Academic literature on the topic 'Fiber bundle model'

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Journal articles on the topic "Fiber bundle model"

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PRADHAN, SRUTARSHI, and BIKAS K. CHAKRABARTI. "FAILURE PROPERTIES OF FIBER BUNDLE MODELS." International Journal of Modern Physics B 17, no. 29 (November 20, 2003): 5565–81. http://dx.doi.org/10.1142/s0217979203023264.

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We study the failure properties of fiber bundles when continuous rupture goes on due to the application of external load on the bundles. We take the two extreme models: equal load sharing model (democratic fiber bundles) and local load sharing model. The strength of the fibers are assumed to be distributed randomly within a finite interval. The democratic fiber bundles show a solvable phase transition at a critical stress (load per fiber). The dynamic critical behavior is obtained analytically near the critical point and the critical exponents are found to be universal. This model also shows elastic-plastic like nonlinear deformation behavior when the fiber strength distribution has a lower cut-off. We solve analytically the fatigue-failure in a democratic bundle, and the behavior qualitatively agrees with the experimental observations. The strength of the local load sharing bundles is obtained numerically and compared with the existing results. Finally we map the failure phenomena of fiber bundles in terms of magnetic model (Ising model) which may resolve the ambiguity of studying the failure properties of fiber bundles in higher dimensions.
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Ishikawa, Tatsuya, KyoungHou Kim, and Yutaka Ohkoshi. "Visualization of a pillar-shaped fiber bundle in a model needle-punched nonwoven fabric using X-ray micro-computed tomography." Textile Research Journal 87, no. 11 (August 2, 2016): 1387–93. http://dx.doi.org/10.1177/0040517516652351.

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In the needle-punching process, the barbs of a needle catch fibers and orient them along the thickness direction of the fabric. The oriented fibers form a pillar-shaped fiber bundle, which acts as a bonding point of the fabric. The structure of the pillar-shaped fiber bundle thus governs the mechanical properties of needle-punched nonwoven fabric, and both are largely affected by the needle-punching conditions. However, the three-dimensional structure of pillar-shaped fiber bundles and their development under different needle-punching conditions have not been revealed. In the present study, we visualized the three-dimensional structure of a pillar-shaped fiber bundle in needle-punched nonwoven fabric, employing X-ray micro-computed tomography (XCT) on the basis of the difference in the X-ray absorption coefficient between polyethylene terephthalate (PET) and polyethylene fibers. For a material density ratio of less than 1.4 and PET fibers having a diameter of 40 µm, the pillar-shaped bundles of PET fibers were visualized by erasing 20-µm polyethylene fibers in XCT images. Furthermore, we investigated the effects of the penetration depth of the needle on the development of pillar-shaped fiber bundles. The number of fibers constituting a pillar largely increased at a penetration depth of 19.0 mm, and pillars protruded from the bottom surface of the fabric and formed a stitch structure. The XCT applied in this study is thus effective in analyzing the structure of pillar-shaped fiber bundles quantitatively without affecting the structure of the nonwoven fabric.
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Li, Jiang Hua, Guang Feng Chen, Qing Qing Huang, and Xin Wei. "Three-Dimensional Yarns Modeling for Tufted Carpet Simulation." Advanced Materials Research 989-994 (July 2014): 1700–1703. http://dx.doi.org/10.4028/www.scientific.net/amr.989-994.1700.

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Yarns modeling are the key problem for tufted carpet 3D visual simulation. This paper deals with three-dimensional yarns structure modeling for tufted carpet simulation. The yarn is modeled as an assembly of fiber bundles which also include of a lot of fibers. to simulate fiber bundle dividing fiber bundle into many segments along its trajectory, and each fiber paths displayed are generated by NURBS curves. Through control the control points and color of NURBS to get certain cross-section and color effect of fiber bundle outlook. And finally use the fiber bundle to form the final yarn model. Test result shown the modeling method is suitable for carpet simulation.
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Yeo, A., and A. G. Fane. "Performance of individual fibers in a submerged hollow fiber bundle." Water Science and Technology 51, no. 6-7 (March 1, 2005): 165–72. http://dx.doi.org/10.2166/wst.2005.0635.

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Hollow fiber membranes are popular as they have a high specific membrane area. To take advantage of this, it is necessary to pack the fibers into closely packed bundles. The fibers in different positions in the bundle behave differently as they are exposed to different hydrodynamic conditions. In this paper, a ‘model’ bundle of 9 fibers was tested in a setup which provides flow measurement from individual fibers and the same suction pressure in each fiber. The parameters studied were packing density, cross flow velocity, feed concentration and bubbling. It was found that a low cross flow velocities, high pressures and high feed concentrations, the surrounded (center) fiber performed very poorly compared to the fibers at the corner and the sides. Under these conditions, the overall performance of the bundle was much worse that of a single fiber.
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Li, Lei, Li Chen, and Jin Chao Li. "Numerical Generation Technology for Three-Dimensional Structure of High-Performance Fiber Bundle." Advanced Materials Research 332-334 (September 2011): 1024–27. http://dx.doi.org/10.4028/www.scientific.net/amr.332-334.1024.

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The three-dimensional structure of high-performance fiber bundles are of paramount importance for their study in lateral compression mechanism. Modeling of their true morphologies is still fields of focus research, yet to be exhausted. In this paper, ANSYS were utilized to develop three-dimensional numerical model of fiber bundle on the computer in the way of simulation. This approach is enabled by the finite element packages. It is possible to simulate the true material morphology directly. The key issues of the simulation are to keep fiber volume fraction always a constant value and to ensure no intersection between fibers. This work can simulate the stochastic generation-growth of high-performance fiber bundle and reproduce morphology of fiber bundle on micron scale well and thereby provide reliable information for the study on the lateral compression mechanism in the future.
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Boufass, Siham, Ahmed Hader, Mohammed Tanasehte, Hicham Sbiaai, Imad Achik, and Yahia Boughaleb. "Modelling of composite materials energy by fiber bundle model." European Physical Journal Applied Physics 92, no. 1 (October 2020): 10401. http://dx.doi.org/10.1051/epjap/2020200179.

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In this paper, the fiber energy in composite materials, subject to an external constant load, is studied. The investigation is done in the framework of fiber bundle model with randomly oriented fibers. The charge transfer is done only between neighboring close fibers according to the local load sharing. During the breaking process, the fibers expand, increasing their elastic energy, but when the fiber breaks, it loses its link with its neighboring fibers reducing the cohesive energy of the materials. The results show that the material energy presents one maximal peak at cross over time which decreases linearly with the applied force and scales with the lifetime of the material. However, the temperature does not have a remarkable effect on the material energy variation. In addition, the link density fiber decreases exponentially with time. The characteristic time of the obtained profile decreases with the applied force. Moreover, this density decreases with applied forces according to the Lorentz law with a remarkable change at critical force value.
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Roy, Subhadeep, and Sanchari Goswami. "Fiber Bundle Model Under Heterogeneous Loading." Journal of Statistical Physics 170, no. 6 (February 7, 2018): 1197–214. http://dx.doi.org/10.1007/s10955-018-1966-4.

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Mattsson, H. David, and Janis Varna. "Average Strain in Fiber Bundles and Its Effect on NCF Composite Stiffness." Journal of Engineering Materials and Technology 129, no. 2 (June 27, 2006): 211–19. http://dx.doi.org/10.1115/1.2400266.

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Transverse strain in bundles governs transverse cracking in noncrimp fabric (NCF) composites. Finite element (FE) analysis shows that this strain may be significantly lower than the applied macroscopic strain component in the same direction. This feature is important for damage evolution modeling. The isostrain assumption which in different combinations is widely used in stiffness models is inadequate because the strain in different mesoelements (bundles of different orientation and matrix regions) is assumed the same. Analyzing by FEM the importance of media surrounding the bundle on average transverse strain it was found that an increasing ratio of the bundle transverse stiffness to the matrix stiffness leads to a decrease of the strain in the bundle. An increase of the stiffness in the same direction in adjacent layers leads to an increase of the transverse strain in the bundle. Higher bundle volume fraction in the layer leads to larger transverse strain in the bundle. These trends are described by a power law and used to predict the average strain in bundles. The calculated H matrix which establishes the relationship between strains in the mesoelement and representative volume element strains is used to calculate the “effective stiffness” of the bundle. This effective stiffness is the main element in simple but exact expressions derived to calculate the stiffness matrix of NCF composites. Considering the three-dimensional (3D) FE model as the reference, it was found that all homogenization methods used in this study have sufficient accuracy for stiffness calculations, but only the presented method gives reliable predictions of strains in bundles.
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Yan, Shi Lin, Hang Lu, Hua Tan, and Zhong Qi Qiu. "Microscopic Analysis of Flow and Prediction of Effective Permeability for Dual-Scale Porous Fiber Fabrics." Advanced Materials Research 97-101 (March 2010): 1776–81. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.1776.

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In this paper, the permeability of fiber fabric used in liquid composite molding (LCM) is predicted by the method of numerical simulation. The three-dimensional finite element model of unit cell representing the periodic micro-structure of a plaid is established. In the process of numerical simulation, each fiber bundle in unit cell is treated as a porous medium. Stokes equation and Darcy's law are employed to model the saturated flow between the fiber bundles and the saturated flow in the fiber bundle, respectively. Steady state flow of the finite element model of unit cell is simulated. The effective permeability of the plaid is obtained from the postprocessing of the simulation results by using Darcy's law.
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Zheng, Guan-Yu. "Numerical Investigation of Characteristic of Anisotropic Thermal Conductivity of Natural Fiber Bundle with Numbered Lumens." Mathematical Problems in Engineering 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/506818.

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Natural fiber bundle like hemp fiber bundle usually includes many small lumens embedded in solid region; thus, it can present lower thermal conduction than that of conventional fibers. In the paper, characteristic of anisotropic transverse thermal conductivity of unidirectional natural hemp fiber bundle was numerically studied to determine the dependence of overall thermal property of the fiber bundle on that of the solid region phase. In order to efficiently predict its thermal property, the fiber bundle was embedded into an imaginary matrix to form a unit composite cell consisting of the matrix and the fiber bundle. Equally, another unit composite cell including an equivalent solid fiber was established to present the homogenization of the fiber bundle. Next, finite element thermal analysis implemented by ABAQUS was conducted in the two established composite cells by applying proper thermal boundary conditions along the boundary of unit cell, and influences of the solid region phase and the equivalent solid fiber on the composites were investigated, respectively. Subsequently, an optional relationship of thermal conductivities of the natural fiber bundle and the solid region was obtained by curve fitting technique. Finally, numerical results from the obtained fitted curves were compared with the analytic Hasselman-Johnson’s results and others to verify the present numerical model.
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Dissertations / Theses on the topic "Fiber bundle model"

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Benger, Werner. "Visualization of general relativistic tensor fields via a fiber bundle data model /." Berlin : Lehmanns Media-LOB.de, 2005. http://deposit.ddb.de/cgi-bin/dokserv?id=2669729&prov=M&dok_var=1&dok_ext=htm.

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Nguyen, Minh Tuan. "Contribution à l'optimisation des processus de filature des fibres libériennes." Mulhouse, 1996. http://www.theses.fr/1996MULH0440.

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La régularité de masse linéique (titre) des structures textiles linéaires produites en filature constitue le critère de qualité le plus important. En se basant sur les théories stochastiques classiques de l'étirage en grappes des fibres textiles individualisées, l'auteur a proposé une modélisation originale et très générale applicable à toutes les fibres, individualisées ou agglomérées sous forme de faisceaux fibreux ; cette théorie concerne tout particulièrement les fibres libériennes telles que le jute et le lin qui se présentent toujours sous forme de «faisceaux techniques» dissociables au cours du processus de filature. Les développements théoriques ont été totalement validés par une expérimentation industrielle approfondie réalisée dans le centre d'essais N. Schlumberger, premier constructeur français de matériel de filature. Enfin, la limite de filabilité a été discutée
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Stamile, Claudio. "Unsupervised Models for White Matter Fiber-Bundles Analysis in Multiple Sclerosis." Thesis, Lyon, 2017. http://www.theses.fr/2017LYSE1147/document.

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L’imagerie de résonance magnétique de diffusion (dMRI) est une technique très sensible pour la tractographie des fibres de substance blanche et la caractérisation de l’intégrité et de la connectivité axonale. A travers la mesure des mouvements des molécules d’eau dans les trois dimensions de l’espace, il est possible de reconstruire des cartes paramétriques reflétant l’organisation tissulaire. Parmi ces cartes, la fraction d’anisotropie (FA) et les diffusivités axiale (λa), radiale (λr) et moyenne (MD) ont été largement utilisés pour caractériser les pathologies du système nerveux central. L’emploi de ces cartes paramétriques a permis de mettre en évidence la survenue d’altérations micro structurelles de la substance blanche (SB) et de la substance grise (SG) chez les patients atteints d’une sclérose en plaques (SEP). Cependant, il reste à déterminer l’origine de ces altérations qui peuvent résulter de processus globaux comme la cascade inflammatoire et les mécanismes neurodégénératifs ou de processus plus localisés comme la démyélinisation et l’inflammation. De plus, ces processus pathologiques peuvent survenir le long de faisceaux de SB afférents ou efférents, conduisant à une dégénérescence antero- ou rétrograde. Ainsi, pour une meilleure compréhension des processus pathologiques et de leur progression dans l’espace et dans le temps, une caractérisation fine et précise des faisceaux de SB est nécessaire. En couplant l’information spatiale de la tractographie des fibres aux cartes paramétriques de diffusion, obtenues grâce à un protocole d’acquisitions longitudinal, les profils des faisceaux de SB peuvent être modélisés et analysés. Une telle analyse des faisceaux de SB peut être effectuée grâce à différentes méthodes, partiellement ou totalement non-supervisées. Dans la première partie de ce travail, nous dressons l’état de l’art des études déjà présentes dans la littérature. Cet état de l’art se focalisera sur les études montrant les effets de la SEP sur les faisceaux de SB grâce à l’emploi de l’imagerie de tenseur de diffusion. Dans la seconde partie de ce travail, nous introduisons deux nouvelles méthodes,“string-based”, l’une semi-supervisée et l’autre non-supervisée, pour extraire les faisceaux de SB. Nous montrons comment ces algorithmes permettent d’améliorer l’extraction de faisceaux spécifiques comparé aux approches déjà présentes dans la littérature. De plus, dans un second chapitre, nous montrons une extension de la méthode proposée par le couplage du formalisme “string-based” aux informations spatiales des faisceaux de SB. Dans la troisième et dernière partie de ce travail, nous décrivons trois algorithmes automatiques permettant l’analyse des changements longitudinaux le long des faisceaux de SB chez des patients atteints d’une SEP. Ces méthodes sont basées respectivement sur un modèle de mélange Gaussien, la factorisation de matrices non-négatives et la factorisation de tenseurs non-négatifs. De plus, pour valider nos méthodes, nous introduisons un nouveau modèle pour simuler des changements longitudinaux réels, base sur une fonction de probabilité Gaussienne généralisée. Des hautes performances ont été obtenues avec ces algorithmes dans la détection de changements longitudinaux d’amplitude faible le long des faisceaux de SB chez des patients atteints de SEP. En conclusion, nous avons proposé dans ce travail des nouveaux algorithmes non supervisés pour une analyse précise des faisceaux de SB, permettant une meilleure caractérisation des altérations pathologiques survenant chez les patients atteints de SEP
Diffusion Magnetic Resonance Imaging (dMRI) is a meaningful technique for white matter (WM) fiber-tracking and microstructural characterization of axonal/neuronal integrity and connectivity. By measuring water molecules motion in the three directions of space, numerous parametric maps can be reconstructed. Among these, fractional anisotropy (FA), mean diffusivity (MD), and axial (λa) and radial (λr) diffusivities have extensively been used to investigate brain diseases. Overall, these findings demonstrated that WM and grey matter (GM) tissues are subjected to numerous microstructural alterations in multiple sclerosis (MS). However, it remains unclear whether these tissue alterations result from global processes, such as inflammatory cascades and/or neurodegenerative mechanisms, or local inflammatory and/or demyelinating lesions. Furthermore, these pathological events may occur along afferent or efferent WM fiber pathways, leading to antero- or retrograde degeneration. Thus, for a better understanding of MS pathological processes like its spatial and temporal progression, an accurate and sensitive characterization of WM fibers along their pathways is needed. By merging the spatial information of fiber tracking with the diffusion metrics derived obtained from longitudinal acquisitions, WM fiber-bundles could be modeled and analyzed along their profile. Such signal analysis of WM fibers can be performed by several methods providing either semi- or fully unsupervised solutions. In the first part of this work, we will give an overview of the studies already present in literature and we will focus our analysis on studies showing the interest of dMRI for WM characterization in MS. In the second part, we will introduce two new string-based methods, one semi-supervised and one unsupervised, to extract specific WM fiber-bundles. We will show how these algorithms allow to improve extraction of specific fiber-bundles compared to the approaches already present in literature. Moreover, in the second chapter, we will show an extension of the proposed method by coupling the string-based formalism with the spatial information of the fiber-tracks. In the third, and last part, we will describe, in order of complexity, three different fully automated algorithms to perform analysis of longitudinal changes visible along WM fiber-bundles in MS patients. These methods are based on Gaussian mixture model, nonnegative matrix and tensor factorisation respectively. Moreover, in order to validate our methods, we introduce a new model to simulate real longitudinal changes based on a generalised Gaussian probability density function. For those algorithms high levels of performances were obtained for the detection of small longitudinal changes along the WM fiber-bundles in MS patients. In conclusion, we propose, in this work, a new set of unsupervised algorithms to perform a sensitivity analysis of WM fiber bundle that would be useful for the characterisation of pathological alterations occurring in MS patients
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Villette, François. "Endommagement de milieux hétérogènes : Le papier en tant que matériau modèle." Thesis, Université Grenoble Alpes, 2020. http://www.theses.fr/2020GRALI062.

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La compréhension, la modélisation et la prévision de la rupture dans les matériaux hétérogènes sont des enjeux importants pour de nombreuses applications comme la résistance des structures de génie-civil ou les détachements de blocs rocheux par exemple. Actuellement, la modélisation de la fissuration dans les modèles d’endommagement fait intervenir une longueur interne qui n’est pas encore reliée explicitement aux longueurs caractéristiques du matériau. L’objectif de ce travail est d’étudier l’influence des hétérogénéités du matériau sur les processus de fissuration en utilisant le papier comme matériau d’étude. Ce matériau a en effet la propriété de révéler sa structure (fibres et agrégats de fibres) par transmission optique et permet ainsi de suivre l’évolution de l’endommagement au cours de la rupture à moindres coûts. Dans un premier temps, les propriétés structurales et mécaniques locales des agrégats de fibres ont été obtenues à partir d’images acquises par tomographie à rayons X et d’essais de tractions. Des essais de traction filmés ont ensuite permis de visualiser le développement de la zone d’endommagement et de relier ses dimensions au comportement post-pic de la courbe de traction. Sur la base de cette analyse, une méthode originale de calage de la longueur interne a été proposée sur un modèle d’endommagement continu non local. Le rôle des différentes longueurs caractéristiques du matériau a été mis en évidence par ces résultats qui ont été complétés par une étude de la statistique de propagation de fissure dans un matériau hétérogène en utilisant un Fiber Bundle Model (modèle à faisceaux de fibres), que nous avons dans le cadre de cette thèse étendu à des champs aléatoires de rupture corrélés dans l’espace
The understanding, modeling and prediction of failure in heterogeneous materials are important issues for many applications such as the resistance of civil engineering structures or rock detachments for example. Currently, damage models involve an internal length that is not yet explicitly related to the characteristic lengths of the material. The objective of this work is to study the influence of material heterogeneities on cracking processes using paper as a model material. Indeed, this material has the property to reveal its structure (fibers and fiber aggregates) by optical transmission and thus allows following the evolution of the damage during the rupture at lower costs. In a first step, the local structural and mechanical properties of the fiber aggregates were obtained from images acquired by X-ray tomography and tensile tests. Filmed tensile tests were then used to visualize the development of the fracture process zone and to relate its dimensions to the post-peak behaviour of the tensile curve. On the basis of this analysis, a novel method of calibration of the internal length was proposed on a non-local continuous damage model. The role of the different characteristic lengths of the material was highlighted by these results which were complemented by a study of the crack propagation statistics in a heterogeneous material using a Fiber Bundle Model that we have extended to spatially correlated random fields of rupture
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Mazzetti, Caterina. "A mathematical model of the motor cortex." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2017. http://amslaurea.unibo.it/15002/.

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In this work we present a geometric model of motor cortex that generalizes an already existing model of visual cortex. The thesis opens by recalling the notions of fiber bundles, principal bundles, Lie groups and sub-Riemannian geometry. In particular, we enunciate Chow’s theorem which ensures that if the Hörmander condition holds, the space connectivity property is satisfied. Then we recall the visual cortex model proposed by Citti-Sarti, which describes the set of simple cells as a Lie group with sub-Riemannian metric. The original part of the thesis is the extension to the motor cortex. Based on neural data, collected by Georgopoulos, we study the set of motor cortical cells and we describe them as a principal bundle. The fiber contains the movement direction and shapes the hypercolumnar structure measured. Finally we determine the intrinsic coordinates of the motor cortex, studying the cellular response to the motor impulse.
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Chudoba, Rostislav, Martin Konrad, Markus Schleser, Konstantin Meskouris, and Uwe Reisgen. "Parametric study of tensile response of TRC specimens reinforced with epoxy-penetrated multi-filament yarns." Saechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden, 2009. http://nbn-resolving.de/urn:nbn:de:bsz:14-ds-1244043793029-57511.

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The paper presents a meso-scopic modeling framework for the simulation of three-phase composite consisting of a brittle cementitious matrix and reinforcing AR-glass yarns impregnated with epoxy resin. The construction of the model is closely related to the experimental program covering both the meso-scale test (yarn tensile test and double sided pull-out test) and the macro-scale test in the form of tensile test on the textile reinforced concrete specimen. The predictions obtained using the model are validated using a-posteriori performed experiments.
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Sun, Hao-Chun, and 孫浩淳. "Web-based Slope Stability Analysis with Fiber Bundle Model." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/77t38r.

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碩士
國立臺北科技大學
土木與防災研究所
98
In recent years, planting vegetation is gradually becoming a widely used technique for slope protection. A vascular plant cover can protect slopes from rainfall erosion and decrease the possibility of landslides.The mechanical method by Wu et al. (1979) is the most frequently used analysis method for the impact of plant roots on the stability of slopes. However, it assumed that plant roots would be destroyed at the same time by landslides which does not reflect the actual situation. Another method was by Pollen and Simon (2004) which used the Fiber Bundle Model theory to model the damage of plant roots based on the damage of materials. In this study, the Slope Stability Analysis Program by Lin (2009) was improved with the FBM function which allows it to analyze the vegetated slope stability with two calculations methods to choose from. The comparison result shows that the factors of safety generated by FBM are lower than those by Wu. Besides, the original PC-based Slope Stability Analysis Program has been rewritten to produce an web-based program with the capability of connecting servers from browsers to initiate the program without installation. It not only enhances the analysis efficiency but also creates links between the analysis program and the searching system of plant root database for further studies in the civil engineering field.
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Cheadle, Michael. "A predictive thermal model of heat transfer in a fiber optic bundle for a hybrid solar lighting system." 2005. http://catalog.hathitrust.org/api/volumes/oclc/64448095.html.

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Thesis (M.S.)--University of Wisconsin--Madison, 2005.
Typescript. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaves 109-111).
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Denniss, Jonathan, A. Turpin, F. Tanabe, C. Matsumoto, and A. M. McKendrick. "Structure–Function Mapping: Variability and Conviction in Tracing Retinal Nerve Fiber Bundles and Comparison to a Computational Model." 2014. http://hdl.handle.net/10454/11088.

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yes
Purpose: We evaluated variability and conviction in tracing paths of retinal nerve fiber bundles (RNFBs) in retinal images, and compared traced paths to a computational model that produces anatomically-customized structure–function maps. Methods: Ten retinal images were overlaid with 24-2 visual field locations. Eight clinicians and 6 naïve observers traced RNFBs from each location to the optic nerve head (ONH), recording their best estimate and certain range of insertion. Three clinicians and 2 naïve observers traced RNFBs in 3 images, 3 times, 7 to 19 days apart. The model predicted 10° ONH sectors relating to each location. Variability and repeatability in best estimates, certain range width, and differences between best estimates and model-predictions were evaluated. Results: Median between-observer variability in best estimates was 27° (interquartile range [IQR] 20°–38°) for clinicians and 33° (IQR 22°–50°) for naïve observers. Median certain range width was 30° (IQR 14°–45°) for clinicians and 75° (IQR 45°–180°) for naïve observers. Median repeatability was 10° (IQR 5°–20°) for clinicians and 15° (IQR 10°–29°) for naïve observers. All measures were worse further from the ONH. Systematic differences between model predictions and best estimates were negligible; median absolute differences were 17° (IQR 9°–30°) for clinicians and 20° (IQR 10°–36°) for naïve observers. Larger departures from the model coincided with greater variability in tracing. Conclusions: Concordance between the model and RNFB tracing was good, and greatest where tracing variability was lowest. When RNFB tracing is used for structure–function mapping, variability should be considered.
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Books on the topic "Fiber bundle model"

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Hansen, Alex, Per C. Hemmer, and Srutarshi Pradhan, eds. The Fiber Bundle Model. Weinheim, Germany: Wiley-VCH Verlag GmbH & Co. KGaA, 2015. http://dx.doi.org/10.1002/9783527671960.

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Hansen, Alex, Per Christian Hemmer, and Srutarshi Pradhan. Fiber Bundle Model: Modeling Failure in Materials. Wiley-VCH Verlag GmbH, 2015.

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Physics of Finance: Gauge Modelling in Non-Equilibrium Pricing. Wiley, 2001.

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Ilinski, Kirill. Physics of Finance: Gauge Modelling in Non-Equilibrium Pricing. Wiley & Sons, Incorporated, John, 2007.

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Book chapters on the topic "Fiber bundle model"

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Flynn, Cormac, and M. B. Rubin. "Undesirable Anisotropy in a Discrete Fiber Bundle Model of Fibrous Tissues." In Structure-Based Mechanics of Tissues and Organs, 329–45. Boston, MA: Springer US, 2016. http://dx.doi.org/10.1007/978-1-4899-7630-7_16.

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El Kouby, V., Y. Cointepas, C. Poupon, D. Rivière, N. Golestani, J. B. Poline, D. Le Bihan, and J. F. Mangin. "MR Diffusion-Based Inference of a Fiber Bundle Model from a Population of Subjects." In Lecture Notes in Computer Science, 196–204. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11566465_25.

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Kun, F., F. Raischel, R. C. Hidalgo, and H. J. Herrmann. "Extensions of Fibre Bundle Models." In Modelling Critical and Catastrophic Phenomena in Geoscience, 57–92. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-35375-5_3.

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Hemmer, P. C., A. Hansen, and S. Pradhan. "Rupture Processes in Fibre Bundle Models." In Modelling Critical and Catastrophic Phenomena in Geoscience, 27–55. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/3-540-35375-5_2.

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Multhoff, Jörg B. "Towards Fiber Bundle Models for Composite Pressure Vessels." In Design and Analysis of Reinforced Fiber Composites, 49–65. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-20007-1_4.

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Chirikjian, Gregory S. "Locomotion and Perception as Communication over Principal Fiber Bundles." In Stochastic Models, Information Theory, and Lie Groups, Volume 2, 389–409. Boston: Birkhäuser Boston, 2011. http://dx.doi.org/10.1007/978-0-8176-4944-9_12.

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Durrleman, Stanley, Pierre Fillard, Xavier Pennec, Alain Trouvé, and Nicholas Ayache. "A Statistical Model of White Matter Fiber Bundles Based on Currents." In Lecture Notes in Computer Science, 114–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02498-6_10.

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Stamile, Claudio, Francesco Cauteruccio, Giorgio Terracina, Domenico Ursino, Gabriel Kocevar, and Dominique Sappey-Marinier. "A Model-Guided String-Based Approach to White Matter Fiber-Bundles Extraction." In Brain Informatics and Health, 135–44. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23344-4_14.

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Cauteruccio, Francesco, Claudio Stamile, Giorgio Terracina, Domenico Ursino, and Dominique Sappey-Marinier. "Integrating QuickBundles into a Model-Guided Approach for Extracting “Anatomically-Coherent” and “Symmetry-Aware” White Matter Fiber-Bundles." In Multidisciplinary Approaches to Neural Computing, 39–46. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-56904-8_4.

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"The Fiber Bundle Model." In The Fiber Bundle Model, 1–10. Weinheim, Germany: Wiley-VCH Verlag GmbH & Co. KGaA, 2015. http://dx.doi.org/10.1002/9783527671960.ch1.

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Conference papers on the topic "Fiber bundle model"

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Lahyani, A., Y. Boughaleb, M. Qjani, and R. Nassif. "Creep rupture in fiber bundle model." In 2008 2nd ICTON Mediterranean Winter (ICTON-MW). IEEE, 2008. http://dx.doi.org/10.1109/ictonmw.2008.4773060.

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Son, Seyul, Yanli Wang, and N. C. Goulbourne. "A Structure Based Constitutive Model for Bat Wing Skins, A Soft Biological Tissue." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-40924.

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Bat wing skin is a soft biological tissue that is used to enable flight (amongst other physiological roles) in bats such as the Glossophaga Soricina. To describe and predict wing behavior during flight, a high fidelity constitutive model validated by rigorous experimentation is required. Understanding the role that the tissue microstructure plays in achievable flight patterns and maneuverability will bring closer understanding of adaptations between species that yield specific flight behaviors and will also provide a template for developing synthetic skins for biomimicry in unmanned micro air vehicles. A structural continuum model that incorporates principal structural features of the wing skin can potentially provide a link between structure and functionality. Mesoscopic elastin fiber bundles on the order of hundreds of microns are the key constituents in the structure of bat wing. They are embedded in a base matrix composed by elastic ground substance and randomly oriented collagen fibers. The wing sweeps through very large deformations during flight and the fiber bundles undergo finite strains and large rotations presumed affine in the current treatment. To date, all the biological materials studied and modeled are comprised of stiff collagen fibers. The wing skin, on the other hand, is modeled as hyperelastic with distributed elastin fiber bundles with orientations belonging to two disparate families. Two families of fiber bundles have shown prominent difference in mechanical properties. More importantly, the bundle diameters vary dramatically with respect to bundle orientation even within each family. A mathematical treatment is formulated in this paper to capture the overall effect of distribution of diameters and distribution of orientations of fiber bundles based on the framework of Gasser et al [1]. This formulation is suitable in a general case when two fiber properties both vary spatially and they can be described using distribution functions such as Von Mises distribution.
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Ahmed, J., C. Cavdar, P. Monti, and L. Wosinska. "An Optimal Model for LSP Bundle Provisioning in PCE-based WDM Networks." In Optical Fiber Communication Conference. Washington, D.C.: OSA, 2011. http://dx.doi.org/10.1364/ofc.2011.othi6.

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Hudson Borja da Rocha and Lev Truskinovsky. "Brittle to ductile transition in democratic fiber bundle model." In 23rd ABCM International Congress of Mechanical Engineering. Rio de Janeiro, Brazil: ABCM Brazilian Society of Mechanical Sciences and Engineering, 2015. http://dx.doi.org/10.20906/cps/cob-2015-0571.

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Tenorio, Max, and Assimina A. Pelegri. "Interfacial Debonding of Glass Single Fiber Composites Using the Johnson-Cook Failure Model." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-66873.

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The interfacial relationship between a glass fiber bundle and epoxy resin is investigated both experimentally and computationally. A cylindrical notched specimen with a single bundle of fibers along the axis is created to observe debonding behavior. All specimens reached a critical stress value and exhibited debonding to some degree. All material properties are obtained experimentally. The Johnson-Cook failure model is used to simulate the experimental results. The computational model exhibits realistic stress distribution as well as calculates element deletion to simulate interfacial debonding. Simulation refinement will be necessary, especially at the interface, to produce more explicit results.
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Shahinpoor, Mohsen, Martin W. J. Burmeister, and Wesley Hoffman. "Design, Modeling and Fabrication of Micro-Robotic Actuators With Ionic Polymeric Gel and SMA Micro-Muscles." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0626.

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Abstract Presented are the details for design and fabrication of a novel micro-robotic actuator in a few micron-size range. The model is in the form of contractile fiber bundles embedded in or around micron size helical compression springs. The fiber bundle is assumed to consist of a parallel array of contractile fibers made form either electrically or chemically (pH muscles) contractile ionic polymeric muscles such as polyacrylic acid plus sodium acrylate cross-linked with bisacrylamide (PAAM) or polyacrylonitrile (PAN) fibers or electrically contractile shape-memory alloy (SMA) fiber bundles. The proposed model considers the electrically or pH-induced contraction of the ionic polymeric fibers as well as resistive heating of the SMA fiber bundles in case of shape-memory alloys. A theoretical model is also presented for the dynamic modeling of such micron size robotic actuators. These robotic micro-actuators will open a new frontier to the micro-universes of biological, scientific, medical and engineering systems. On the fabrication side, helical compression springs and bellows in a few microns size range have been manufactured in our laboratories to serve as the main resilient structure for the micro-robotic actuator. In principle, any size micro-robotic linear actuator can be fabricated and tested in our laboratory. For the case of ionic polymeric gel fibers the model consists of an encapsulated hermetically sealed, helical compression spring-loaded cylindrical linear actuators containing a counterionic solution or electrolyte such as water+acetone, a cylindrical helical compression micro-spring and a collection of polymeric gel fibers (polyelectrolytes) such as polyvinyl alcohol (PVA) polyacrylic acid (PAA) or polyacrylamide. Furthermore, the helical micro-spring not only acts as a compression spring between the two hermetically sealed circular end-caps but contains snugly the polymeric gel fiber bundle and also acts as the cathode (anode) electrode -while the two actuator end-caps act as the other cathode (anode) electrodes. In this fashion, a DC electric field of a few volts per centimeter per gram of polymer gel can cause the polymer gel fiber bundle to contract (expand). This causes the compression spring to contract and pull the two end-caps closer to each other against the elastic resistance of the helical spring. By reversing the action by means of reversing the electric field polarities the gel is allowed to expand while the compression spring is also expanding and helping the linear expansion of the actuator since the polymeric gel muscle expands due to the induced alkalinity along the helical spring body. Thus, electrical control of the expansion and the contraction of the micro-robotic linear actuator is possible. A mathematical model is presented based on the proposed composite structure that takes into account all pertinent variables such as the pH of the gel fiber bundle, the pH of the surrounding medium, the hyperelastic parameters of the fiber bundle, the electrical variables of the gel, the electric field strength, the pH field strength and all pertinent dimensions followed by some numerical and experimental simulations and data. For the second model, we consider the fiber bundle of SMA to be either circumscribed inside a micron size helical compression spring with flat heads or in parallel with a number helical compression springs, end-capped by two parallel circular plates with embedded electrodes to which the ends of the SMA fibers are secured. Thus, the fibers can be electrically heated and subsequently contracted to compress the helical compression spring back and forth. Design details are first described. In essence the dynamic behavior of the actuator depends on the interaction between the current supplied to the wires and the heat transfer from the wires. Further, a mathematical model is presented to simulate the electro-thermo-mechanics of motion of such actuators. The proposed model takes into account all pertinent variables such as the strain ϵ, the temperature of the fibers T(t) as a function of time t, the ambient temperature T0, the martensite fraction ξ, the helical compression spring constant k and the overall heat transfer coefficient h. Numerical simulations are then carried out and the results are compared with experimental observations of a number of fabricated systems in a size range of a few mcrons.
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Sudhir, Aswathi, and Ramesh Talreja. "The Effect of Fiber Clusters and Voids on the Coalescence of Debonds in Polymer Matrix Composites." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-72349.

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The objective of the current work is to conduct a systematic analysis on the effects of manufacturing induced defects such as random distribution of fibers and presence of voids in matrix on the damage initiation in polymeric composites. Upon infusing resin, the initial fiber configuration undergoes perturbation and results in a random distribution with pockets of resin rich areas and fiber clusters. In addition, this could result in micro voids (between the fibers in the bundle) and macro voids (between the fiber bundles). A novel methodology has been put forward to generate random distributions of fibers that would simulate different levels of perturbations in the manufacturing process resulting in different configurations of fiber clusters. An embedded Representative Volume Element (RVE) approach has been adopted in a finite element model to calculate the stress fields without artificial effects of the RVE boundary. Damage initiation is then analyzed using a previously proposed energy based criterion for cavitation in polymers.
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Tenorio, Max C., and Assimina A. Pelegri. "Computational-Experimental Investigation of Progressive Damage Using Johnson-Cook and Cohesive Zone Models in Fiberglass Composites." In ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71615.

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Fiber-matrix debonding is a common type of failure in composite materials. A computational model that illustrates this damage-induced separation between glass fiber and epoxy matrix in a fiberglass composite model is created from the ground-up. Material properties for the simulations are determined via in-house performed experiments. The tensile modulus of the epoxy matrix is determined to be 8.21 GPa measured using resin-only specimens according to ASTM D638-14. The glass fiber is a bundle of glass fibers extracted from a lattice-woven tape with the original purpose of fiberglass crack patching. These bundles contain approximately 1000 individual fibers per roving. A field-emissive scanning electron microscope study of the glass fiber reveals that the individual fiber diameters vary from 11.04μm to 13.52μm with an average of 11.97μm and a standard deviation of 0.604μm. Tensile tests are performed to the glass fiber bundles using custom grips designed in accordance to ASTM D7269. From these tests, it is found that the fiber Young’s Modulus ranged from 42 GPa to 61.7 GPa. Furthermore, in order to simulate a physical analogue to our computational simulations cylindrical composite specimens of a single bundle of fibers running through the central axis of the cylinder with 6.35mm diameter and 100mm length were prepared and tested. It is found that all of the test specimens exhibit some amount of debonding post-failure. The computational simulation is created in ABAQUS 6.14 to replicate the effects of the experimental composite and elucidate the debonding behavior on smaller time scales. The lower outer face is given a static pinned boundary condition while the upper outer face is given a displacement boundary condition to simulate the fixed lower grips and moving upper grips during the tensile test. The material properties obtained by the experimental tests are applied to the materials in the simulation. Two separate damage models are used in order to simulate breakage; the fiber and matrix utilize the Johnson-Cook failure model as plastic strain-to-failure and the fiber-matrix interface is governed by cohesive-zone elements. The computational model exhibits realistic stress distribution as well as calculates element deletion to simulate interfacial debonding. The simulations are able to show the matrix cracking at the notch and subsequently a separation between the fiber-matrix interface similar to the physical composite analogue.
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Cheadle, Michael J., Gregory F. Nellis, Sanford A. Klein, and William A. Beckman. "A Thermal Model of a Fiber Optic Bundle for a Hybrid Solar Lighting System." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80009.

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Hybrid solar lighting (HSL) systems distribute natural sunlight to luminaires located in office or retail buildings in order to reduce energy consumption associated with conventional lighting systems. HSL systems reduce energy consumption directly by reducing the lighting energy and indirectly by reducing the associated cooling loads. A key component of the HSL system is the fiber optic bundle (FOB) that transmits the light from the collector to the luminaire. The observed thermal failure of the FOB when exposed to concentrated sunlight has motivated the development of a thermal model of this component. This paper describes the development of a predictive thermal model of the heat transfer in an FOB for an HSL system. The model is verified experimentally against temperature measurements obtained in the lab under controlled conditions and provides a powerful design tool that can be used to evaluate alternative thermal management strategies.
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Wang, Rongqiao, Long Zhang, Dianyin Hu, Xiuli Shen, and Jun Song. "Mesoscopic Modeling of 3D Four-Directional Braided Composites." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56280.

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3D four-directional braided composites are becoming widely used in the aeroengines due to their excellent transverse properties such as stiffness, strength, fracture toughness and damage resistance. In spite of great achievements in composite materials, the model of 3D four-directional braided composites gives rise to considerable challenge in establishing interior fiber bundle structure which is curved and twisted in jamming condition. Original circular cross-section of fiber bundle is squeezed into oval shape ellipse in manufacturing process of the jamming action. Thus, a novel mesoscopic modeling approach for 3D four-directional braided composites was proposed in this study, which considered the fiber bundle cross-section’s deformation. Firstly, an analytic equation to describe the transformation of fiber bundle cross-section was established based on the equal area of the ellipse and circle. Secondly, the parameters of this equation were achieved using the Matlab simulation. It was concluded that the compacted, non-interfered fiber bundle model constructed was in good agreement with actual structure. This paper provides the mathematical relationship between braiding parameters and geometric dimensions of unit cell model. Numerical results showed that the value of braiding pitch length has a relative calculation error less than 4% compared with test data. The modeling technique lays a foundation for further mesomechanics investigation on 3D four-directional braided composites.
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