A C0-continuous RZT beam element for the damped response of laminated structures

Treviso, Alessandra; Mundo, Domenico; Tournour, Michel

doi:10.1016/j.compstruct.2015.06.049

Cited by 14 publications

(4 citation statements)

References 24 publications

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“…CPT underestimates the central deflection; accuracy of FSDT is strongly related to the use of ad hoc shear correction factors, such as Raman's shear correction factor [125]. TSDT and RZT give comparable numerical results, with RZT being less computationally expensive, especially when FEM formulation is taken into account [112][113][114][115][116][117][118][119][120][121][122].…”

Section: Bending Problemmentioning

confidence: 99%

“…Numerical tests on bending, free vibrations, and buckling of rectangular sandwich plates subjected to several combinations of loads and boundary conditions have shown the remarkable accuracy of the RZT, also for laminates and sandwich with weak external layers [86,[110][111][112]. From a numerical point of view, RZT allows for the formulation of C 0 continuity finite elements [112][113][114][115][116][117][118][119][120][121][122].…”

Section: Introductionmentioning

confidence: 99%

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Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory

Sciuva

Sorrenti

2019

Jnl of Sandwich Structures & Materials

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The paper presents a numerical assessment of the performance of the Refined Zigzag Theory to the analysis of bending (deflection and stress distributions) and free vibration of functionally graded material plates, monolayer and sandwich, under a set of different boundary conditions. The numerical assessment is performed comparing results from Refined Zigzag Theory using Ritz method with those from 3D, quasi-3D, and 2D theories and finite element method. In the framework of 2D theories, equivalent single-layer theories of different orders (sinusoidal, hyperbolic, inverse-hyperbolic, third-order shear deformation theory, first-order shear deformation theory, and classical plate theory) have been used to investigate deformation, stresses, and free vibration and compared with results from the Refined Zigzag Theory. After validating the convergence characteristics and the numerical accuracy of the developed approach using orthogonal admissible functions, a detailed parametric numerical investigation is carried out. Bending under transverse pressure and free vibration of functionally graded material square and rectangular plates of a different aspect ratio under various combinations of geometry (core-to-face sheet thickness ratio and plate to thickness ratio), boundary conditions and law of variation of volume fraction constituent in the thickness direction (power-law functionally graded material, exponential law functionally graded material, and sigmoidal-law functionally graded material) is studied. Monolayer and

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Section: Bending Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory

Sciuva

Sorrenti

2019

Jnl of Sandwich Structures & Materials

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“…Taking Di Sciuva's approach as a starting point, Tessler and co-workers formulated a refined zigzag theory, in the body of this paper named the standard Refined Zigzag Theory (RZT), for multilayered composite and sandwich beams [21], plates [22] and shells [23]. 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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“…The reader interested in a comparison of the performances and range of applicability of various zigzag functions is invited to read the paper of Gherlone [25]. From a computational point of view, the formulation of finite elements based on the RZT requires only C 0 continuity of shape functions [26][27][28][29][30][31][32][33][34][35][36][37][38]. Although C 0 -continous elements are the most-widely used in commercial finite element software due to their computational efficiency, it is well known that overstiff unrealistic numerical results are obtained when using the conventional low-order isoparametric C 0 finite elements (bi-linear shape functions for both deflection and bending rotation) in the analysis of thin and very thin plates; this phenomenon is known in the literature as the transverse shear-locking effect, according to Oñate [38][39][40].…”

Section: Introductionmentioning

confidence: 99%

A Family of C0 Quadrilateral Plate Elements Based on the Refined Zigzag Theory for the Analysis of Thin and Thick Laminated Composite and Sandwich Plates

Sciuva

Sorrenti

2019

J. Compos. Sci.

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The present work focuses on the formulation and numerical assessment of a family of C0 quadrilateral plate elements based on the refined zigzag theory (RZT). Specifically, four quadrilateral plate elements are developed and numerically tested: The classical bi-linear 4-node element (RZT4), the serendipity 8-node element (RZT8), the virgin 8-node element (RZT8v), and the 4-node anisoparametric constrained element (RZT4c). To assess the relative merits and drawbacks, numerical tests on bending (maximum deflection and stresses) and free vibration analysis of laminated composite and sandwich plates under different boundary conditions and transverse load distributions are performed. Convergences studies with regular and distorted meshes, transverse shear-locking effect for thin and very thin plates are carried out. It is concluded that the bi-linear 4-node element (RZT4) has performances comparable to the other elements in the range of thin plates when reduced integration is adopted but presents extra zero strain energy modes. The serendipity 8-node element (RZT8), the virgin 8-node element (RZT8v), and the 4-node anisoparametric constrained element (RZT4c) show remarkable performance and predictive capabilities for various problems, and transverse shear-locking is greatly relieved, at least for aspect ratio equal to 5 × 102, without using any reduced integration scheme. Moreover, RZT4c has well-conditioned element stiffness matrix, contrary to RZT4 using reduced integration strategy, and has the same computational cost of the RZT4 element.

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A C0-continuous RZT beam element for the damped response of laminated structures

Cited by 14 publications

References 24 publications

Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory

Bending and free vibration analysis of functionally graded sandwich plates: An assessment of the Refined Zigzag Theory

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

A Family of C0 Quadrilateral Plate Elements Based on the Refined Zigzag Theory for the Analysis of Thin and Thick Laminated Composite and Sandwich Plates

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