• Title/Summary/Keyword: Isotropic Structure

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SOME ISOTROPIC CURVES AND REPRESENTATION IN COMPLEX SPACE ℂ3

  • Qian, Jinhua;Kim, Young Ho
    • Bulletin of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.963-975
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    • 2015
  • In this paper, we give a representation formula for an isotropic curve with pseudo arc length parameter and define the structure function of such curves. Using the representation formula and the Frenet formula, the isotropic Bertrand curve and k-type isotropic helices are characterized in the 3-dimensional complex space $\mathbb{C}^3$.

Highly Sensitive Stretchable Electronic Skin with Isotropic Wrinkled Conductive Network

  • Seung Hwan Jeon;Hyeongho Min;Jihun Son;Tae Kon Ahn;Changhyun Pang
    • Journal of Sensor Science and Technology
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    • v.33 no.1
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    • pp.7-11
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    • 2024
  • Soft-pressure sensors have numerous applications in soft robotics, biomedical devices, and wearable smart devices. Herein, we present a highly sensitive electronic skin device with an isotropic wrinkled pressure sensor. A conductive ink for soft pressure sensors is produced by a solution process using polydimethylsiloxane (PDMS), poly 3-hexylthiophene (P3HT), carbon black, and chloroform as the solvents. P3HT provides high reproducibility and conductivity by improving the ink dispersibility. The conductivity of the ink is optimized by adjusting the composition of the carbon black and PDMS. Soft lithography is used to fabricate a conductive elastic structure with an isotropic wrinkled structure. Two conductive elastic structures with an isotropic wrinkle structure is stacked to develop a pressure sensor, and it is confirmed that the isotropic wrinkle structure is more sensitive to pressure than when two elastic structures with an anisotropic wrinkle structure are overlapped. Specifically, the pressure sensor fabricated with an isotropic wrinkled structure can detect extremely low pressures (1.25 Pa). Additionally, the sensor has a high sensitivity of 15.547 kpa-1 from 1.25 to 2500 Pa and a linear sensitivity of 5.15 kPa-1 from 2500 Pa to 25 kPa.

Theoretical Prediction of the Thermodynamic Properties of Liquid-Crystalline p-Azoxyanisole (액정 p-Azoxyanisole의 열역학적 성질에 대한 이론적인 예측)

  • Youngkyu Do;Mu Shik Jhon;Taikyue Ree
    • Journal of the Korean Chemical Society
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    • v.20 no.2
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    • pp.118-128
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    • 1976
  • The significant structure theory of liquids and the Bragg-Williams approximation of phase transition theory have been applied to the calculation of the thermodynamic properties of p-azoxyanisole which exhibits a liquid crystal phase of the nematic type. The isotropic phase was treated as a normal liquid; and for the nematic phase, in addition to its liquidity, the effect due to the arrangement of molecular-dipoles was considered. The liquidity of the p-azoxyanisole was described by the significant structure theory of liquids, and the Bragg-Williams approximation was used to consider the effect due to the arrangement of molecular-dipoles. The molar volume, vapor pressure, heat capacity at constant pressure, thermal expansion coefficient, compressibility, entropy and enthalpy change at the nematic-isotropic phase transition point, absolute entropy, and absolute Helmholtz free energy were calculated over the temperature range of the nematic and isotropic phases. The calculated results of the thermodynamic properties were compared with the experimental data.

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Cyclic Structure Jacobi Semi-symmetric Real Hypersurfaces in the Complex Hyperbolic Quadric

  • Imsoon Jeong;Young Jin Suh
    • Kyungpook Mathematical Journal
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    • v.63 no.2
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    • pp.287-311
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    • 2023
  • In this paper, we introduce the notion of cyclic structure Jacobi semi-symmetric real hypersurfaces in the complex hyperbolic quadric Qm* = SO02,m/SO2SOm. We give a classifiction of when real hypersurfaces in the complex hyperbolic quadric Qm* having 𝔄-principal or 𝔄-isotropic unit normal vector fields have cyclic structure Jacobi semi-symmetric tensor.

Coherent Structure Extraction from 3-Dimensional Isotropic Turbulence Velocity Field Using Discrete Wavelet Transform (이산 Wavelet 변환을 이용한 3차원 등방성 난류속도장의응집구조 추출)

  • Lee, Sang-Hwan;Jung, Jae-Yoon
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.9
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    • pp.1032-1041
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    • 2004
  • In this study we decompose the 3-dimensional velocity field of isotropic turbulent flow into the coherent and the incoherent structure using the discrete wavelet. It is shown that the coherent structure, 3% wavelet modes, has 98% energy and 88% enstrophy and its statistical characteristics are almost same as the original turbulence structure. And it is confirmed that the role of the coherent structure is that it produces the turbulent kinetic energy at the inertia range then transfers energy to the dissipation range. The incoherent structure, with residual wavelet modes, is uncorrelated and has the Gaussian probability density function but it dissipates the kinetic energy in dissipation range. On the procedure, we propose a new but easy way to get the threshold by applying the energy partition percentage concept about coherent structure. The vorticity field extracted from the wavelet-decomposed velocity field has the same structure as the result of the precedent studies which decomposed vorticity field directly using wavelet. Therefore it has been shown that velocity and vorticity field are on the interactive condition.

Design and Analysis of 3D Isotropic Metamaterial Bulk Structure Using Thin Wire and SRR (Thin Wire와 SRR을 이용한 3D 등방성 Metamaterial Bulk 구조 설계 및 분석)

  • Kim, Chung-Ju;Lee, Bom-Son
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.22 no.9
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    • pp.919-925
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    • 2011
  • In this paper, we designed and analyzed a 3D isotropic bulk structure consisting of thin wires and SRR's(Split Ring Resonator) with which the permittivity and permeability can be controlled at the same time. For the 3D isotropic bulk structure, first of all, the geometry seen by three main axes must look alike. Thus, we adopted the orthogonal thin wires and symmetrical SRR's. As a result, we constructed metamaterial bulk structures of which effective relative permittivity and permiability are about -0.6 and -1.5, respectively. Its refractive index is about -0.95 in each direction(x, y and z direction). The computed Brillouin dispersion diagram also showed that the proposed structure is almost near isotropic.

ISOTROPIC MEAN BERWALD FINSLER WARPED PRODUCT METRICS

  • Mehran Gabrani;Bahman Rezaei;Esra Sengelen Sevim
    • Bulletin of the Korean Mathematical Society
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    • v.60 no.6
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    • pp.1641-1650
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    • 2023
  • It is our goal in this study to present the structure of isotropic mean Berwald Finsler warped product metrics. We bring out the rich class of warped product Finsler metrics behaviour under this condition. We show that every Finsler warped product metric of dimension n ≥ 2 is of isotropic mean Berwald curvature if and only if it is a weakly Berwald metric. Also, we prove that every locally dually flat Finsler warped product metric is weakly Berwaldian. Finally, we prove that every Finsler warped product metric is of isotropic Berwald curvature if and only if it is a Berwald metric.

Fabrication of Knife type Si tip array by orientation dependent etching of single silicon substrate (단결정 Si 기판의 결정 의존성 식각에 의한 Knife형 Si tip array의 제조)

  • Jung, Yu-Ho;Ko, Chang-Gi;Kim, Chul-Ju;Ju, Byeong-Kwon;Oh, Myung-Hwan
    • Proceedings of the KIEE Conference
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    • 1995.07c
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    • pp.1428-1430
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    • 1995
  • In this study we fabricate Knife type Si-tip array using (110) Si wafer. We can fabricate vertical structure by anisotropic etching using EPW and observe it by SEM. After the step, we perform isotropic etching and oxidation sharpening of the structure and also observe it by SEM, respectively. The purpose of isotropic etching is to reduce the oxidation time. We attain a optimal tip whose radius is about $100{\AA}$ after anisotropic etching 2.25 min.+isotropic etching 5 min.+oxidation 1 hour and 23 min.

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3-Dimensional Transmitting Boundary for Dynamic Soil-Structure Interaction Analysis in Water-Saturated Transversely Isotropic Stratum (동적 지반-구조물 상호작용 해석을 위한 지하수로 포화된 가로등방성 층상지반의 3차원 전달경계)

  • Lee, Jin-Ho;Kim, Jae-Kwan
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.345-350
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    • 2006
  • If a structure is founded on the ground saturated with pore water, then the ground should be modeled as a saturated two-phase porous medium for accurate earthquake response analysis. In this study, a 3-dimensional transmitting boundary is developed for modeling of far field using u-U formulation for water-saturated transversely isotropic layered stratum. The developed transmitting boundary is verified by comparing the dynamic stiffness of rigid square foundation on water-saturated isotropic layered stratum with the case of using equivalent single-phase medium model.

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