1.16 Multilayer Models for Composite and Sandwich Structures

Abrate, Serge; Sciuva, Marco Di

doi:10.1016/b978-0-12-803581-8.09885-4

Cited by 24 publications

(28 citation statements)

References 331 publications

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“…n  zigzag functions are defined in terms of the global variables by imposing continuity of the shear tractions at the ( 1) n  layer interfaces (the shear tractions are calculated using the elastic constitutive laws in Eqn. 7in the Appendix).…”

Section: Delaminationsmentioning

confidence: 99%

“…These theories assume a C 1 continuous displacement field through the thickness which introduces discontinuities in transverse stresses and the impossibility to satisfy local equilibrium. Modeling local effects requires the use of layerwise, discrete-layer or 2D/3D finite-element models, where layers and interfacial regions between layers are distinctly modelled and continuity of displacements, but not of their derivatives (slopes), is imposed at the interfaces [1]. Modeling delamination evolution using these techniques requires in addition a T cohesive zone approach to capture the displacement discontinuities and an in-plane discretization to follow the evolution of the cracks.…”

Section: Introductionmentioning

confidence: 99%

“… are displacement jumps at the layer interfaces [14]. Higher order equivalent single layer models can be used which increase the number of the global variables and better describe the transverse stresses in fully bonded problems [1]. Zigzag functions and displacement jumps are then defined by imposing continuity of transverse shear and normal tractions at the layer interfaces and the interfacial constitutive laws to relate tractions and jumps.…”

Section: Introductionmentioning

confidence: 99%

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Local zigzag effects and brittle delamination fracture of n-layered beams using a structural theory with three displacement variables

Massabò

Monetto

2019

Frattura Ed Integrità Strutturale

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Equivalent single layer theories for layered beams effectively and accurately predict global displacements and internal force and moment resultants using a limited number of displacement variables. However, they cannot reproduce local effects due to material architecture or weak/imperfect bonding of the layers, such as zigzag displacement fields, displacement jumps at the layer interfaces and complex transverse stress fields, nor can they simulate delamination damage growth. In this work we will present some applications and discuss advantages and limitations of a recently formulated zigzag model. The model, through a modification of the equilibrium equations of an equivalent single layer theory, which maintains the same number of variables, reproduces local effects and delamination fracture under mode II dominant conditions. The approach is based on a local enrichment of the displacement field of first order shear deformation theory, the introduction of cohesive interfaces and homogenization.

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Section: Delaminationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Local zigzag effects and brittle delamination fracture of n-layered beams using a structural theory with three displacement variables

Massabò

Monetto

2019

Frattura Ed Integrità Strutturale

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“…In the framework of the displacement-based beam, plate, and shell theories, equivalent single layer (ESL) theories, where the displacement field is assumed smoothly continuous through-the-thickness, and layer-wise (LW) theories, where a local displacement field is assumed for each layer, are commonly used; see the recent review of Abrate and Di Sciuva [1,2]. Among the ESL theories, for engineering applications, the classical plate theory (CPT) is widely used especially for thin plates.…”

Section: Introductionmentioning

confidence: 99%

“…To improve the accuracy of the estimates of the in-plane displacements and stresses distribution along the thickness, the higher-order shear deformation theories (HOSDT) are used. In the framework of HOSDT, polynomials, trigonometric, exponential, and hyperbolic expansions of the axial displacement are commonly used; see Abrate and Di Sciuva [1,2]. These theories are generally more accurate than FSDT and do not require the use of ad-hoc shear correction factors but are unable to satisfy the transverse shear stresses continuity condition at the layer interfaces.…”

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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Effective Modeling of Interlaminar Damage in Multilayered Composite Structures Using Zigzag Kinematic Approximations

Massabò¹

2020

Handbook of Damage Mechanics

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The chapter gives an overview of the main approaches formulated to model interlaminar damage and imperfections in layered structures using zigzag kinematic approximations and concentrates on the models which have been extended to analyze delamination damage progression. The zigzag theories are structural theories which assume different kinematic fields in the layers, to account for zigzag effects associated to their elastic mismatch, and use a fixed number of variables that is independent of the number of layers. Interfacial imperfections, interlayer damage, and delaminations are included using the compliant layer concept, imperfect interfaces, or by adding additional variables.

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1.16 Multilayer Models for Composite and Sandwich Structures

Cited by 24 publications

References 331 publications

Local zigzag effects and brittle delamination fracture of n-layered beams using a structural theory with three displacement variables

Local zigzag effects and brittle delamination fracture of n-layered beams using a structural theory with three displacement variables

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

Effective Modeling of Interlaminar Damage in Multilayered Composite Structures Using Zigzag Kinematic Approximations

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