A simple MATLAB draping code for fiber-reinforced composites with application to optimization of manufacturing process parameters

Krogh, Christian; Bak, Brian Lau Verndal; Lindgaard, Esben; Olesen, Asbjørn M.; Hermansen, Sebastian M.; Broberg, Peter Hede; Kepler, Jørgen Asbøll; Lund, Erik; Jakobsen, Johnny

doi:10.1007/s00158-021-02925-z

Cited by 17 publications

(10 citation statements)

References 17 publications

(13 reference statements)

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“…In the current study, an opensource kinematic draping code developed at Aalborg University was adopted (Krogh et al, 2021). The kinematic draping process starts with correlating an origin point on the mould surface and a corresponding origin node from the preform grid (i.e., a "PJN preform sheet"), which sets the first constraint in the algorithm and can be seen as the first contact point between mould and preform during draping.…”

Section: Kinematic Drapingmentioning

confidence: 99%

“…Once the generator lines and cell are placed, the remaining PJN grids in all quadrants can be computed subsequently with the constraint of minimising the sum of shear angles in each PJN. The detailed descriptions of an example of kinematic draping model can be found in (Krogh et al, 2021).…”

Section: Kinematic Drapingmentioning

confidence: 99%

“…The Young's modulus in the shell elements was back calculated from the flexural rigidity observed in a simple cantilever test, similar to that in (Kärger et al, 2018) from equation D Eh 3 12 , where D is the flexural rigidity per unit width from experiment; E is the Young's modulus and h is the thickness of the shell element. A complete model validation and experimental results can be found in (Krogh et al, 2021). The overall set of material input properties for the membrane and shell elements is listed in Table 2.…”

Section: Macroscale Model: Hypodrapementioning

confidence: 99%

“…Three modelling approaches of different fidelity, developed and implemented at Bristol Composite Institute (BCI), across different modelling platforms are considered. These are supplemented by a kinematic drape model (Krogh et al, 2021;Krogh et al, 2019) and a FEA-based PJN (FE-PJN) model. The FE-PJN model resembles kinematic drape analysis (Skordos et al, 2007); the same assumptions are made but it is implemented in a finite element environment which allows for the interaction between preform and tooling to be taken into account.…”

Section: Introductionmentioning

confidence: 99%

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Dry Textile Forming Simulations: A Benchmarking Exercise

et al. 2022

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In this study, four representative finite element (FE) based modelling techniques and an analytical solution for the prediction of 2D woven fabrics’ deformation during forming are compared back-to-back. Ordered from high to low fidelity they are: 1/a Multi-Filament (MF) method that sits between micro- and meso-scale that uses multiple beam element chains to represent each fibre yarn; 2/a meso-scale 3D representation (3D-Shell method) that uses 2D structural shell elements to model each fibre yarn; 3/a 2D continuum element approach that uses coincident membrane and shell elements with user defined material properties to capture the deformation response of textiles in an homogenised sense at the macro-scale; 4/pin-jointed net (PJN) models where the reinforcement directions are represented by extendable 1D elements, pin-jointed at the elements’ crossover points. These modelling approaches are systematically compared for identical forming processes with identical process and material parameters such as boundary conditions, weave architecture and tooling geometries. For completeness and to highlight the importance of considering inter-yarn and preform-to-tool interactions, a kinematic drape algorithm (based on geometrical mapping) is also considered. An attempt is made to visualise the overall modelling performance and computational cost of all representative modelling approaches by simplified metrics.

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Section: Kinematic Drapingmentioning

confidence: 99%

Section: Kinematic Drapingmentioning

confidence: 99%

Section: Macroscale Model: Hypodrapementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Dry Textile Forming Simulations: A Benchmarking Exercise

et al. 2022

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“…They can, generally, be divided into kinematic and mechanical models. Kinematic models are computational efficient [2], but are not capable of describing the complex binder interface in the binder stabilized preforms under consideration. Simulation models of forming of woven fabrics have been studied extensively in the literature [3,4].…”

Section: Introductionmentioning

confidence: 99%

Simulation of Wrinkling during Forming of Binder Stabilized UD-NCF Preforms in Wind Turbine Blade Manufacturing

Broberg

Krogh

Lindgaard

et al. 2022

KEM

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Binder stabilized preforms are getting increased attention in the wind turbine industry with the aim to increase automation in the production of large blades. In this context a preform is a stack of dry unidirectional glass fiber non-crimp fabrics (UD-NCF), which is consolidated using a polymeric binder. The preform is manufactured in a separate mold, and subsequently placed in the main blade mold. During placement of preforms, fiber wrinkling may occur due to the deformation of the preform. To accommodate this problem, we propose a predictive simulation model that can be used to investigate how different process parameters influence the wrinkle creation. Most forming simulation models in the literature consider frictional laws in the inter-ply interface for multi-layered fabrics. In this work the binder interfaces between the layers are modelled using a cohesive traction-separation law to accurately model binder degradation and wrinkle creation during preform deformation. The model predictions are compared with full thickness preform coupon specimens.

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A comprehensive review of educational articles on structural and multidisciplinary optimization

Wang

Zhao

Zhou

et al. 2021

Struct Multidisc Optim

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Ever since the publication of the 99-line topology optimization MATLAB code (top99) by Sigmund in 2001, educational articles have emerged as a popular category of contributions within the structural and multidisciplinary optimization (SMO) community. The number of educational papers in the field of SMO has been growing rapidly in recent years. Some educational contributions have made a tremendous impact on both research and education. For example, top99 (Sigmund in Struct Multidisc Optim 21(2):120-127, 2001) has been downloaded over 13,000 times and cited over 2000 times in Google Scholar. In this paper, we attempt to provide a systematic and comprehensive review of educational articles and codes in SMO, including topology, sizing, and shape optimization and building blocks. We first assess the papers according to the adopted methods, which include density-based, level-set, ground structure, and more. We then provide comparisons and evaluations on the codes from several key aspects, including techniques, efficiency, usability, readability, environment, and compatibility. In addition, we conduct numerical experiments on the reviewed codes using the benchmark cantilever beam example to provide feedback on the overall user experience. With a systematic review and comparison, this paper aims to offer insights on the educational values and practicality for employing these codes. We try to provide not only guidance for beginners to approach various optimization methods, but also a dictionary to direct readers to effectively target the relevant codes and building blocks based on their demands. Finally, based on the findings in this review paper, we provide some perspectives and recommendations for future educational contributions.

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A simple MATLAB draping code for fiber-reinforced composites with application to optimization of manufacturing process parameters

Abstract: Public free (read only) access to the Version of Record through Springer Link https://rdcu.be/clPiQ Structural and Multidisciplinary Optimization manuscript No.

Cited by 17 publications

References 17 publications

Dry Textile Forming Simulations: A Benchmarking Exercise

Dry Textile Forming Simulations: A Benchmarking Exercise

Simulation of Wrinkling during Forming of Binder Stabilized UD-NCF Preforms in Wind Turbine Blade Manufacturing

A comprehensive review of educational articles on structural and multidisciplinary optimization

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