• 제목/요약/키워드: Body Centered Cubic

검색결과 39건 처리시간 0.02초

Effect of shear on poly(styrene-b-isoprene) copolymer micelles

  • Bang, Joon-A;Lodge, Timothy P.
    • Korea-Australia Rheology Journal
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    • 제19권4호
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    • pp.227-232
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    • 2007
  • The use of various shearing apparatuses to study the phase behavior of poly(styrene-b-isoprene) diblock copolymer micelles is described. A DMTA rheometer was modified so that one can apply oscillatory shear and obtain the scattering pattern along the shear gradient direction. A cone and plate shear cell was designed to access scattering along the shear vorticity direction, and both oscillatory and steady shear can be applied. The most popular way to employ steady shear on relatively low viscosity fluids is to use a Couette cell, because a high shear rate can be readily achieved without disturbing the sample by overflow. In this work, oscillatory shear was used to obtain a single crystal-like scattering pattern, and thereby to examine the mechanism of the thermotropic transition between face-centered cubic (fcc) and body-centered cubic (bcc) lattices. By applying the steady shear, the response of the fcc lattices to various shear rates is discussed.

On the Selection of FCC and BCC Lattices in Poly(styrene-b-isoprene) Copolymer Micelles

  • Bang, Joona;Lodge, Timothy P.
    • Macromolecular Research
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    • 제16권1호
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    • pp.51-56
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    • 2008
  • Spherical micelles of poly(styrene-b-isoprene) (SI) diblock copolymers in selective solvents have been reported to pack onto either face-centered cubic (fcc) or body-centered cubic (bcc) lattices. The selection rule for fcc and bcc lattices has been understood in terms of the intermicellar potentials, and they have been quantified using the ratio of the corona layer thickness to the core radius, $L/R_c$, as suggested by McConnell and Gast. In order to test the validity of the McConnell-Gast criterion, this study compared the $L/R_c$ values from various solutions i.e. nine SI copolymers in several different selective solvents. The McConnell-Gast criterion was not found to be a determining factor, even though it could explain the fcc/bcc selection qualitatively. From the phase diagrams, the transition between fcc and bcc phases was also considered as a function of concentration and temperature, and their physical mechanisms are discussed based on the recent mean-field calculation reported by Grason.

액체 막이 입혀진 구 입자 배열을 지나는 기체 흐름 (Gas Flow through Arrays of Spheres Coated by Liquid Film)

  • 구상균
    • 공업화학
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    • 제20권6호
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    • pp.646-652
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    • 2009
  • 본 연구는 표면에 액체 막이 입혀진 구 입자를 지나는 기체의 흐름이 구 입자에 작용하는 항력을 결정하는 3상계 문제를 다룬다. 기체 흐름의 관성은 무시할 정도로 작으며, 구 입자의 표면에서 액체는 중력에 의해 흐르고 액체 막이 기체 흐름에 영향을 받지 않는 경우를 고려한다. SC (simple cubic), BCC (body centered cubic), FCC (face centered cubic) 각 배열의 구 입자들에 대해 외란 기법(perturbation method)과 멀티폴 전개(multipole expansion) 방법을 이용하여 입자들의 수력학적 상호 작용을 계산하고 궁극적으로 액체 막과 액체의 흐름이 기체 흐름에 미치는 영향을 수치적으로 결정한다. 근사적인 방법으로 액체 막의 효과에 구하고 이를 엄밀한 계산 값들과 비교한 결과, 대체로 일치함을 보인다.

상대 밀도에 따른 금속 적층 제조 격자 구조체의 기계적 특성 (Mechanical Properties of Metallic Additive Manufactured Lattice Structures according to Relative Density)

  • 박광민;김정길;노영숙
    • 한국산학기술학회논문지
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    • 제22권6호
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    • pp.19-26
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    • 2021
  • 격자 구조체는 강도 및 강성, 초경량 및 에너지 흡수 능력 등의 우수성을 가지고 있어서 전방위 산업에서 주목을 받고 있으나, 다양한 장점에도 불구하고 복잡한 형상에 따른 제조 공정의 어려움으로, 현재까지 광범위한 상용화 및 사용은 제한되고 있다. 한편 적층 제조는 전통적인 제조 방법으로는 불가능한 복잡한 기하학적 형상 제조가 가능한 기술로써, 격자 구조체 제조를 위한 최적 기술로 주목을 받고 있다. 본 연구에서는 3차원 좌표 방법으로 단위 셀을 형성하고, 단위셀의 바운더리 박스 크기 및 스트럿 반경에 따른 상대 밀도의 관계식을 도출하였다. 본 연구에서는 Simple Cubic(SC), Body-Centered Cubic(BCC) 및 Face-Centered Cubic(FCC)을 모델링 소프트웨어를 사용하여 상대 밀도 맞춤형 구조체를 설계하였다. 본 연구에서 제안한 상대 밀도 산출식 정확도는 SC, BCC 및 FCC에서 98.3 %, 98.6 % 및 96.2%의 신뢰성을 확보하였다. 격자 구조체를 대상으로 시뮬레이션 수행 결과, 동일한 셀 배열 조건에서는 상대 밀도가 커짐에 따라 항복 하중이 커지고, 동일 배열 조건에서는 SC, BCC, FCC 순으로 압축 항복 하중이 작아지는 결과가 나타났다. 최종적으로 20 mm × 20 mm × 20 mm 크기의 구조체는 SC 단위 셀을 3×3×3 배열로 구성하는 것이 압축 하중에 대한 구조적 최적화가 가능한 것으로 나타났다.

결정 구조들의 해석을 위한 컴퓨터 프로그래밍 (A Computer Programming for the Analysis of Crystal Structures)

  • 김진희
    • 한국정보처리학회논문지
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    • 제7권3호
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    • pp.872-878
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    • 2000
  • In this paper a computer programming for the expression of nearest neighbor atoms in face-centered cubic (FCC) and body-centered cubic (BCC) crystals was suggested as one of the approaches to understand each of the crystal structure. By using this computer programming the distance values between a reference atom and the nearest neighbor atoms, and the numbers of the nearest neighbor atoms were calculated ane compared for the FCC and BCC crystals. In this algorithm, the positions of the atoms in a crystal were defined as two categories: the corner atoms and face- or body-centered atoms, and considered respectively. For the same order of nearest neighbor atoms except the second order ones the distance values form the reference atom were smaller in the FCC crystals than those in the BCC. Also, the numbers of he first and third nearest neighbor atoms n the FCC crystals were larger than those in the BCC. This difference was explained by the comparison of each atomic packing ratio of the FCC and BCC crystals. The algorithm used in this programming can also be expanded to the analysis of other crystal structures.

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Topological Approach to the Rubber Elasticity of Polymer Networks

  • 손정모;박형숙
    • Bulletin of the Korean Chemical Society
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    • 제10권1호
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    • pp.84-96
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    • 1989
  • Applying the topological theory of rubber elasticity which was suggested by K. Iwata to the newly devised body-centered cubic lattice model, the authors calculated the values of four terms of the free energy to form polymer networks. Finding the projection matrix of the BCL model, and comparing this with the values of the simple cubic lattice (abbreviated to SCL hereafter) model of K. Iwata, the authors obtained the stress versus strain curves and found that the curves are in good agreement with the experimental results of poly(dimethyl siloxane) networks.

GPU를 이용한 실시간 BCC 볼륨 등가면 레이 캐스팅 (Real-time BCC Volume Isosurface Ray Casting on the GPU)

  • 김민호;이영준
    • 한국컴퓨터그래픽스학회논문지
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    • 제18권4호
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    • pp.25-34
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    • 2012
  • 본 논문에서는 BCC (body-centered cubic) 볼륨 데이터의 등 가면을 GPU(graphics processing unit)에서 실시간으로 레이 캐스팅 렌더링하는 방법을 제시한다. 우선 준-보합 전치필터를 적용한 후 7-방향 박스-스플라인 필터를 기반으로 하여 4차 스플라인 함수로 볼륨데이터를 복구한다. 그래픽스 하드웨어에서 실시간 렌더링을 하기 위해, 참조테이블 및 조건 분기를 사용하지 않고 데이터 인출시의 비용을 줄이도록 쉐이더 코드를 최적화하였다. 본 방법을 기존의 BCC 레이 캐스팅과 비교해 본 결과, 비슷한 성능의 기존 방법에 비해 렌더링 속도는 20% 이상 빨라졌고 렌더링 이미지의 품질은 가장 좋았다.

체심입방격자 단결정의 소성스핀에 관한 연구 (A Study on the Plastic Spin of Body Centered Crystal)

  • 남용윤;김사수
    • 한국해양공학회지
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    • 제10권2호
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    • pp.53-60
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    • 1996
  • Many studies on the plastic spin have been done, but it is still an opened subject. It is essential for the modelling of plastic spin to understand its origin and governing parameters. For the task, it is helpful to know the hehavior of sigle crystal. This study gives the interpretations for the plastic spin of a B.C.C(body centered cubic crystal) by numerical simulation. It is discussed that the different levels of shear stresses induced on each slip pair in crystallographic slip systems and the nonlinear relationship between shear stress and slip velocity are the fundamental mechanisms of plastic spins. Finally some comments are provided on the plastic spin of polycrystal.

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The Ordered Structures of Poly(styrene-b-4vinylpridine)s

  • Pak, Soo-Young;Sul, Woo-Hwan;Chang, Yun-Jeong
    • 한국고분자학회:학술대회논문집
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    • 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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    • pp.191-191
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    • 2006
  • The structures of the mesophases and their subunits of PS-b-P4VP in a toluene solution were studied by using SAXS, TEM and GIFT methods. The hierarchical structures of PS-b-P4VP, such as the individual micelle, the face-centered cubic (fcc) and body-centered cubic (bcc) structures and the lamellar structure, were identified for the first time. The diameter of the micelle core was ${\sim}80\;%$ of the most extended chain length of the core chain, suggesting that the core chains were quite stretched. The stretched chain in the core caused the core of the micelle to be not homogenous with a higher density at the center than at the outer part. As the concentration level increases, the fcc and both fcc and bcc appear for the packing of the micelles of PS(3.3k)-b-P4VP(4.7K) and PS(12K)-b-P4VP(11.8K), respectively. The lamellar structure was also identified, with a further increase in the concentration for PS(3.3k)-b-P4VP(4.7K). These hierarchical structures were also identified via TEM images.

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