2022

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This paper analyzes the sound radiation behavior of a clamped thin, functionally graded material plate using the classical plate theory and Rayleigh Integral with the elemental radiator approach. The material properties of the plate are assumed to vary according to the power-law distribution of the constituent materials in the transverse direction. The functionally graded material is modeled using a physical neutral surface instead of a geometric middle surface. The effects of the power-law index, elastic modulus ratio, different constituent materials, and damping loss factor on the sound radiation of functionally graded plate are analyzed. It was found that, for the considered plate, the power-law index significantly influences sound power level and radiation efficiency. There exists a critical value of the power-law index for which the corresponding peak of sound power level is minimum. In a wide operating frequency range, approximately 500–1500 Hz, this research suggests that the radiation efficiency is lower for the power-law index equal to 0 and 1. However, for very low frequencies (less than 250 Hz), the power-law index does not affect radiation efficiency significantly. Further, as the modulus ratio increases, the sound power peak decreases for a given power-law index. For the given material constituents of the functionally graded plate, the different values of damping loss factors do not significantly influence radiation efficiency. However, the selection of material constituents affects the radiation efficiency peak.

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A robust four-node quadrilateral element for laminated composite and sandwich plates based on Refined Zigzag Theory

Cited by 21 publications

References 53 publications

Numerical and Experimental Investigations on the Stress State of CLT-Plates Near Concentrated Loads

Numerical and Experimental Investigations on the Stress State of CLT-Plates Near Concentrated Loads

Buckling analysis of angle-ply multilayered and sandwich plates using the enhanced Refined Zigzag Theory

Analytical Investigation of Sound Radiation from Functionally Graded Thin Plates Based on Elemental Radiator Approach and Physical Neutral Surface

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