• Title/Summary/Keyword: Percolation Theory

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Effect of Random Node Distribution on the Throughput in Infrastructure-Supported Erasure Networks (인프라구조 도움을 받는 소거 네트워크에서 용량에 대한 랜덤 노드 분포의 효과)

  • Shin, Won-Yong
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.20 no.5
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    • pp.911-916
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    • 2016
  • The nearest-neighbor multihop routing with/without infrastructure support is known to achieve the optimal capacity scaling in a large packet-erasure network in which multiple wireless nodes and relay stations are regularly placed and packets are erased with a certain probability. In this paper, a throughput scaling law is shown for an infrastructure-supported erasure network where wireless nodes are randomly distributed, which is a more feasible scenario. We use an exponential decay model to suitably model an erasure probability. To achieve high throughput in hybrid random erasure networks, the multihop routing via highway using the percolation theory is proposed and the corresponding throughput scaling is derived. As a main result, the proposed percolation highway based routing scheme achieves the same throughput scaling as the nearest-neighbor multihop case in hybrid regular erasure networks. That is, it is shown that no performance loss occurs even when nodes are randomly distributed.

Dispersity and Electro-Conductivity of PU Grafted MWCNT/PU Composite via Simple Blending Method (블렌딩을 이용한 폴리우레탄 그라프트 다중벽 탄소나노튜브/폴리우레탄 복합체의 전기 전도성 및 분산 특성)

  • Yun, Sung-Jin;Im, Hyun-Gu;Kim, Joo-Heon
    • Applied Chemistry for Engineering
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    • v.21 no.5
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    • pp.500-504
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    • 2010
  • The PU-g-MWNTs/PU film was synthesized by simple blending method to fabricate composites which have excellent mechanical and electrical properties. PU-g-MWNTs based composite revealed much enhanced dispersity than pristine MWNTs composite because of interfacial interaction related with interfacial compatibility between polymer matrix and PU on the MWNTs surface. The electro-conductivity of composite was measured as a function of PU-g-MWNTs concentration. The results were correlated with percolation threshold theory. As a result, the critical concentration and exponent of electro-conductivity behavior was equal to 0.78 wt% and 0.945.

Low-Cost Flexible Strain Sensor Based on Thick CVD Graphene

  • Chen, Bailiang;Liu, Ying;Wang, Guishan;Cheng, Xianzhe;Liu, Guanjun;Qiu, Jing;Lv, Kehong
    • Nano
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    • v.13 no.11
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    • pp.1850126.1-1850126.10
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    • 2018
  • Flexible strain sensors, as the core member of the family of smart electronic devices, along with reasonable sensing range and sensitivity plus low cost, have rose a huge consumer market and also immense interests in fundamental studies and technological applications, especially in the field of biomimetic robots movement detection and human health condition monitoring. In this paper, we propose a new flexible strain sensor based on thick CVD graphene film and its low-cost fabrication strategy by using the commercial adhesive tape as flexible substrate. The tensile tests in a strain range of ~30% were implemented, and a gage factor of 30 was achieved under high strain condition. The optical microscopic observation with different strains showed the evolution of cracks in graphene film. Together with commonly used platelet overlap theory and percolation network theory for sensor resistance modeling, we established an overlap destructive resistance model to analyze the sensing mechanism of our devices, which fitted the experimental data very well. The finding of difference of fitting parameters in small and large strain ranges revealed the multiple stage feature of graphene crack evolution. The resistance fallback phenomenon due to the viscoelasticity of flexible substrate was analyzed. Our flexible strain sensor with low cost and simple fabrication process exhibits great potential for commercial applications.

Effects of Sintering Temperature on the Electrical Conductivities of the Y2O3-Carbon Composites (Y2O3-카본 복합체의 전기전도성에 미치는 소결온도의 영향)

  • Choi, Kwan-Young;Oh, Yoon-Suk;Kim, Sung-Won;Kim, Hyung-Sun;Park, Chong-Hun;Lee, Sung-Min
    • Journal of the Korean Ceramic Society
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    • v.49 no.2
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    • pp.173-178
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    • 2012
  • The $Y_2O_3$ ceramics have been widely used as plasma resistant materials in the semiconductor industry. In this study, composites made of plasma resistant $Y_2O_3$ and electrically conductive carbon have been produced. The electrical properties of this composite were measured with respect to the size, volume fraction of the conductive carbon phase, and sintering temperature. When micro-sized carbon was used, the composites were insulating up to 5 wt% addition of the carbon. However, when nano-sized carbon of around 60 ~100 nm was used, the composites became conductive over threshold volume fraction of carbon, which increased with increasing sintering temperature. This behavior of electrical conductivity of the composites was discussed in terms of the percolation theory. The percolation threshold of the conductivity seemed to be affected by the grain growth and coalescences of dispersed conductive carbon phases with grain growth of matrix $Y_2O_3$.

Thickness-dependent Film Resistance of Thin Porous Film (얇은 다공 구조 박막에서의 두께에 따른 박막 저항 변화)

  • Song, A-Ree;Kim, Chul-Sung;Kouh, Tae-Joon
    • Journal of the Korean Magnetics Society
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    • v.22 no.1
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    • pp.6-10
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    • 2012
  • We have observed the change in the film resistance of thin nickel film up to 13 nm, which is deposited on a porous anodic alumina substrate, prepared by two-step anodization technique under phosphoric acid. The resulting film grows as a porous film, following the pore structure on the surface of the alumina substrate, and the value of the resistance lies above $150k{\Omega}$ within the range of thickness studied here, decreasing very slowly with the film thickness. The observed resistance value is much higher than the reported value of a uniform film at the same thickness. Since the observed value of the surface coverage with the pores is smaller than the critical value, expected from the percolation theory, the pore structure limits the formation of conduction channel across the film. In addition, by comparing to the typical model of thickness-dependent resistivity, we expect that the scattering at the pore edge further increases the film resistance.

A Study on the Simulation of Complex Permittivities of Carbon Black/Epoxy Composites at a High Frequency Band (고주파에서의 카본 블랙/에폭시 복합재료 복소유전율 모사에 대한 연구)

  • Kim Tae-Wook;Kim Chun-Gon;Kim Jin-Bong
    • Composites Research
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    • v.18 no.3
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    • pp.14-20
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    • 2005
  • This paper presents a study on the permittivities of the carbon black/epoxy composite at microwave frequency. The measurements were performed at the frequency band of $1\;GHz\~18\;GHz$. The experimental data show that the complex permittivities of composites depend strongly on the natures and concentrations of the carbon black dispersion. The frequency characteristics of dielectric constants and ac conductivities of composites show the good conformity with descriptions of the percolation theory, satisfying the general scaling relation. The measuring frequency band is over the critical frequency, below that the ac conductivities of composites are constant to the frequency. The values of dielectric constants and ac conductivities have consistent relationships with the carbon black concentration. The A new scheme, that is a branch of Lichtenecker-Rother formula, is proposed to obtain a mixing law to describe the complex permittivities of the composites as function frequency and concentration of carbon black.

Modeling of the Setting Characteristics of Early-age Concrete (초기재령 콘크리트의 응결특성 모델링)

  • 조호진;송하원;변근주
    • Proceedings of the Korea Concrete Institute Conference
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    • 2002.10a
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    • pp.391-396
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    • 2002
  • The so called setting is defined as the onset of rigidity in fresh concrete. In the analysis of the early-age concrete behavior, we consider fresh concrete as a structural element immediately after mixing. But for the activation of real structural behavior of fresh concrete, it takes some time after the beginning of hydration reaction. So, the very early age deformations due to hydration heat and shrinkage which occur before the setting do not produce restraint stresses. In this paper, we propose a setting characteristic model based on the so called percolation theory. From the analysis using the model, the influence of curing temperature is investigated and analytical results are compared with experimental results. From the comparison, the validity of proposed model is verified. This model is also applied to evaluate stress development in a temperature-stress test machine (TSTM) specimen and then the effect of setting time on the stress development is discussed.

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Modeling of Setting Behavior in Fresh Concrete considering Microstructure Formation

  • Cho, Ho-Jin;Song, Ha-Won;Byun, Keun-Joo
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.490-493
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    • 2004
  • In the analysis of early-age concrete behavior, the fresh concrete is considered as a structural element immediately after mixing. But for the activation of real structural behavior in the fresh concrete, the so-called setting time is necessary a few hours after the beginning of hydration reaction. In this paper, analysis on the setting behavior is carried out by proposing an analytical model based on the percolation theory as well as the expanding cluster model by defining the setting as a microstructure formation in fresh concrete. An experimental investigation is also carried out to show the influences of curing temperature, mineral admixtures and chemical admixture on setting behavior of fresh concrete. Finally, the analytical results using proposed model are compared with the experimental results for the sake of verification.

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Classification and visualization of primary trabecular bone in lumbar vertebrae

  • Basaruddin, Khairul Salleh;Omori, Junya;Takano, Naoki;Nakano, Takayoshi
    • Advances in biomechanics and applications
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    • v.1 no.2
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    • pp.111-126
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    • 2014
  • The microarchitecture of trabecular bone plays a significant role in mechanical strength due to its load-bearing capability. However, the complexity of trabecular microarchitecture hinders the evaluation of its morphological characteristics. We therefore propose a new classification method based on static multiscale theory and dynamic finite element method (FEM) analysis to visualize a three-dimensional (3D) trabecular network for investigating the influence of trabecular microarchitecture on load-bearing capability. This method is applied to human vertebral trabecular bone images obtained by micro-computed tomography (micro-CT) through which primary trabecular bone is successfully visualized and extracted from a highly complicated microarchitecture. The morphological features were then analyzed by viewing the percolation of load pathways in the primary trabecular bone by using the stress wave propagation method analyzed under impact loading. We demonstrate that the present method is effective for describing the morphology of trabecular bone and has the potential for morphometric measurement applications.

Correlatin between the Microstructure and the Electrical Conductivity of SOFC anode, Ni-YSZ : I. Microstructure Analysis (SOFC 음극용 Ni-YSZ 복합체의 미세구조와 전기적 물성간의 상관관계 : I. 미세구조 분석)

  • Moon, Hwan;Lee, Hae-Weon;Lee, Jong-Ho;Yoon, Ki-Hyun
    • Journal of the Korean Ceramic Society
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    • v.37 no.5
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    • pp.479-490
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    • 2000
  • The microstructure of Ni-YSZ composite as an anode of SOFC was investigated as a function of Ni content(10-70 vol%) in order to examine the correlation between microstructural-and electrical property. Image analysis based on quantitative microscopy theory was performed to quantify the microstructural property. We could get the informations about the size and distribution, contiguity and interfacial area of each phase or between the phases from the image analysis. According to the image analysis, contiguity between the same phae was mainly dependent on the amount of the phase while the contiguity between different phases was additionally influenced by the microstructural changes, especailly by the coarsening of the Ni phase. The whole length of pores perimeter was increased as Ni content increased, which indicated the overall microstructural evolution was mostly related with the coarsening of Ni phase. Ni-Ni interfacial area was also gradually increased as Ni content increased but controlled by pore phase at low Ni content region and by YSZ phase at intermediate Ni content region. These quantified microstructural properties were used to characterize the electrical properties of Ni-YSZ composite.

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