scholarly journals True Strength of Ceramic Fiber Bundles: Experiments and Simulations

Materials ◽  
2020 ◽  
Vol 14 (1) ◽  
pp. 64
Author(s):  
Leandro Neckel ◽  
Cristian A. Faller ◽  
Matej Babič ◽  
Oscar R. K. Montedo ◽  
Carlos P. Bergmann ◽  
...  
Keyword(s):  
Fiber Bundle ◽  
Input Parameter ◽  
Load Sharing ◽  
Ceramic Fiber ◽  
Fiber Bundles ◽  
Initial Amount ◽  
Single Filament ◽  
Computational Procedures ◽  
Initial Fiber

A study on the strength of ceramic fiber bundles based on experimental and computational procedures is presented. Tests were performed on single filaments and bundles composed of two fibers with different nominal fiber counts. A method based on fiber rupture signals was developed to estimate the amount of filament rupture during the test. Through this method, the fiber bundle true strength was determined and its variation with the initial fiber count observed. By using different load-sharing models and the single filament data as input parameter, simulations were also developed to verify this behavior. Through different approaches between experiments and simulations, it was noted that the fiber bundle true strength increased with the fiber count. Moreover, a variation of the fibers’ final proportion in the bundles relative to the initial amount was verified in both approaches. Finally, discussions on the influence of different load-sharing models on the results are presented.

scholarly journals Size Distribution of Emitted Energies in Local Load Sharing Fiber Bundles

2021 ◽  
Vol 9 ◽  
Author(s):  
Subhadeep Roy ◽  
Soumyajyoti Biswas
Keyword(s):  
Size Distribution ◽  
Power Law ◽  
Linear Relation ◽  
Fiber Bundle ◽  
Average Energy ◽  
Load Sharing ◽  
Local Load ◽  
Fiber Bundles ◽  
Avalanche Size ◽  
Fiber Bundle Model

We study the local load sharing fiber bundle model and its energy burst statistics. While it is known that the avalanche size distribution of the model is exponential, we numerically show here that the avalanche size (s) and the corresponding average energy burst (〈E〉) in this version of the model have a non-linear relation (〈E〉 ~ sγ). Numerical results indicate that γ ≈ 2.5 universally for different failure threshold distributions. With this numerical observation, it is then possible to show that the energy burst distribution is a power law, with a universal exponent value of −(γ + 1).

Strengths of ceramic fiber bundles: Theory and practice

2017 ◽  
Vol 100 (11) ◽  
pp. 5306-5317 ◽  
Author(s):  
Evan B. Callaway ◽  
Frank W. Zok
Keyword(s):  
Theory And Practice ◽  
Ceramic Fiber ◽  
Fiber Bundles

scholarly journals Number of fiber bundles in the fetal anterior talofibular ligament

2021 ◽  
Author(s):  
Mutsuaki Edama ◽  
Tomoya Takabayashi ◽  
Hirotake Yokota ◽  
Ryo Hirabayashi ◽  
Chie Sekine ◽  
...  
Keyword(s):  
Fiber Bundle ◽  
Fiber Bundles ◽  
Anterior Talofibular Ligament ◽  
Type I ◽  
Type Ii ◽  
Crown Rump Length ◽  
Type Iii ◽  
The Difference ◽  
And Inversion

Abstract Background For the anterior talofibular ligament (ATFL), a three-fiber bundle has recently been suggested to be weaker than a single or double fiber bundle in terms of ankle plantarflexion and inversion braking function. However, the studies leading to those results all used elderly specimens. Whether the difference in fiber bundles is a congenital or an acquired morphology is important when considering methods to prevent ATFL damage. The purpose of this study was to classify the number of fiber bundles in the ATFL of fetuses. Methods This study was conducted using 30 legs from 15 Japanese fetuses (mean weight, 1764.6 ± 616.9 g; mean crown-rump length, 283.5 ± 38.7 mm; 8 males, 7 females). The ATFL was then classified by the number of fiber bundles: Type I, one fiber bundle; Type II, two fiber bundles; and Type III, three fiber bundles. Results Ligament type was Type I in 5 legs (16.7%), Type II in 21 legs (70%), and Type III in 4 legs (13.3%). Conclusions The present results suggest that the three fiber bundles of the structure of the ATFL may be an innate structure.

scholarly journals Dispersive semiflows on fiber bundles

2017 ◽  
Vol 37 (2) ◽  
pp. 85-99
Author(s):  
Josiney A. Souza ◽  
Hélio V. M. Tozatti
Keyword(s):  
Periodic Point ◽  
Fiber Bundle ◽  
Vector Bundles ◽  
Base Space ◽  
Total Space ◽  
Fiber Bundles ◽  
Almost Periodic ◽  
Special Result ◽  
Almost Periodic Point

This paper studies dispersiveness of semiflows on fiber bundles. The main result says that a right invariant semiflow on a fiber bundle is dispersive on the base space if and only if there is no almost periodic point and the semiflow is dispersive on the total space. A special result states that linear semiflows on vector bundles are not dispersive.

scholarly journals Local load-sharing fiber bundle model in higher dimensions

2015 ◽  
Vol 92 (2) ◽  
Author(s):  
Santanu Sinha ◽  
Jonas T. Kjellstadli ◽  
Alex Hansen
Keyword(s):  
Fiber Bundle ◽  
Load Sharing ◽  
Higher Dimensions ◽  
Local Load ◽  
Fiber Bundle Model

The Effect of the Long Fiber Bundles Bulk Density on Filtration Efficiency

2013 ◽  
Vol 838-841 ◽  
pp. 2648-2653
Author(s):  
Zhong Bin Liu ◽  
Huan Wang ◽  
Juan Tang
Keyword(s):  
Bulk Density ◽  
Fiber Bundle ◽  
Filtration Efficiency ◽  
Fiber Bundles ◽  
Experimental Equipment ◽  
Filtration Cycle ◽  
Fluid Analysis ◽  
High Efficient ◽  
Comprehensive Performance ◽  
Result Show

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.

Visualization of a pillar-shaped fiber bundle in a model needle-punched nonwoven fabric using X-ray micro-computed tomography

2016 ◽  
Vol 87 (11) ◽  
pp. 1387-1393 ◽  
Author(s):  
Tatsuya Ishikawa ◽  
KyoungHou Kim ◽  
Yutaka Ohkoshi
Keyword(s):  
Fiber Bundle ◽  
Three Dimensional ◽  
Nonwoven Fabric ◽  
Fiber Bundles ◽  
Dimensional Structure ◽  
Micro Computed Tomography ◽  
X Ray ◽  
Needle Punching ◽  
Pet Fibers ◽  
Polyethylene Fibers

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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