• Title/Summary/Keyword: 사면체 요소

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A Study on the Extraction of Parasitic Inductance for Multiple-level Interconnect Structures (다층배선 인터커넥트 구조의 기생 인덕턴스 추출 연구)

  • Yoon, Suk-In;Won, Tae-Young
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.39 no.7
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    • pp.16-25
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    • 2002
  • This paper presents a methodology and application for extracting parasitic inductances in a multi-level interconnect semiconductor structure by a numerical technique. In order to calculate the parasitic inductances, the distrubution of electric potential and current density in the metal lines are calculated by finite element method (FEM). Thereafter, the magneto-static energy caused by the current density in metal lines was calculated. The result of simulation is compared with the result of Grover equation about analytic simple structures, and 4 bit ROM array with a dimension of $13{\times}10.25{\times}8.25{\mu}m^3$ was simulated to extract the parasitic inductnaces. In this calculation, 6,358 nodes with 31,941 tetrahedra were used in ULTRA 10 workstation. The total CPU time for the simulation was about 150 seconds, while the memory size of 20 MB was required.

A Study on the Extraction of Parasitic Capacitance for Multiple-level Interconnect Structures (다층배선 인터커넥트 구조의 기생 캐패시턴스 추출 연구)

  • 윤석인;원태영
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.36D no.5
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    • pp.44-53
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    • 1999
  • This paper are reported a methodology and application for extracting parasitic capacitances in a multi-level interconnect semiconductor structure by a numerical technique. To calculate the parasitic capacitances between the interconnect lines, we employed finite element method (FEM) and calculated the distrubution of electric potential in the inter-metal layer dielecric(ILD) by solving the Laplace equation. The three-dimensional multi-level interconnect structure is generated directly from two-dimensional mask layout data by specifying process sequences and dimension. An exemplary structure comprising two metal lines with a dimension of 8.0$\times$8.0$\times$5.0$\mu\textrm{m}^3/TEX>, which is embedded in three dielectric layer, was simulated to extract the parasitic capacitances. In this calculation, 1960 nodes with 8892 tetrahedra were used in ULTRA SPARC 1 workstation. The total CPU time for the simulation was 28 seconds, while the memory size of 4.4MB was required.

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Characteristics and Relationships of Teachers' PCK Components in charge of Science Gifted Middle School Students (중학교 과학영재 담당교사의 PCK 요소의 특징과 관련성)

  • Kim, Sun-Kyoung;Min, Hee-Jung;Bang, Eun-Jung;Paik, Seoung-Hey
    • Journal of Gifted/Talented Education
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    • v.21 no.4
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    • pp.801-828
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    • 2011
  • In this study, we analyzed the characteristics of Pedagogical Content knowledge(PCK)'s components through actual course of teachers of science gifted students in the middle school. For this study, four middle school science teachers of gifted students belonging to the gifted education professional organizations in a metropolis were selected, each of them was physics, chemistry, biology, and earth science teacher. Two of them were full-time teachers to teach only gifted students and two were part-time teachers who had taught general students in ordinary time and specially had taught the gifted students once a week. Qualitative data were collected through classroom observations, interviews, and documents. As a result, some unique characteristics of PCK's components were identified. The teachers' orientations to teaching science were closely correlated with PCK's components. The teachers' knowledges of science curriculum were different individually. But the decisions about type of teaching(acceleration or enrichment) were connected with the objectives of gifted education and lesson objectives. Also, the teachers' knowledges of science curriculum were influenced by the knowledge of students' understanding. Teachers used different instructional strategies according to the knowledge of science curriculum and the knowledge of students' understanding. We found that PCK's components were so closely connected and could show the direction of relationships among those PCK's components. We suggested teachers' PCK model which was named "Tetrahedron Model of PCK", to explain the characteristics and relationships of PCK's components.

Hydro-Mechanical Modeling of Fracture Opening and Slip using Grain-Based Distinct Element Model: DECOVALEX-2023 Task G (Benchmark Simulation) (입자기반 개별요소모델을 이용한 암석 균열의 수리역학 거동해석: 국제공동연구 DECOVALEX-2023 Task G (Benchmark Simulation))

  • park, Jung-Wook;Park, Chan-Hee;Lee, Changsoo
    • Tunnel and Underground Space
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    • v.31 no.4
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    • pp.270-288
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    • 2021
  • We proposed a numerical method to simulate the hydro-mechanical behavior of rock fracture using a grain-based distinct element model (GBDEM) in the paper. As a part of DECOVALEX-2023 Task G, we verified the method via benchmarks with analytical solutions. DECOVALEX-2023 Task G aims to develop a numerical method to estimate the coupled thermo-hydro-mechanical processes within the crystalline rock fracture network. We represented the rock sample as a group of tetrahedral grains and calculated the interaction of the grains and their interfaces using 3DEC. The micro-parameters of the grains and interfaces were determined by a new methodology based on an equivalent continuum approach. In benchmark modeling, a single fracture embedded in the rock was examined for the effects of fracture inclination and roughness, the boundary stress condition and the applied pressure. The simulation results showed that the developed numerical model reasonably reproduced the fracture slip induced by boundary stress condition, the fracture opening induced by fluid injection, the stress distribution variation with fracture inclination, and the fracture roughness effect. In addition, the fracture displacements associated with the opening and slip showed good agreement with the analytical solutions. We expect the numerical model to be enhanced by continuing collaboration and interaction with other research teams of DECOVALEX-2023 Task G and validated in further study experiments.

Comparison of finite element analysis of the closing patterns between first and second premolar extraction spaces (상악 제1 및 제2소구치의 발치공간 폐쇄기전에 대한 3차원 유한요소 해석의 비교 연구)

  • Koh, Shin-Ae;Im, Won-Hee;Park, Sun-Hyung;Chun, Youn-Sic
    • The korean journal of orthodontics
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    • v.37 no.6
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    • pp.407-420
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    • 2007
  • The aim of this study was to compare the differences in closing extraction spaces between maxillary first premolar and second premolar extractions using 3-dimensional finite element analysis (FEA). Methods: Maxillary artificial teeth were selected according to Wheeler's dental anatomy. The size and shape of each tooth, bracket and archwire were made from captured real images by a 3D laser scanner and FEA was performed with a 10-noded tetrahedron. A $10^{\circ}$ gable bend was placed behind the bull loop on a $0.017"{\times}0.025"$ archwire. The extraction space was then closed through 12 repeated activating processes for each 2mm of space. Results and Conclusions: The study demonstrated that the retraction of anterior teeth was less for the second premolar extraction than for the first premolar extraction. The anterior teeth showed a controlled tipping movement with slight extrusion, and the posterior teeth showed a mesial-in rotational movement. For the second premolar extraction, buccal movement of posterior teeth was highly increased.

Slope Stability Analysis Using Continuum/FEM Approaches (유한요소법과 연속체역학을 이용한 사면안정해석)

  • 서영교
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.135-142
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    • 2000
  • A framework alternative to that of classical slope stability analysis is developed, wherein the soil mass is treated as a continuum and in situ soil stresses and strengths are computed accurately using inelastic finite element methods with general constitutive models. Within this framework, two alternative methods of stability analysis are presented. In the first, the strength characteristics of the soil mass are held constant, and the gravitational loading on the slope system is increased until failure is initiated by well-defined mechanisms. In the second approach, the gravity loading on the slope system is held constant, while the strength parameters of the slope mass are gradually decreased until well-defined failure mechanisms developed. Details on the applying both of the proposed methods, and comparisons of their characteristics on a number of solved example problems are presented.

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Local Environments of Li in the Interlayer of Clay Minerals at Room and High Temperatures (상온 및 고온에서 점토광물 층간의 Li 환경)

  • Kim, Yeong-Kyoo;Lee, Ji-Eun
    • Journal of the Mineralogical Society of Korea
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    • v.20 no.3
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    • pp.193-201
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    • 2007
  • We used $^6Li$ and $^7Li$ MAS NMR to investigate the fate and local environments of Li in the interlayer of clay minerals such as hectorite, Woming-montmorillonite, beidellite, and lepidollite at room and high ($250^{\circ}C$) temperature. Although $^6Li$ NMR spectra show narrower peaks than those of $^7Li$ NMR, S/N ratio is low and there are no obvious differences in chemical shifts suggesting that it is difficult to apply $^6Li$ NMR to have information on the local environments of Li in the clay interlayers. $^7Li$ NMR spectra, however, show changes in the peak width and quadrupole patterns providing information on the local environments of Li in the interlayer even though changes in the chemical shift are not observed. In montmorillonite, two different local environments of Li are observed; one has a narrow peak with typical quadrupole patterns whereas another has a broad peak without those of the patterns. Changes in the peak width is also observed from broad to narrow in the $^7Li$ NMR spectra for beidellite but not for hectorite at high temperature. Our results suggest that the peak width change in the broad peak is attributed to the coordination changes in the water molecules around Li which is tightly bonded on the basal oxygen of Si tetrahedra as inner-sphere complexes. The narrow peak in montmorillnoite can be assigned to the Li bended as outer-sphere complexes.

A Study on the Extraction of Cell Capacitance and Parasitic Capacitance for DRAM Cell Structures (DRAM 셀 구조의 셀 캐패시턴스 및 기생 캐패시턴스 추출 연구)

  • Yoon, Suk-In;Kwon, Oh-Seob;Won, Tae-Young
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.7
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    • pp.7-16
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    • 2000
  • This paper reports a methodology and its application for extracting cell capacitances and parasitic capacitances in a stacked DRAM cell structure by a numerical technique. To calculate the cell and parasitic capacitances, we employed finite element method (FEM), The three-dimensional DRAM cell structure is generated by solid modeling based on two-dimensional mask layout and transfer data. To obtain transfer data for generating three-dimensional simulation structure, topography simulation is performed. In this calculation, an exemplary structure comprising 4 cell capacitors with a dimension of $2.25{\times}1.75{\times}3.45{\mu}m^3$, 70,078 nodes with 395,064 tetrahedra were used in ULTRA SPARC 10 workstation. The total CPU time for the simulation was about 25 minutes, while the memory size of 201MB was required. The calculated cell capacitance is 24.34fF per cell, and the influential parasitic capacitances in a stacked DRAM cell are investigated.

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Parametric Modeling and Numerical Simulation of 3-D Woven Materials (3차원 엮임 재료의 파라메트릭 모델링 및 수치적 재료 특성 분석)

  • Sim, Kichan;Ha, Seung-Hyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.33 no.5
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    • pp.331-338
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    • 2020
  • In this study, the characteristic of a 3-D micro-woven material, which is one of the newly developed periodic open-cell structure, is analyzed through various computational simulations. To increase the accuracy of the numerical simulations, the distance between each directional wire is parameterized using six design variables, and its model geometry is precisely discretized using tetrahedron elements. Using the improved computational model, the material properties of the mechanical, thermal, and fluidic behavior are investigated using commercial software and compared with the previous experimental results. By changing the space between the x- and y-directional wires, a parametric test is performed to determine the tendency of the change in the material properties. In addition, the correlation between two different material properties is investigated using the Ashby chart. The result can further be used in determining the optimal pattern and wire spacing in 3-D micro-woven materials.

Modeling of SP responses for geothermal-fluid flow within EGS reservoir (EGS 지열 저류층 유체 유동에 의한 SP 반응 모델링)

  • Song, Seo Young;Kim, Bitnarae;Nam, Myung Jin;Lim, Sung Keun
    • Geophysics and Geophysical Exploration
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    • v.18 no.4
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    • pp.223-231
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    • 2015
  • Self-potential (SP) is sensitive to groundwater flow and there are many causes to generate SP. Among many mechanisms of SP, pore-fluid flow in porous media can generate potential without any external current source, which is referred to as electrokinetic potential or streaming potential. When calculating SP responses on the surface due to geothermal fluid within an engineered geothermal system (EGS) reservoir, SP anomaly is usually considered to be generated by fluid injection or production within the reservoir. However, SP anomaly can also result from geothermal water fluid within EGS reservoirs experiencing temperature changes between injection and production wells. For more precise simulation of SP responses, we developed an algorithm being able to take account of SP anomalies produced by not only water injection and production but also the fluid of geothermal water, based on three-dimensional finite-element-method employing tetrahedron elements; the developed algorithm can simulate electrical potential responses by both point source and volume source. After verifying the developed algorithm, we assumed a simple geothermal reservoir model and analyzed SP responses caused by geothermal water injection and production. We are going to further analyze SP responses for geothermal water in the presence of water production and injection, considering temperature distribution and geothermal water flow in the following research.