Journal articles: '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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Xing, Jing Zhong, Li Chen, and Jin Chao Li. "Transverse Elastic Deformation Behavior of Aligned Fiber Bundles under Bulk Compressive Pressure and Longitudinal Stress." Advanced Materials Research 97-101 (March 2010): 1689–92. http://dx.doi.org/10.4028/www.scientific.net/amr.97-101.1689.

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Advanced composite materials generally use fiber in very high volume fraction, compression of textile/perform is adopted in manufacture processes. The major role of the compaction process is to obtain high fiber volume fraction in final parts. During the compaction process, transverse compaction of textile/perform is the main deformation form, where the compaction behavior of a fiber bundle is the most basis issue. In this paper, a micromechanical model of aligned fiber bundle with high fiber volume fraction was developed to investigate elastic deformation behavior under bulk compressive pressure and longitudinal stress. Bending characteristics of a waved fiber was established to describe the transverse bulk compression and the longitudinal deformations of a bundle. A wave amplitude was introduced to describe initial distance between fibers, which affects the initial fiber volume fraction and the transverse deformation feature. An improved representative fiber cell was present to get the deflection of a bending fiber under transverse and axial force. Randomly distributed directions of waved fibers lead to a more reasonable representative fiber cell, which influences initial fiber volume fraction and leads to logical deformation explanation and symmetric constitutive relation for aligned fiber bundle with high volume fraction. Analytical formulae to describe the constitutive relationship of fiber bundle under transverse and longitudinal stress were present. Numerical results show that the transverse bulk compressive stress and its deformation are related to wave amplitude and available fiber volume fraction. The comparison to present literatures was given to show the improvement of the model.

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Reus, N. J., F. M. Vos, H. G. Lemij, A. M. Vossepoel, and K. A. Vermeer. "Split Bundle Detection in Polarimetric Images of the Human Retinal Nerve Fiber Layer." Methods of Information in Medicine 46, no. 04 (2007): 425–31. http://dx.doi.org/10.1160/me0400.

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Summary Objectives: One method for assessing pathological retinal nerve fiber layer (NFL) appearance is by comparing the NFL to normative values, derived from healthy subjects. These normative values will be more specific when normal physiological differences are taken into account. One common variation is a split bundle. This paper describes a method to automatically detect these split bundles. Methods: The thickness profile along the NFL bundle is described by a non-split and a split bundle model. Based on these two fits, statistics are derived and used as features for two non-parametric classifiers (Parzen density based and k nearest neighbor). Features were selected by forward feature selection. Three hundred and nine superior and 324 inferior bundles were used to train and test this method. Results: The prevalence of split superior bundles was 68% and the split inferior bundles’ prevalence was 13%. The resulting estimated error of the Parzen density-based classifier was 12.5% for the superior bundle and 10.2% for the inferior bundle. The k nearest neighbor classifier errors were 11.7% and 9.2%. Conclusions: The classification error of automated detection of split inferior bundles is not much smaller than its prevalence, thereby limiting the usefulness of separate cut-offvalues for split and non-split inferior bundles. For superior bundles, however, the classification error was low compared to the prevalence. Application of specific cut-offvalues, selected by the proposed classification system, may therefore increase the specificity and sensitivity of pathological NFL detection.

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Chakrabarti, Bikas K. "A fiber bundle model of traffic jams." Physica A: Statistical Mechanics and its Applications 372, no. 1 (December 2006): 162–66. http://dx.doi.org/10.1016/j.physa.2006.05.003.

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Halász, Z., and F. Kun. "Slip avalanches in a fiber bundle model." EPL (Europhysics Letters) 89, no. 2 (January 1, 2010): 26008. http://dx.doi.org/10.1209/0295-5075/89/26008.

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Kim, Jeong Yong, Nicholas Mazzoleni, and Matthew Bryant. "Modeling of Resistive Forces and Buckling Behavior in Variable Recruitment Fluidic Artificial Muscle Bundles." Actuators 10, no. 3 (February 26, 2021): 42. http://dx.doi.org/10.3390/act10030042.

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Fluidic artificial muscles (FAMs), also known as McKibben actuators, are a class of fiber-reinforced soft actuators that can be pneumatically or hydraulically pressurized to produce muscle-like contraction and force generation. When multiple FAMs are bundled together in parallel and selectively pressurized, they can act as a multi-chambered actuator with bioinspired variable recruitment capability. The variable recruitment bundle consists of motor units (MUs)—groups of one of more FAMs—that are independently pressurized depending on the force demand, similar to how groups of muscle fibers are sequentially recruited in biological muscles. As the active FAMs contract, the inactive/low-pressure units are compressed, causing them to buckle outward, which increases the spatial envelope of the actuator. Additionally, a FAM compressed past its individual free strain applies a force that opposes the overall force output of active FAMs. In this paper, we propose a model to quantify this resistive force observed in inactive and low-pressure FAMs and study its implications on the performance of a variable recruitment bundle. The resistive force behavior is divided into post-buckling and post-collapse regions and a piecewise model is devised. An empirically-based correction method is proposed to improve the model to fit experimental data. Analysis of a bundle with resistive effects reveals a phenomenon, unique to variable recruitment bundles, defined as free strain gradient reversal.

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Haddad, Y. M., and S. Tanary. "On the Micromechanical Characterization of the Creep Response of a Class of Composite Systems." Journal of Pressure Vessel Technology 111, no. 2 (May 1, 1989): 177–82. http://dx.doi.org/10.1115/1.3265655.

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The temperature-dependent creep of a class of composite systems is considered with the inclusion of the microstructure. The material system is regarded as a three-dimensional viscoelastic matrix which is reinforced with randomly oriented, short viscoelastic fiber-bundles. The nonlinear creep response of the composite matrix is modeled within the considered temperature range, using a modified form of the hereditary constitutive equation in linear viscoelasticity. The time-dependent behavior of the individual fiber-bundle is formulated as a combination of a viscoelastic matrix substance within the bundle and an ensemble of unidirectional, elastic fibers. The macroscopic behavior of the randomly oriented, fiber-composite is determined, with the inclusion of the microstructure, using the laminate analogy which assumes that the random fiber-composite may be treated as a laminated “quasi-isotropic” material. The presented approach is illustrated numerically for the case of the creep of SMC-R50 composite system within a temperature range of 28° to 76°C. The theoretical model is presented in a generalized manner and could be applicable to a large class of composite systems.

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Deng, Dongdong, Peifeng Jiao, Xuesong Ye, and Ling Xia. "An Image-Based Model of the Whole Human Heart with Detailed Anatomical Structure and Fiber Orientation." Computational and Mathematical Methods in Medicine 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/891070.

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Many heart anatomy models have been developed to study the electrophysiological properties of the human heart. However, none of them includes the geometry of the whole human heart. In this study, an anatomically detailed mathematical model of the human heart was firstly reconstructed from the computed tomography images. In the reconstructed model, the atria consisted of atrial muscles, sinoatrial node, crista terminalis, pectinate muscles, Bachmann’s bundle, intercaval bundles, and limbus of the fossa ovalis. The atrioventricular junction included the atrioventricular node and atrioventricular ring, and the ventricles had ventricular muscles, His bundle, bundle branches, and Purkinje network. The epicardial and endocardial myofiber orientations of the ventricles and one layer of atrial myofiber orientation were then measured. They were calculated using linear interpolation technique and minimum distance algorithm, respectively. To the best of our knowledge, this is the first anatomically-detailed human heart model with corresponding experimentally measured fibers orientation. In addition, the whole heart excitation propagation was simulated using a monodomain model. The simulated normal activation sequence agreed well with the published experimental findings.

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Mertová, Iva, Eva Moučková, Bohuslav Neckář, and Monika Vyšanská. "Influence of Twist on Selected Properties of Multifilament Yarn." Autex Research Journal 18, no. 2 (June 1, 2018): 110–20. http://dx.doi.org/10.1515/aut-2017-0018.

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Abstract Owing to twisting of filament fiber bundle, the structure and consequently various parameters and properties of a fiber bundle are changed. The aim of the work is to verify the effect of multifilament yarn twist (or twist coefficient) on selected mechanical properties such as multifilament tenacity, breaking elongation, and coefficient of fiber stress utilization in the yarn. Furthermore, the influence of twist on structural parameters such as the angle of peripheral fibers, the packing density, and the substance cross-sectional area of fiber bundle is observed. Two multifilament yarns with different filament cross-section shape and material were used for the experiment. Experimentally obtained data was compared with the known model dependencies derived decades ago based on the helical model. It can be stated that multifilament yarn retraction can be predicted based on the angle of peripheral fibers using the Braschler’s model. The coefficient of fiber stress utilization in the multifilament yarn determined experimentally corresponds with a theoretical curve, constructed according to Gégauff and Neckář, in the area of Koechlin’s twist coefficient α > 54 ktex1/2 m−1. Results as well as possible causes of deviations of experimental data from the theoretical one are discussed in this work.

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Guo, Zhe, Yi Wang, Tao Lei, Yangyu Fan, and Xiuwei Zhang. "DTI Image Registration under Probabilistic Fiber Bundles Tractography Learning." BioMed Research International 2016 (2016): 1–12. http://dx.doi.org/10.1155/2016/4674658.

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Diffusion Tensor Imaging (DTI) image registration is an essential step for diffusion tensor image analysis. Most of the fiber bundle based registration algorithms use deterministic fiber tracking technique to get the white matter fiber bundles, which will be affected by the noise and volume. In order to overcome the above problem, we proposed a Diffusion Tensor Imaging image registration method under probabilistic fiber bundles tractography learning. Probabilistic tractography technique can more reasonably trace to the structure of the nerve fibers. The residual error estimation step in active sample selection learning is improved by modifying the residual error model using finite sample set. The calculated deformation field is then registered on the DTI images. The results of our proposed registration method are compared with 6 state-of-the-art DTI image registration methods under visualization and 3 quantitative evaluation standards. The experimental results show that our proposed method has a good comprehensive performance.

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Roux, Stéphane. "Thermally activated breakdown in the fiber-bundle model." Physical Review E 62, no. 5 (November 1, 2000): 6164–69. http://dx.doi.org/10.1103/physreve.62.6164.

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Kim, B. J. "Phase transition in the modified fiber bundle model." Europhysics Letters (EPL) 66, no. 6 (June 2004): 819–25. http://dx.doi.org/10.1209/epl/i2004-10038-4.

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Kormaníková, Eva, and Kamila Kotrasova. "Finite Element Analysis of Damage Modeling of Fiber Reinforced Laminate Plate." Applied Mechanics and Materials 617 (August 2014): 247–50. http://dx.doi.org/10.4028/www.scientific.net/amm.617.247.

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The paper deals with identifying of the damage model for a bundle of T300 and AS4D fibers under tensile load. The damage model is implemented in ANSYS for a one-dimensional bar element and obtained the strain-stress response of a bundle of fibers. The delamination of laminate plate, which consists of unidirectional fiber reinforced layers, is investigated. The methodology adopts the first-order shear laminate plate theory and fracture and contact mechanics. Within the interface modeling there are calculated the individual components of energy release rate along the lamination front. Numerical results are given for mixed mode delamination problems. Numerical example is done by the commercial ANSYS code.

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Gagani, Abedin, Yiming Fan, Anastasia H. Muliana, and Andreas T. Echtermeyer. "Micromechanical modeling of anisotropic water diffusion in glass fiber epoxy reinforced composites." Journal of Composite Materials 52, no. 17 (December 3, 2017): 2321–35. http://dx.doi.org/10.1177/0021998317744649.

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Fluid diffusion in fiber reinforced composites is typically anisotropic. Diffusivity in the fiber direction is faster than in the transverse direction. The reason for this behavior is not yet fully understood. In this work, dealing with glass fiber epoxy composite immersed in distilled water, an experimental procedure for determination of anisotropic diffusion constants from a laminate is presented. The method has the advantage that it does not require sealing of the samples edges because 3-D anisotropic diffusion theory is implemented for obtaining the diffusion constants. A microscale model is presented, where matrix and fiber bundles are modeled separately. The matrix properties have been obtained experimentally and the fiber bundle properties have been deduced by the composite homogenized diffusivity model. The analysis indicates that the anisotropic diffusion of the composite is due to inherent anisotropic properties of the fiber bundles.

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Dietrich, Sascha, Olga Lykhachova, Xiaoyin Cheng, Michael Godehardt, Markus Kronenberger, Michael Meyer, David Neusius, et al. "Simulation of Leather Visco-Elastic Behavior Based on Collagen Fiber-Bundle Properties and a Meso-Structure Network Model." Materials 14, no. 8 (April 10, 2021): 1894. http://dx.doi.org/10.3390/ma14081894.

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Simulation-based prediction of mechanical properties is highly desirable for optimal choice and treatment of leather. Nowadays, this is state-of-the-art for many man-made materials. For the natural material leather, this task is however much more demanding due to the leather’s high variability and its extremely intricate structure. Here, essential geometric features of the leather’s meso-scale are derived from 3D images obtained by micro-computed tomography and subsumed in a parameterizable structural model. That is, the fiber-bundle structure is modeled. The structure model is combined with bundle properties derived from tensile tests. Then the effective leather visco-elastic properties are simulated numerically in the finite element representation of the bundle structure model with sliding contacts between bundles. The simulation results are validated experimentally for two animal types, several tanning procedures, and varying sample positions within the hide. Finally, a complete workflow for assessing leather quality by multi-scale simulation of elastic and visco-elastic properties is established and validated.

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Gao, Bo, Min Tang, and Hong Bin Shi. "Tensile Properties of 4D In-Plane C/C Composites." Applied Mechanics and Materials 161 (March 2012): 30–36. http://dx.doi.org/10.4028/www.scientific.net/amm.161.30.

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The tensile properties of 4D in-plane carbon/carbon (C/C) composites were researched by MTS machine and ARAMIS optical strain test system. A damage model for analysis the gradual damage was proposed, which chose hoffman criterion and twin shear strength theory as the failure criterion of fiber bundle and matrix, respectively. Cohesive zone model was used to simulate the interfacial debonding at the fiber bundle/matrix interface. The effect of shear strength of fiber bundle/matrix interface on the tensile strength was researched. It is shown that the major factor caused by the failure of the material at axial tensile is the interface debonding, which make the fiber bundle pull out from the matrix. The failure factor for the radical tensile is the crack through out the fiber bundle and matrix, and that make the material fracture. Simulation result shows the interface shear strength have a significant effect on the tensile strength. With the strength promote, the tensile strength increase, and the best value of interface strength is 11MPa.

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Liu, Zhong Bin, Huan Wang, and Juan Tang. "The Effect of the Long Fiber Bundles Bulk Density on Filtration Efficiency." Advanced Materials Research 838-841 (November 2013): 2648–53. http://dx.doi.org/10.4028/www.scientific.net/amr.838-841.2648.

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In the paper, taking the particles suspension for filtered object, the effect of the long fiber bundles bulk density on filtration efficiency was studied through the filtration experiments with the designed experimental equipment. And combining with the filtering model of long fiber bundle filter to do fluid analysis, the result show that, for the filtering velocity is 72m / h, in the filtration efficiency, filtration cycle, backwashing and other aspects of comprehensive performance of long fiber high efficient filter are best when the packed density is 73kg/m3.

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Yamada, Yuhei, and Yoshihiro Yamazaki. "Avalanche Distribution of Fiber Bundle Model with Random Displacement." Journal of the Physical Society of Japan 88, no. 2 (February 15, 2019): 023002. http://dx.doi.org/10.7566/jpsj.88.023002.

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Zhang, Shu-dong, Zu-qia Huang, and E.-jiang Ding. "Complex fiber bundle model for optimization of heterogeneous materials." Physical Review E 54, no. 4 (October 1, 1996): 3314–19. http://dx.doi.org/10.1103/physreve.54.3314.

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Vladimirov, A. G., Vladislav Yu Toronov, and Vladimir L. Derbov. "The Complex Lorenz Model: Geometric Structure, Homoclinic Bifurcation and One-Dimensional Map." International Journal of Bifurcation and Chaos 08, no. 04 (April 1998): 723–29. http://dx.doi.org/10.1142/s0218127498000516.

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It is shown that the phase space of the complex Lorenz model has the geometric structure associated with a fiber bundle. Using the equations of motion in the base space of the fiber bundle the surfaces bounding the attractors in this space are found. The homoclinic "butterfly" responsible for the Lorenz-like attractor appearance is shown to correspond to a codimension-two bifurcation. One-dimensional map describing bifurcation phenomena in the complex Lorenz model is constructed.

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Suzuki, H., and Hideki Sekine. "Fracture Energy and Fracture Behavior of Short-Fiber-Reinforced SMC Composites." Key Engineering Materials 430 (March 2010): 31–40. http://dx.doi.org/10.4028/www.scientific.net/kem.430.31.

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A probabilistic fracture model is introduced to clarify the influence of the fiber bundle-matrix interfacial condition on the fracture energy and fracture behavior of short-fiber-reinforced SMC composites. In this paper, we focus on the study of the influences of two parameters of the interfacial condition, i.e., the debond stress and the constant which governs the frictional forces acting on the debonding interfaces between fiber bundles and matrix in a debonding process, and then the influences of these parameters on the fracture energy and load-displacement curve are elucidated.

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Kim, Soo Y., Rohit Sachdeva, Zi Li, Dongwoon Lee, and Benjamin W. C. Rosser. "Change in the Pathologic Supraspinatus: A Three-Dimensional Model of Fiber Bundle Architecture within Anterior and Posterior Regions." BioMed Research International 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/564825.

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Supraspinatus tendon tears are common and lead to changes in the muscle architecture. To date, these changes have not been investigated for the distinct regions and parts of the pathologic supraspinatus. The purpose of this study was to create a novel three-dimensional (3D) model of the muscle architecture throughout the supraspinatus and to compare the architecture between muscle regions and parts in relation to tear severity. Twelve cadaveric specimens with varying degrees of tendon tears were used. Three-dimensional coordinates of fiber bundles were collectedin situusing serial dissection and digitization. Data were reconstructed and modeled in 3D using Maya. Fiber bundle length (FBL) and pennation angle (PA) were computed and analyzed. FBL was significantly shorter in specimens with large retracted tears compared to smaller tears, with the deeper fibers being significantly shorter than other parts in the anterior region. PA was significantly greater in specimens with large retracted tears, with the superficial fibers often demonstrating the largest PA. The posterior region was absent in two specimens with extensive tears. Architectural changes associated with tendon tears affect the regions and varying depths of supraspinatus differently. The results provide important insights on residual function of the pathologic muscle, and the 3D model includes detailed data that can be used in future modeling studies.

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Aslian, Afshin, Kok-Keong Chong, Seyed Hassan Tavassoli, Chin-Joo Tan, and Omid Badkoobe Hazave. "Rectangular Glass Optical Fiber for Transmitting Sunlight in a Hybrid Concentrator Photovoltaic and Daylighting System." International Journal of Photoenergy 2020 (November 26, 2020): 1–15. http://dx.doi.org/10.1155/2020/8813688.

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In this paper, we propose to use glass optical fibers with a rectangular cross-section for the application in a concentrator photovoltaic and daylighting system (CPVD) due to the unique characteristics of rectangular fibers with the capability to provide a uniform rectangular beam shape and a top-hat profile at the output. A mathematical model of rectangular optical fibers has been formulated in this study for different incident angles, and the results are compared with those of round optical fibers. Furthermore, the performance of the bundle of RGOFs is compared with that of the bundle of round optical fibers via simulation by using the ray-tracing method. The mathematical modelling and numerical simulation have demonstrated that the RGOF has advantages in terms of the improvement in relative transmission and reduction in energy leakage for the transmission through the optical fiber. The simulation result also shows that a higher flux of sunlight can be transmitted via the bundle of RGOFs as compared to the bundle of round optical fibers due to the higher coupling efficiency. The experiment results on the relative transmission in different incident angles for both round optical fibers and RGOFs have validated both the simulation and the mathematical modelling. The beam profile of our fabricated RGOF has also been measured via our laboratory facility. The flexibility test on the fabricated RGOF has been carried out to bend at a radius of 150 mm and twist at 90° at a fiber length of 2.2 m.

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He, Bo Lin, Ying Xia Yu, Jia Sun, Jing Liu, and Jian Ping Shi. "Effects of Carbon Fiber Dispersion on Bending Property of Cf/SiC Brake Materials." Key Engineering Materials 512-515 (June 2012): 793–97. http://dx.doi.org/10.4028/www.scientific.net/kem.512-515.793.

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With increasing of the speed of the train, the requirement of the performance of the braking friction materials is more and more higher. It is urgent to find new braking materials to satisfy the rigorous using environment. Cf/SiC has the broad application prospects when it is used as a new kind of braking material. On this article, in order to shorten preparation cycle and reduced production costs, short carbon fiber is substituted continuous carbon fiber felt. Cf/SiC brake materials were prepared by the way of molding compression-pressureless sintering with resin binder. The effect of short carbon fiber dispersion on bending properties of brake materials was researched. The experimental results show that the bending strength of Cf/SiC brake materials, which manufactured by dispersing short carbon fibers, is higher than the composites manufactured by using fiber bundle. When the distribution of carbon fiber in composites is in single fiber state, the interfacial strength between carbon fibers and matrix were increased. At the experimental condition, compared to the sample with fiber bundle, the bending strength of the specimen with dispersed fiber is increased 40.79%. The toughening mechanism of carbon fiber debonding and fiber pull were generated in the process of bending fracture. The fracture model of composites is pseudo-ductile type.

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34

Wolk, Brian Jonathan. "The underlying geometry of the CAM gauge model of the Standard Model of particle physics." International Journal of Modern Physics A 35, no. 07 (March 10, 2020): 2050037. http://dx.doi.org/10.1142/s0217751x20500372.

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The Composition Algebra-based Methodology (CAM) [B. Wolk, Pap. Phys. 9, 090002 (2017); Phys. Scr. 94, 025301 (2019); Adv. Appl. Clifford Algebras 27, 3225 (2017); J. Appl. Math. Phys. 6, 1537 (2018); Phys. Scr. 94, 105301 (2019), Adv. Appl. Clifford Algebras 30, 4 (2020)], which provides a new model for generating the interactions of the Standard Model, is geometrically modeled for the electromagnetic and weak interactions on the parallelizable sphere operator fiber bundle [Formula: see text] consisting of base space, the tangent bundle [Formula: see text] of space–time [Formula: see text], projection operator [Formula: see text], the parallelizable spheres [Formula: see text] conceived as operator fibers [Formula: see text] attaching to and operating on [Formula: see text] [Formula: see text] as [Formula: see text] varies over [Formula: see text], and as structure group, the norm-preserving symmetry group [Formula: see text] for each of the division algebras which is simultaneously the isometry group of the associated unit sphere. The massless electroweak [Formula: see text] Lagrangian is shown to arise from [Formula: see text]’s generation of a local coupling operation on sections of Dirac spinor and Clifford algebra bundles over [Formula: see text]. Importantly, CAM is shown to be a new genre of gauge theory which subsumes Yang–Mills Standard Model gauge theory. Local gauge symmetry is shown to be at its core a geometric phenomenon inherent to CAM gauge theory. Lastly, the higher-dimensional, topological architecture which generates CAM from within a unified eleven [Formula: see text]-dimensional geometro-topological structure is introduced.

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Liu, Zhong Bin, Huan Wang, and Juan Tang. "Numerical Simulation of Filtration Process of Long Fiber Bundle Filter." Advanced Materials Research 791-793 (September 2013): 1541–45. http://dx.doi.org/10.4028/www.scientific.net/amr.791-793.1541.

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on the base of dynamic model of long fiber high efficient filter, simulation model of filtration process of long fiber high efficient filter was established. Fluid simulation software was utilized to do the numerical simulation of filtration process of long fiber high efficient filter and the curve of filter effluent concentration, porosity distribution along the height of filter layer and filtering precision vary with time was obtained. The simulation results showed that simulation model can be used to measure and calculate the filtering precision, effective filtration cycle and filter effluent concentration of long fiber bundles filter under the conditions of different initial filter speed, other fiber diameter, and various fiber bundles loading quantity.

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Hao, Da-Peng, Gang Tang, Hui Xia, Zhi-Peng Xun, and Kui Han. "The avalanche process of the fiber bundle model with defect." Physica A: Statistical Mechanics and its Applications 472 (April 2017): 77–85. http://dx.doi.org/10.1016/j.physa.2017.01.017.

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Hao, Da-Peng, Gang Tang, Zhi-Peng Xun, Hui Xia, and Kui Han. "Simulation of finite size effects of the fiber bundle model." Physica A: Statistical Mechanics and its Applications 490 (January 2018): 338–46. http://dx.doi.org/10.1016/j.physa.2017.08.087.

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Shan, Zhi, Zhiwu Yu, Xiao Li, and Ying Xie. "Damage Quantification in Concrete under Fatigue Loading Using Acoustic Emission." Journal of Sensors 2019 (November 3, 2019): 1–13. http://dx.doi.org/10.1155/2019/1359853.

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Acoustic emission (AE) is an effective nondestructive evaluation method for assessing damage in materials; however, few works in the literature have focused on one quantification method of damage in concrete under fatigue loading by using AE for characterizing the entire three main deterioration behaviors simultaneously. These deterioration behaviors include Young’s modulus degradation, fatigue total strain, and residual strain development. In this work, an AE quantification method of fatigue damage in concrete was developed, by combining AE and a fiber bundle-based statistical damage model (fiber bundle-irreversible chain model). By establishing a relationship between normalized AE counts and the damage variable based on the fiber bundle-irreversible chain model, the method was proposed. Additionally, this method was verified against the experimental results. It is able to capture the mechanisms of damage accumulation and characterize the three deterioration behaviors simultaneously.

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Zhang, Kang, Xiaodong Liu, Fisseha Wubneh Asmare, Puxin Zhu, Ruixia Li, and Dacheng Wu. "Probabilistic model for structural mechanics of fiber bundle and its application to PBO fiber." Journal of The Textile Institute 112, no. 1 (March 31, 2020): 138–43. http://dx.doi.org/10.1080/00405000.2020.1744237.

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DIVAKARAN, UMA, and AMIT DUTTA. "FIBERS ON A GRAPH WITH LOCAL LOAD SHARING." International Journal of Modern Physics C 18, no. 06 (June 2007): 919–26. http://dx.doi.org/10.1142/s0129183107010632.

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We study a random fiber bundle model with tips of the fibers placed on a graph having co-ordination number 3. These fibers follow local load sharing with uniformly distributed threshold strengths of the fibers. We have studied the critical behavior of the model numerically using a finite size scaling method and the mean field critical behavior is established. The avalanche size distribution is also found to exhibit a mean field nature in the asymptotic limit.

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Kholinne, Erica, Rizki Fajar Zulkarnain, Hyun-Joo Lee, Arnold Adikrishna, and In-Ho Jeon. "Functional Classification of the Medial Ulnar Collateral Ligament: An In Vivo Kinematic Study With Computer-Aided Design." Orthopaedic Journal of Sports Medicine 6, no. 3 (March 1, 2018): 232596711876275. http://dx.doi.org/10.1177/2325967118762750.

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Background: It has been widely accepted that the anterior and posterior bundles of the medial ulnar collateral ligament (MUCL) tighten at extension and flexion, respectively. However, this belief is based on anatomic data acquired from cadaveric studies. The advancement of 3-dimensional (3D) model technology has made possible the simulation of dynamic movement that includes each ligament bundle fiber to analyze its functional properties. To date, no study has analyzed ligament kinematics at the level of the fibers while also focusing on their functional properties. Purpose: To propose a new classification for functional properties of the MUCL based on its kinematic pattern. Study Design: Descriptive laboratory study. Methods: Five healthy elbow joints were scanned by use of computed tomography, and 3D models were rendered and translated into vertex points for further mathematical analysis. The humeral origin and ulnar insertion of the MUCL fiber groups were registered. Each vertex point on the origin side was randomly connected to the insertion side, with each pair of corresponding points defined as 1 ligament fiber. Lengths of all the fibers were measured at 1° increments of elbow range of motion (ROM). Ligament fibers were grouped according to their patterns. Mean coverage area for each group, expressed as the percentage of ligament fibers per group to the total number of fibers, was calculated. Results: Four major bundle groups were found based on fiber length properties. Kinematic simulation showed that each group had a different kinematic function throughout elbow ROM. Mean coverage area of groups 1, 2, 3, and 4 was 8% ± 4%, 10% ± 5%, 42% ± 6%, and 40% ± 8%, respectively. Each group acted as a dominant stabilizer in certain arcs of motion. Reciprocal activity was observed between groups 1 and 3 along with groups 2 and 4 to produce synergistic properties of maintaining elbow stability. Conclusion: Detailed analysis of fibers of the MUCL allows for further understanding of its kinematic function. This study provides MUCL group coverage area and kinematic function for each degree of motion arc, allowing selective reconstruction of the MUCL according to mechanism of injury. Clinical Relevance: Understanding the dominant functional fibers of the MUCL will benefit surgeons attempting MUCL reconstruction and will enhance further anatomic study.

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Roberge, Fernand A., Sining Wang, Hervé Hogues, and L. Joshua Leon. "Propagation on a central fiber surrounded by inactive fibers in a multifibered bundle model." Annals of Biomedical Engineering 24, no. 6 (November 1996): 647–61. http://dx.doi.org/10.1007/bf02684178.

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Bogoeva-Gaceva, Gordana, Niko Heraković, Dimko Dimeski, and Viktor Stefov. "Ultrasound assisted process for enhanced interlaminar shear strength of carbon fiber/epoxy resin composites." Macedonian Journal of Chemistry and Chemical Engineering 29, no. 2 (December 15, 2010): 149. http://dx.doi.org/10.20450/mjcce.2010.161.

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The influence of ultrasonic treatment, applied during the impregnation of carbon fiber bundle by resin system, on interface sensitive properties of carbon fiber/epoxy resin composites has been analyzed. The formation of the network has been followed on model composites containing untreated, oxidized and epoxy sized fibers by Fourier transform infrared microscopy (FTIR-microscopy) and differential scanning calorimetry (DSC). The enhanced interlaminar shear strength (ILSS), found for the composites treated by ultrasound, is attributed to the formation of more homogeneous and dense network, which is especially pronounced for epoxy sized carbon fiber composites.

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Pradhan, Srutarshi, and Bikas K. Chakrabarti. "Introduction to critical phenomena through the fiber bundle model of fracture." European Journal of Physics 40, no. 1 (November 30, 2018): 014004. http://dx.doi.org/10.1088/1361-6404/aaeb53.

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ZHENG, JIAN-FENG, ZI-YOU GAO, XIAO-MEI ZHAO, and BAI-BAI FU. "EXTENDED FIBER BUNDLE MODEL FOR TRAFFIC JAMS ON SCALE-FREE NETWORKS." International Journal of Modern Physics C 19, no. 11 (November 2008): 1727–35. http://dx.doi.org/10.1142/s0129183108013254.

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In this paper, we extend a fiber bundle model to study the propagation of traffic jams on scale-free networks. For the special distributions of traffic handling capacities of the links and traffic load on the nodes, the critical behavior of the jamming transition on scale-free networks is studied analytically. It is found that the links connecting to the nodes with larger degrees are more prone to suffering from traffic jams. This feature is associated with a propagation that follows a precise hierarchical dynamics. Finally, the average failure rate of the networks, which is defined as the fraction of total broken links of the network, is investigated analytically and by simulations in scale-free networks. We mainly find that, when β > γ (β and γ are the scaling exponents of the load distribution and degree distribution, respectively), there is a scaling between the average failure rate of the scale-free networks 1 - G and the network size N, 1 - G ~ N-1, independent of γ.

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Mishnaevsky Jr., Leon. "Hierarchical composites: Analysis of damage evolution based on fiber bundle model." Composites Science and Technology 71, no. 4 (February 28, 2011): 450–60. http://dx.doi.org/10.1016/j.compscitech.2010.12.017.

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Nanjo, K. Z. "A fiber-bundle model for the continuum deformation of brittle material." International Journal of Fracture 204, no. 2 (December 22, 2016): 225–37. http://dx.doi.org/10.1007/s10704-016-0175-x.

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Menezes-Sobrinho, Ismael L., José-Guilherme Moreira, and Américo T. Bernardes. "Brittle-Ductile Transition in Fiber-Reinforced Composites." International Journal of Modern Physics C 09, no. 06 (September 1998): 851–56. http://dx.doi.org/10.1142/s0129183198000789.

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Fiber-reinforced composites are a class of material with increasing industrial applications. Computer simulations have been used in order to understand the microscopic mechanism which can explain their mechanical behavior and several models have been introduced in the last decade. In this paper we introduce a criterion to define the brittle-ductile transition region in unidirectional fiber-reinforced composites. In order to simulate a fiber bundle, a recently introduced stochastic model is used. The results obtained with our criterion are compared with those obtained by using a self-organized criticality (SOC) approach.

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Parvej, M. Subbir, Xinnan Wang, Joseph Fehrenbach, and Chad A. Ulven. "Atomic force microscopy-based nanomechanical characterization of kenaf fiber." Journal of Composite Materials 54, no. 15 (December 3, 2019): 2065–71. http://dx.doi.org/10.1177/0021998319892073.

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Kenaf ( Hibiscus cannabinus L.) fiber is being extensively used as a reinforcement material in composites due to its excellent mechanical properties. To use this fiber more efficiently, it is necessary to understand its mechanical properties at micro/nano meter scale. Despite the evidence of some past studies to determine the elastic modulus of kenaf fiber, most of them were performed on fiber bundles. Bundle-based method to find the elastic moduli has some obvious issues of foreign materials being present, incorrect gauge length, and sample diameter due to void spaces. These issues pose as obvious hurdles to determine the elastic modulus accurately. In this study, individual kenaf micro fiber was used to find elastic modulus in the radial direction. The radial elastic modulus of the fiber was characterized by atomic force microscopy-based nanoindentation. To determine the radial elastic modulus from the force versus sample deformation data, the extended Johnson–Kendall–Roberts model was used which considered adhesion force from the fiber surface. The radial elastic modulus of the kenaf fiber was found to be 2.3 GPa.

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Li, Hongbin, Taiyong Wang, Sanjay Joshi, and Zhiqiang Yu. "The quantitative analysis of tensile strength of additively manufactured continuous carbon fiber reinforced polylactic acid (PLA)." Rapid Prototyping Journal 25, no. 10 (November 11, 2019): 1624–36. http://dx.doi.org/10.1108/rpj-01-2018-0005.

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Purpose Continuous fiber-reinforced thermoplastic composites are being widely used in industry, but the fundamental understanding of their properties is still limited. The purpose of this paper is to quantitatively study the effects of carbon fiber content on the tensile strength of continuous carbon fiber-reinforced polylactic acid (CCFRPLA) fabricated through additive manufacturing using the fused deposition modeling (FDM) process. Design/methodology/approach The strength of these materials is highly dependent on the interface that forms between the continuous fiber and the plastic. A cohesive zone model is proposed as a theoretical means to understand the effect of carbon fiber on the tensile strength properties of CCFRPLA. The interface formation mechanism is explored, and the single fiber pulling-out experiment is implemented to investigate the interface properties of CCFRPLA. The fracture mechanism is also explored by using the cohesive zone model. Findings The interface between carbon fiber and PLA plays the main role in transferring external load to other fibers within CCFRPLA. The proposed model established in this paper quantitatively reveals the effects of continuous carbon fiber on the mechanical properties of CCFRPLA. The experimental results using additively manufacturing CCFRPLA provide validation and explanation of the observations based on the quantitative model that is established based on the micro-interface mechanics. Research limitations/implications The predict model is established imagining that all the fibers and PLA form a perfect interface. While in a practical situation, only the peripheral carbon fibers of the carbon fiber bundle can fully infiltrate with PLA and form a transmission interface. These internal fibers that cannot contract with PLA fully, because of the limit space of the nozzle, will not form an effective interface. Originality/value This paper theoretically reveals the fracture mechanism of CCFRPLA and provides a prediction model to estimate the tensile strength of CCFRPLA with different carbon fiber contents.

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Journal articles on the topic 'Fiber bundle model'

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