• 제목/요약/키워드: isotropy

검색결과 142건 처리시간 0.046초

ISOTROPY REPRESENTATIONS OF CYCLIC GROUP ACTIONS ON HOMOTOPY SPHERES

  • Suh, Dong-Youp
    • 대한수학회보
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    • 제25권2호
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    • pp.175-178
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    • 1988
  • Let .SIGMA. be a smooth compact manifold without boundary having the same homotopy type as a sphere, which is called a homotopy sphere. Supose a group G acts smoothly on .SIGMA. with the fixed point set .SIGMA.$^{G}$ consists of two isolated fixed points p and q. In this case, tangent spaces $T_{p}$ .SIGMA. and $T_{q}$ .SIGMA. at isolated fixed points, as isotropy representations of G are called Smith equivalent. Moreover .SIGMA. is called a supporting homotopy sphere of Smith equivalent representations $T_{p}$ .SIGMA. and $T_{q}$ .SIGMA.. The study on Smith equivalence has rich history, and for this we refer the reader to [P] or [Su]. The following question of pp.A.Smith [S] motivates the study on Smith equivalence.e.

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횡방향 등방성을 고려한 단섬유 인장 실험 모델링 (Modeling of Single Fiber Pull-Out Experiment Considering the Effects of Transverse Isotropy)

  • 설일찬;이춘열;채영석
    • 대한기계학회논문집A
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    • 제26권7호
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    • pp.1384-1392
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    • 2002
  • Single fiber pull-out technique has been commonly used to characterize the mechanical behavior of interface in fiber reinforced composite materials. An improved analysis considering the effects of transversely isotropic properties of fiber and the effects of thermal residual stresses in both radial and axial directions along the fiber/matrix interface is developed for the single fiber pull-out test. Although the stress transfer properties across the interface is not much affected by considering the transversely isotropic properties of fiber, interfacial debonding is notably encouraged by the effect. The interfacial shear stress that plays an important role in interfacial debonding is very much affected by the component of axial thermal residual stress in the bonded region, which can induce a two-way debonding mechanism.

섬유강화 고분자 복합재료에서 섬유배향상태에 따른 기계적 성질 (The Mechanical Property by Fiber Orientation Distributions in Fiber-Reinforced Polymeric Composites)

  • 이동기;심재기;한길영;김혁;김진우;이정주
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2003년도 춘계학술발표대회 논문집
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    • pp.202-205
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    • 2003
  • Investigated whether fiber orientation situation of fiber reinforcement macromolecule composition board and the fiber inclusion rate are perpendicular and horizontal direction tensile strength and some correlation. Fiber orientation situation of tensile strength of 0 direction of composition board increased changelessly by aeolotropy in isotropy. Tensile strength of 90 direction that is isotropy and tensile strength of 0 direction that is aeolotropy agreed almost. Get into aeolotropy, the reinforcement rate of fiber decreased. When load interacts for width direction of reinforcement.

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정사각 직관과 $180^{\circ}$ 곡관내 난류유동의 레이놀즈응력모형 적용 (Turbulent Flow through a Square Straight and Curved Duct with Reynolds Stress Models)

  • 전건호;최영돈
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집B
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    • pp.771-776
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    • 2000
  • Fine grid calculations are reported for the developing turbulent flow in a straight duct and a curved duct of square cross-section with a radius of curvature to hydraulic diameter ratio ${\delta}=R_c/H_H=3.357$ and a bend angle of 180 deg. A sequence of modeling refinements is introduced; the replacement of wall function by a fine mesh across the sublayer and a low Reynolds number second moment closure up to the near wall sublayer in which the non-linear return to isotropy model and the cubic-quasi-isotropy model for the pressure strain are adopted; and the introduction of a multiple source model for the exact dissipation rate equation. Each refinement is shown to lead to an appreciable improvement in the agreement between measurement and computation.

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Strength properties of lime stabilized and fibre reinforced residual soil

  • Okonta, Felix N.;Nxumalo, Sinenkosi P.
    • Geomechanics and Engineering
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    • 제28권1호
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    • pp.35-48
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    • 2022
  • The effect of discrete polypropylene fibre reinforcement on shear strength parameters, tensile properties and isotropic index of stabilized compacted residual subgrade was investigated. Composites of compacted subgrade were developed from polypropylene fibre dosage of 0%, 1%, 2.5% and 4% and 3% cement binder. Saturated compacted soil benefited from incremental fibre dosage, the mobilized friction coefficient increased to a maximum at 2.5% fibre dosage from 0.41 to 0.58 and the contribution due to further increase in fibre dosage was marginal. Binder stabilization increased the degree of isotropy for unreinforced soil at lower fibre dosage of 1% and then decreased with higher fibre dosage. Saturation of 3% binder stabilized soil decreased the soil friction angle and the degree of isotropy for both unstabilized and binder stabilized soil increased with fibre dosage. The maximum tensile stress of 3% binder stabilized fibre reinforced residual soil was 3-fold that of 3% binder stabilized unreinforced soil. The difference in computed and measured maximum tensile and tangential stress decreased with increase in fibre dosage and degree of stabilization and polypropylene fibre reinforced soil met local and international criteria for road construction subgrade.

바이오센서용 거대자기저항-스핀밸브 박막이 등방성 자기저항 특성을 갖게 하는 후열처리 조건 연구 (Post Annealing Treatment Introducing an Isotropy Magnetorsistive Property of Giant Magnetoresistance-Spin Valve Film for Bio-sensor)

  • 카지드마;박광준;이상석
    • 한국자기학회지
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    • 제23권3호
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    • pp.98-103
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    • 2013
  • NiFe/Cu/NiFe/IrMn/NiFe/Cu/NiFe 이중 거대자기저항-스핀밸브(GMR-SV) 박막의 진공 후열처리 온도의존성을 조사하여 강자성층 자화용이축을 유도하였다. 자유층과 고정층의 자화용이축에 의존하는 이중 스핀밸브 박막의 자기저항곡선은 외부자기장 각도를 다르게 하면서 측정하였다. 열처리온도가 $105^{\circ}C$일 때, $0^{\circ}$$90^{\circ}$ 사이 임의 측정 각도에서 약 2.0 %/Oe인 자장감응도 특성을 얻었다. 이러한 결과는 면상 강자성층과 자유층을 면상에서 서로 직교한 자화방향 유도를 통하여 이중구조 GMR-SV 박막이 고감도 바이오센서로 사용할 가능성을 제시하였다.

섬유주의 이방성에 따른 초음파의 파형 변화 (Is ultrasound wave affected by anisotropy of trabeculae)

  • 윤원석;윤영준
    • 한국정보전자통신기술학회논문지
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    • 제4권4호
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    • pp.236-241
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    • 2011
  • 높은 기공성을 갖춘 망상골과 고체의 비율이 높은 피질골의 기계적 성질은 초음파 파동 전파 측정법으로 알 수 있다. 초음파의 속도(SOS)는 bulk wave 방정식과 bar wave 방정식을 통해 산출할 수 있다. Bulk wave는 Biot의 이론에서 빠른 파동과 매우 유사함을 이용해, 본 연구에서 뼈의 이방성을 담은 행렬에 의해 bulk wave 속도가 변하는 여부를 측정하였다. 음파의 속도는 뼈가 횡방적인(transversely isotropy) 특성을 갖을 때보다 등방적인 특성을 갖을 때 0.69% 빠르다. 또한 bar wave 방정식을 사용하여 피질골에 대한 속도를 측정하였다. 전의 논문에 의하면 bar wave 속도는 탄성 계수 텐서 혹은 영의 계수의 함수이고 이와 같은 방법으로 bar wave 속도에 의해 등방성과 이방성을 측정하였다.

디젤차량 배기가스의 PM 제거에 관한 매연여과장치 전산해석 (A CFD Analysis on DPF for the Removal of PM from the Emission of Diesel Vehicle)

  • 염규인;한단비;남승하;백영순
    • 청정기술
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    • 제24권4호
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    • pp.301-306
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    • 2018
  • 최근 미세먼지의 증가로 인해 디젤 자동차로부터 발생되는 PM에 대한 규제가 강화되고 있다. 디젤 자동차의 배기가스를 제거하는 후처리 장치인 매연여과장치(diesel particulate filter, DPF)에 대한 관심이 급증하고 있다. 따라서 DPF 효율 향상의 하나로 DPF 내의 압력강하를 줄여서 필터 및 재생(Regeneration)의 효율을 증가시키고 있다. 본 연구에서는 ANSYS FLUENT를 이용하여 5.66" SiC와 Cordierite DPF의 셀 밀도, 채널 형상, 벽두께, 입 출구 채널 비에 따른 압력강하 영향을 시뮬레이션했다. 실험결과로서 200 CPSI보다 300 CPSI에서 압력강하가 작게 나타났으며, Anisotropy과 O/S 셀이 Isotropy보다 약 1,301 Pa 작은 압력강하를 나타냈다. 공극률은 10% 증가할 때 마다 압력강하가 약 300 Pa씩 작아졌고, 벽 두께에 따른 영향은 0.05 mm 두꺼워질수록 약 500 Pa 씩 커지는 경향을 나타냈다.

Computer modeling of elastoplastic stress state of fibrous composites with hole

  • Polatov, Askhad M.;Ikramov, Akhmat M.;Khaldjigitov, Abduvali A.
    • Coupled systems mechanics
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    • 제8권4호
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    • pp.299-313
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    • 2019
  • The paper represents computer modeling of the deformed state of physically nonlinear transversally isotropic bodies with hole. In order to describe the anisotropy of the mechanical properties of transversally-isotropic materials a structurally phenomenological model has been used. This model allows representing the initial material in the form of the coupled isotropic materials: the basic material (binder) considered from the positions of continuum mechanics and the fiber material oriented along the anisotropy direction of the original material. It is assumed that the fibers perceive only the axial tensile-compression forces and are deformed together with the base material. To solve the problems of the theory of plasticity, simplified theories of small elastoplastic deformation have been used for a transversely-isotropic body, developed by B.E. Pobedrya. A simplified theory allows applying the theory of small elastoplastic deformations to solve specific applied problems, since in this case the fibrous medium is replaced by an equivalent transversely isotropic medium with effective mechanical parameters. The essence of simplification is that with simple stretching of composite in direction of the transversal isotropy axis and in direction perpendicular to it, plastic deformations do not arise. As a result, the intensity of stresses and deformations both along the principal axis of the transversal isotropy and along the perpendicular plane of isotropy is determined separately. The representation of the fibrous composite in the form of a homogeneous anisotropic material with effective mechanical parameters allows for a sufficiently accurate calculation of stresses and strains. The calculation is carried out under different loading conditions, keeping in mind that both sizes characterizing the fibrous material fiber thickness and the gap between the fibers-are several orders smaller than the radius of the hole. Based on the simplified theory and the finite element method, a computer model of nonlinear deformation of fibrous composites is constructed. For carrying out computational experiments, a specialized software package was developed. The effect of hole configuration on the distribution of deformation and stress fields in the vicinity of concentrators was investigated.