Refined Zigzag Theory for laminated composite and sandwich plates derived from Reissner’s Mixed Variational Theorem

Iurlaro, Luigi; Gherlone, Marco; Sciuva, Marco Di; Tessler, Alexander

doi:10.1016/j.compstruct.2015.08.004

Cited by 80 publications

(34 citation statements)

References 38 publications

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“…At the very final stage of preparing of this report, the authors came across two interesting papers [50,51] related to the application of zigzag models in the analysis of multilayered plates. In the first one [50], we can find an alternative RMVT-based implementation of Tessler's zigzag functions. The second of those publications [51] contains a stimulating assessment review of various zigzag formulations.…”

Section: Discussionmentioning

confidence: 99%

Equivalent single-layer models in deformation analysis of laminated multilayered plates

Kreja

Sabik

2019

Acta Mech

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The performance of selected equivalent single-layer (ESL) models is evaluated within several classical benchmark tests for linear static analysis of multilayered plates. The authors developed their own finite element software based on the first-order shear deformation theory (FOSD) with some modifications incorporated including a correction of the transverse shear stiffness and an application of zigzag-type functions. Seven different ESL models were considered in the study; beside the classical FOSD model, there were three FOSD models with various transverse shear corrections and three ESL models enhanced by the application of zigzag functions. In addition, particular attention was paid to investigation of differences related to the "soft" and "hard" variants of the simple support.

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Section: Discussionmentioning

confidence: 99%

Equivalent single-layer models in deformation analysis of laminated multilayered plates

Kreja

Sabik

2019

Acta Mech

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“…dA. (34) Note that the transverse shear force V is included twice in the resultant vector R of Eq. 34to allow for a straightforward computational implementation.…”

Section: Stiffness Matrix and External Force Vectormentioning

confidence: 99%

“…As a result of enforcing the critical condition of equilibrated stresses, very accurate through-thickness stresses can be computed directly from the underlying model assumptions. Recently, the formulation was further extended to 2-D plates [34].…”

Section: Introductionmentioning

confidence: 99%

Computationally efficient beam elements for accurate stresses in sandwich laminates and laminated composites with delaminations

Groh

Tessler

2017

Computer Methods in Applied Mechanics and Engineering

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“…While the approaches by Ambartsumyan and Lekhnitskii rely on the exact verification of the constitutive equation connecting the transverse shear stress and the kinematic fields, Murakami [8] formulated a ZZ theory by postulating these two fields in an independent manner thanks to Reissner's mixed variational theorem (RMVT) dedicated to multilayered plates [9]. For more recent developments of RMVT-based ZZ theories, the interested reader may refer to papers by Carrera [10], Demasi [11] and Tessler [12,13]. Murakami's zig-zag function (MZZF) has been also extensively applied to classical displacement-based variable kinematics approaches, see, e.g., [14,15].…”

Section: Introductionmentioning

confidence: 99%

A family of higher-order single layer plate models meeting Cz0-requirements for arbitrary laminates

Loredo

D′Ottavio

Vidal

et al. 2019

Composite Structures

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In the framework of displacement-based equivalent single layer (ESL) plate theories for laminates, this paper presents a generic and automatic method to extend a basis higher-order shear deformation theory (polynomial, trigonometric, hyperbolic. . . ) to a multilayer C 0 z higher-order shear deformation theory. The key idea is to enhance the description of the cross-sectional warping: the odd high-order C 1 z function of the basis model is replaced by one odd and one even high-order function and including the characteristic zig-zag behaviour by means of piecewise linear functions. In order to account for arbitrary lamination schemes, four such piecewise continuous functions are considered. The coefficients of these four warping functions are determined in such a manner that the interlaminar continuity as well as the homogeneity conditions at the plate's top and bottom surfaces are a priori exactly verified by the transverse shear stress field. These C 0 z ESL models all have the same number of DOF as the original basis HSDT. Numerical assessments are presented by referring to a strong-form Navier-type solution for laminates with arbitrary stacking sequences as well for a sandwich plate. In all practically relevant configurations for which laminated plate models are usually applied, the results obtained in terms of deflection, fundamental frequency and local stress response show that the proposed zig-zag models give better results than the basis models they are issued from.

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Refined Zigzag Theory for laminated composite and sandwich plates derived from Reissner’s Mixed Variational Theorem

Cited by 80 publications

References 38 publications

Equivalent single-layer models in deformation analysis of laminated multilayered plates

Equivalent single-layer models in deformation analysis of laminated multilayered plates

Computationally efficient beam elements for accurate stresses in sandwich laminates and laminated composites with delaminations

A family of higher-order single layer plate models meeting Cz0-requirements for arbitrary laminates

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