• 제목/요약/키워드: Percolation Theory

검색결과 34건 처리시간 0.026초

카본블랙 충진 Polyethylene Matrix Composites의 유전 특성 (Dielectric Properties of Carbon Black-Filled Polyethylene Matrix Composites)

  • 신순기
    • 한국재료학회지
    • /
    • 제21권4호
    • /
    • pp.196-201
    • /
    • 2011
  • It is known that the relative dielectric constant of insulating polyethylene matrix composites with conducting materials (such as carbon black and metal powder) increases as the conducting material content increases below the percolation threshold. Below the percolation threshold, dielectric properties show an ohmic behavior and their value is almost the same as that of the matrix. The change is very small, but its origin is not clear. In this paper, the dielectric properties of carbon black-filled polyethylene matrix composites are studied based on the effect medium approximation theory. Although there is a significant amount of literature on the calculation based on the theory of changing the parameters, an overall discussion taking into account the theory is required in order to explain the dielectric properties of the composites. Changes of dielectric properties and the temperature dependence of dielectric properties of the composites made of carbon particle and polyethylene below the percolation threshold for the volume fraction of carbon black have been discussed based on the theory. Above the percolation threshold, the composites are satisfied with the universal law of conductivity, whereas below the percolation threshold, they give the critical exponent of s = 1 for dielectric constant. The rate at which the percentages of both the dielectric constant and the dielectric loss factor for temperature increases with more volume fraction below the percolation threshold.

Fundamentals of Percolation Phenomenon with Emphasis on Its Concept in Disordered Electrochemical Systems

  • Jung Kyu-Nam;Pyun Su-Il
    • 전기화학회지
    • /
    • 제7권3호
    • /
    • pp.155-162
    • /
    • 2004
  • This article covers the fundamentals of percolation phenomenon giving emphasis to the percolation concept involved in disordered electrochemical systems. After a brief discourse on the basic concepts of percolation theory, the geometrical properties and fractality of percolation clusters were presented. Then, anomalous behaviours of diffusion in percolation clusters were explained in terms of the fractal structures of the infinite percolation clusters. Finally, the conductivity-related properties of composite ionic materials were shortly discussed on the basis of percolation theory from practical points of view.

Percolation 이론을 이용한 내화 고강도 콘크리트의 내부 섬유 연결성 파악 (Characterization of Fiber Connectivity in Fire-resistant High Strength Concrete using Percolation Theory)

  • 신영섭;한동석
    • 한국방재학회 논문집
    • /
    • 제11권1호
    • /
    • pp.1-6
    • /
    • 2011
  • 고강도 콘크리트의 폭렬현상을 억제하여 내화 성능을 개선하기 위한 방법으로 고온에서 수증기가 콘크리트 표면으로 이동할 수 있도록 경로를 제공하여 주는 섬유를 혼입하는 방안이 있다. 섬유를 혼입하여 콘크리트의 폭렬을 억제하는 방법은 고온에 의해 콘크리트 내부에서 용융되는 섬유에 의해 만들어지는 통로가 서로 연결되어 고압의 수증기를 콘크리트 외부로 이동시킬 수 있을 때 효과가 있다. 수증기가 배출될 통로를 형성하는 섬유의 연결성에 대한 percolation 이론을 섬유혼입 고강도 콘크리트의 내화실험 결과에 적용하였다. 본 연구에서는 percolation 이론과 섬유혼입 고강도 콘크리트의 폭렬 발생의 연관성을 분석하였고, 섬유혼입 고강도 콘크리트 가상 시편을 이용하여 내부 섬유 입자가 서로 연결되어 있는 것을 입체적으로 구현하고 일정 부피비의 섬유가 혼입되었을 때 수증기 배출 통로가 확보되는 것을 확인하였다.

Percolation Theory-Based Exposure-Path Prevention for 3D-Wireless Sensor Networks Coverage

  • Liu, Xiaoshuang;Kang, Guixia;Zhang, Ningbo
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • 제9권1호
    • /
    • pp.126-148
    • /
    • 2015
  • Different from the existing works on coverage problems in wireless sensor networks (WSNs), this paper considers the exposure-path prevention problem by using the percolation theory in three dimensional (3D) WSNs, which can be implemented in intruder detecting applications. In this paper, to avoid the loose bounds of critical density, a bond percolation-based scheme is proposed to put the exposure-path problem into a 3D uniform lattice. Within this scheme, the tighter bonds of critical density for omnidirectional and directional sensor networks under random sensor deployment-a 3D Poisson process are derived. Extensive simulation results show that our scheme generates tighter bounds of critical density with no exposure path in 3D WSNs.

Using Practice Context Models to Knowledge Management in Proof-of-Concept Activities: A Contribution of Knowledge Networks and Percolation Theory

  • Neto, Antonio Jose Rodrigues;Borges, Maria Manuel;Roque, Licinio
    • Journal of Information Science Theory and Practice
    • /
    • 제9권1호
    • /
    • pp.1-23
    • /
    • 2021
  • This study introduces novel research using Practice Context Models supported by Knowledge Networks and Percolation Theory with the aim to contribute to knowledge management in Proof-of-Concept (PoC) activities. The authors envision this proposal as a potential instrument to identify network structures based on a percolation (propagation) threshold and to analyze the importance of nodes (e.g., practitioners, practices, competencies, movements, and scenarios) during the percolation of knowledge in PoC activities. After thirty months immersed in the natural PoC habitat, acting as observers and practitioners, and supported by an ethnographic exercise and a designer-research mindset, the authors identified the production of meaning in PoC activities occurring in a hermeneutic circle characterized by the presence of several knowledge networks; thus, discovering the 'natural knowledge' in PoC as a spectrum of cognitive development spread throughout its network, as each node could produce and disseminate certain knowledge that flows and influences other nodes. Therefore, this research presents the use of Practice Context Models 'connected' to Knowledge Networks and Percolation Theory as a potential and feasible proposal to be built using the attribution of values (weights) to the nodes (e.g., practitioners, practices, competencies, movements, scenarios, and also knowledge) in the context of PoC with the aim to allow the players (e.g., PoC practitioners) to have more flexibility in building alliances with other players (new nodes); that is, focusing on those nodes with higher value (focus on quality) in collaboration networks, i.e., alliances (connections) with the aim to contribute to knowledge management in the context of PoC.

퍼콜레이션 이론에 기초한 복합재료의 복소 유전율 모델에 대한 연구 (Study on the numerical model of complex permittivity of composites based on the percolation theory)

  • 김진봉;이상관;김천곤
    • Composites Research
    • /
    • 제22권3호
    • /
    • pp.44-54
    • /
    • 2009
  • 본 논문에서는 퍼콜레이션 이론적 관점에 기초한 복소 유전율의 수치모델을 제시하고, 전기 전도성이 뛰어난 카본 블랙을 혼합한 유리섬유/에폭시 복합재료 적층판의 복소 유전율을 이용하여 이 깃을 검증하였다. 제시된 모델은 카본 블랙의 함유율이 퍼콜레이션 임계함유율 보다 높고, 주파수가 충분히 높아서 복합재료의 교류 전기전도도가 주파수에 비례하는 구간에서의 복소 유전율을 모사한다. 복합재료의 복소 유전율은 벡터회로망분석기와 7 mm 동축관을 이용하여 $0.5\;GHz\;{\sim}18\;GHz$ 대역에서 측정되었다. 제시된 모델은 퍼콜레이션 이론에서 유용하게 사용되는 축척(눈금잡이) 법칙의 함수형태와 실험을 통하여 구한 상수들로 구성되어 있으며, 복소 유전율을 주파수와 가본 블랙의 함유율의 함수로 나타내었다. 제시된 모델은 복소 유전율을 측정결과와의 비교를 통하여 검증되었다.

전도성 니켈분말-에폭시수지 복합체의 전기적 특성 (Electrical Properties of Conductive Nickel Powder-Epoxy Resin Composites)

  • 오대희;임덕점;이정은;박영희;오승민
    • 한국응용과학기술학회지
    • /
    • 제31권2호
    • /
    • pp.329-336
    • /
    • 2014
  • The conductive polymer composites have attracted considerable attention in the field of industry due to their electrical properties. To understand electrical properties of the composites, their volume specific resistance was measured. Electrical conductivity results showed percolation phenomena. Percolation theories are frequently applied to describe the insulator-to-conductor transitions in the composites composed of conductive filler and insulating matrix. It was found that the percolation threshold strongly depends on the aspect ratio of filler particles. The critical concentration of percolation formed is defined as the percolation threshold. The purpose of this study was to examine electrical properties of the epoxy resins filled with nickel. The sample was prepared using vehicle such as epoxy resin replenished with nickel powder, and the evaluation on their practical use was performed in order to apply them to electric and electronic industry as well as general field. The volume specific resistance of epoxy resin composites was 4.666~13.074 when using nickel powder. Weight loss of the conductive composites took place at $350^{\circ}C{\sim}470^{\circ}C$.

마이크로파에서의 카본 블랙/에폭시 복합재료의 유전율 모사 (Simulation of Complex Permittivity of Carbon Black/Epoxy Composites at Microwave Frequency Band)

  • 김진봉;김태욱;김천곤
    • 한국복합재료학회:학술대회논문집
    • /
    • 한국복합재료학회 2004년도 춘계학술발표대회 논문집
    • /
    • pp.155-160
    • /
    • 2004
  • 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 $1 GHz\~18GHz$. The results show that the complex permittivities of composites depend strongly on the natures and concentrations of the carbon black dispersion. The frequency spectrums of dielectric constants and ac conductivities of composites show the good conformities with descriptions of the percolation theory. The carbon black concentration dependencies do not have conformities with the descriptions of percolation theory and there is no peculiar concentration like percolation threshold, on that concentration, the conductivity of composite jumps up. 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.

  • PDF

통계적 확산이론에 기초한 다공질체의 유동관망 유동해석 기법 개발 (Development of a Pipe Network Fluid-Flow Modelling Technique for Porous Media based on Statistical Percolation Theory)

  • 신휴성
    • 지질공학
    • /
    • 제23권4호
    • /
    • pp.447-455
    • /
    • 2013
  • 본 연구에서는 다공질 지반체내의 투수계수를 계산하기 위하여 정방형의 배열형태를 갖는 유동관망(pipe network) 유동해석 모델을 개발하였다. 본 유동관망을 통한 유체의 흐름 메커니즘은 통계적 침투이론(percolation theory)에 기초하여 정의된다(Stauffer and Aharony, 1994). 여기서, 개별 유동관의 직경들이 주어진 다공질 매질의 공극률과 공극크기 분포특성을 기초로 하여 통계적으로 지정됨으로 계산된 유체흐름은 불균일한 채널 유동 형태로 나타난다. 본 유동해석에서는 유동관망 모델의 한쪽 경계면에 가압된 유체가 투입되고 다른 측면 경계면들은 흐름을 억제하는 경계조건을 두어 한 방향으로 유동관망을 통해 유체의 흐름을 유도하여 모델링된다. 이때, 흐름을 허용할지를 정의하는 확산조건(percolation condition)이 각 유동관에 부여되며, 이는 각 유동 경로의 직경과 재료면 특성을 기초로 계산된 삼투압(capillary pressure) 수준에 의해 정의된다. 유체가 유입되는 면의 수압에 대해 전체 유동관망 모델 내의 수압 분포가 평형을 이루면 유출되는 면의 수압이 일정해 지며, 유입면의 수압과 계산된 유출면의 수압 및 유동량을 Darcy 방정식에 적용하면 유동관망 모델로 모사된 다공질 매질의 투수계수를 얻어 낼 수 있다. 본 연구에서는, 민감할 것으로 예상된 유동 격자망의 규모의 투수계수 결과값에 대한 민감도를 검토하였으며, 실제 석유개발 현장에서 수집된 시추코어에 대해 측정된 투수계수값과 제안 네트워크 모델을 이용한 계산값과 비교하여 합리적인 범위 내에서 잘 부합됨을 보였다.

Percolative Electrical Conductivity of Platy Alumina/Few-layer Graphene Multilayered Composites

  • Choi, Ki-Beom;Kim, Jong-Young;Lee, Sung-Min;Lee, Kyu-Hyoung;Yoon, Dae Ho
    • 한국세라믹학회지
    • /
    • 제54권3호
    • /
    • pp.257-260
    • /
    • 2017
  • In this work, we present a facile one-pot synthesis of a multilayer-structured platy alumina/few-layer graphene nanocomposite by planetary milling and hot pressing. The sintered composites have electrical conductivity exhibiting percolation behavior (threshold ~ 0.75 vol.%), which is much lower than graphene oxide/ceramic composites (> 3.0 vol.%). The conductivity data are well-described by the percolation theory, and the fitted exponent values are estimated to be 1.65 and 0.93 for t and q, respectively. The t and q values show conduction mechanisms intermediate between 2D- and 3D, which originates from quantum tunneling between nearest neighbored graphenes.