Influence of fiber misalignments on buckling performance of variable stiffness composites using layerwise models and random fields

Pagani, Alfonso; Sánchez-Majano, A. Racionero

doi:10.1080/15376494.2020.1771485

Cited by 45 publications

(21 citation statements)

References 41 publications

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“…This implies that microscale and mesoscale defects are considered. The latter defects were already studied by the authors in [ 37 , 38 ]. The influence that the combination of defects has on the buckling load is addressed in this section.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Then, compatibility conditions are imposed at the interfaces of two consecutive plies by considering that:

in which k represents the k -th layer of the laminate. This model was initially introduced employing HLE by Pagani et al [ 41 ] for the analysis of classical laminates and thin-walled structures and, more recently, LE was used for the study of VSC in the works by Viglietti et al [ 35 , 36 ] and Pagani and Sanchez-Majano [ 37 , 38 ].…”

Section: Layer- and Component-wise Unified Finite Elementsmentioning

confidence: 99%

“…Moreover, Viglietti et al [ 35 , 36 ] developed one-dimensional models and compared the usage of equivalent single layer (ESL) and layer-wise (LW) theories for the free vibration analysis. Finally, Pagani and Sanchez-Majano [ 37 , 38 ] combined CUF and mesoscale uncertainty to study, respectively, the variability of critical buckling loads and failure indices due to fibre misalignments induced during manufacturing processes. Following the research path established in the previous paragraphs, this manuscript aims to investigate the influence of microscale defects such as the spatially varying fibre volume fraction and the fibre misalignments in the buckling performance of VSC plates and investigate an efficient mathematical model to relate such spatial variation with the macroscale structural response.…”

Section: Introductionmentioning

confidence: 99%

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Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion

et al. 2021

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It is well known that fabrication processes inevitably lead to defects in the manufactured components. However, thanks to the new capabilities of the manufacturing procedures that have emerged during the last decades, the number of imperfections has diminished while numerical models can describe the ground truth designs. Even so, a variety of defects has not been studied yet, let alone the coupling among them. This paper aims to characterise the buckling response of Variable Stiffness Composite (VSC) plates subjected to spatially varying fibre volume content as well as fibre misalignments, yielding a multiscale sensitivity analysis. On the one hand, VSCs have been modelled by means of the Carrera Unified Formulation (CUF) and a layer-wise (LW) approach, with which independent stochastic fields can be assigned to each composite layer. On the other hand, microscale analysis has been performed by employing CUF-based Mechanics of Structure Genome (MSG), which was used to build surrogate models that relate the fibre volume fraction and the material elastic properties. Then, stochastic buckling analyses were carried out following a multiscale Monte Carlo analysis to characterise the buckling load distributions statistically. Eventually, it was demonstrated that this multiscale sensitivity approach can be accelerated by an adequate usage of sampling techniques and surrogate models such as Polynomial Chaos Expansion (PCE). Finally, it has been shown that sensitivity is greatly affected by nominal fibre orientation and the multiscale uncertainty features.

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Section: Numerical Resultsmentioning

confidence: 99%

“…Then, compatibility conditions are imposed at the interfaces of two consecutive plies by considering that:

Section: Layer- and Component-wise Unified Finite Elementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion

et al. 2021

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“…This choice is related to the required degree of accuracy and the problem's features to solve. In the framework of CUF, Taylor expansion (TE) models have been widely used, as in References 34 and 35 . In the case of TE models, the generalized displacements are expanded around the beam axis through Mclaurin polynomials of truncated order

.…”

Section: High Order 1d Finite Elementsmentioning

confidence: 99%

Quasi‐static fracture analysis by coupled three‐dimensional peridynamics and high order one‐dimensional finite elements based on local elasticity

Pagani

Enea

Carrera

2021

Numerical Meth Engineering

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This work investigates quasi-static crack propagation in specimens made of brittle materials by combining local and non-local elasticity models. The portion of the domain where the failure initiates and then propagates is modeled via three-dimensional bond-based peridynamics (PD). On the other hand, the remaining regions of the structure are analyzed with high order one-dimensional finite elements based on the Carrera unified formulation (CUF). The coupling between the two zones is realized by using Lagrange multipliers. Static solutions of different fracture problems are provided by a sequential linear analysis. The proposed approach is demonstrated to combine the advantages of the CUF-based classical continuum mechanics models and PD by providing, in an efficient manner, both the failure load and the shape of the crack pattern, even for three-dimensional problems.

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“…Viglietti et al [ 35 ] introduced 1D elements for the free vibration study of VAT laminates. Lately, Pagani and Sanchez-Majano [ 36 , 37 ] and Sanchez-Majano et al [ 38 ] analysed the influence of manufacturing defects on the mechanical performance of VAT composites.…”

Section: Introductionmentioning

confidence: 99%

Accurate Stress Analysis of Variable Angle Tow Shells by High-Order Equivalent-Single-Layer and Layer-Wise Finite Element Models

et al. 2021

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New concepts of lightweight components are conceived nowadays thanks to the advances in the manufacture of composite structures. For instance, mature technologies such as Automatic Fibre Placement (AFP) are employed in the fabrication of structural parts where fibres are steered along curvilinear paths, namely variable angle tow (VAT), which can enhance the mechanical performance and alleviate the structural weight. This is of utmost importance in the aerospace field, where weight savings are one of the main goals. For that reason, shell structures are commonly found in the aerospace industry because of their capabilities of supporting external loadings. Straight-fibre composite shell structures have been studied in recent decades and, now, spatially varying composite shells are attracting the attention of manufacturers. This work analyses the mechanical behaviour of VAT composite shells subjected to different external loadings and boundary conditions. The Carrera Unified Formulation (CUF) is employed to obtain the different structural models in a systematic and hierarchic manner. The outcomes of such numerical models are discussed and compared with commercial software Abaqus.

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Influence of fiber misalignments on buckling performance of variable stiffness composites using layerwise models and random fields

Cited by 45 publications

References 41 publications

Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion

Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion

Quasi‐static fracture analysis by coupled three‐dimensional peridynamics and high order one‐dimensional finite elements based on local elasticity

Accurate Stress Analysis of Variable Angle Tow Shells by High-Order Equivalent-Single-Layer and Layer-Wise Finite Element Models

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