• 제목/요약/키워드: $Theta^*$

검색결과 2,013건 처리시간 0.03초

Influence of elastic T-stress on the growth direction of two parallel cracks

  • Li, X.F.;Tang, B.Q.;Peng, X.L.;Huang, Y.
    • Structural Engineering and Mechanics
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    • 제34권3호
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    • pp.377-390
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    • 2010
  • This paper studies fracture initiation direction of two parallel non-coplanar cracks of equal length. Using the dislocation pile-up modelling, singular integral equations for two parallel cracks subjected to mixed-mode loading are derived and the crack-tip field including singular and non-singular terms is obtained. The kinking angle is determined by using the maximum hoop stress criterion, or the ${\sigma}_{\theta}$-criterion. Results are presented for simple uniaxial tension and biaxial loading. The biaxiality ratio has a noticeable influence on crack growth direction. For the case of biaxial tension, when neglecting the T-stress the crack branching angle is overestimated for small crack inclination angles relative to the largest applied principal stress direction, and underestimated for large crack inclination angles.

System Size and Service Size Distributions of a Batch Service Queue

  • Lee, Soon-Seok;Lee, Ho-Woo;Yoon, Seung-Hyun;Nadrajan, R.
    • Journal of the Korean Operations Research and Management Science Society
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    • 제18권3호
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    • pp.179-186
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    • 1993
  • We derive the arbitrary time point system size distribution of M/ $G^{B}$1 queue in which late arrivals are not allowed to join the on-going service. The distribution is given by P(z) = $P_{4}$(z) $S^{*}$ (.lambda.-.lambda.z) where $P_{4}$ (z) is the probability generating function of the queue size and $S^{*}$(.theta.) is the Laplace-Stieltjes transform of the service time distribution function. We also derive the distribution of the service siez at arbitrary point of time. time.

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A Note on the M/G/1/K Queue with Two-Threshold Hysteresis Strategy of Service Intensity Switching (고객수 상태에 따른 서비스를 제공하는 M/G/1/K 대기체계에 관한 소고)

  • Choi, Doo Il;Kim, Bo Keun;Lee, Doo Ho
    • Journal of the Korean Operations Research and Management Science Society
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    • 제39권3호
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    • pp.1-5
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    • 2014
  • We study the paper Zhernovyi and Zhernovyi [Zhernovyi, K.Y. and Y.V. Zhernovyi, "An $M^{\Theta}/G/1/m$ system with two-threshold hysteresis strategy of service intensity switching," Journal of Communications and Electronics, Vol.12, No.2(2012), pp.127-140]. In the paper, authors used the Korolyuk potential method to obtain the stationary queue length distribution. Instead, our note makes an attempt to apply the most frequently used methods : the embedded Markov chain and the supplementary variable method. We derive the queue length distribution at a customer's departure epoch and then at an arbitrary epoch.

Observation of Susceptibility Change in fMRI Using SSFP Interferometry (SSFPI) Technique (핵자기 뇌기능 영상에서 SSFPI 기법을 이용한 자화율효과의 관찰)

  • Chung, J.Y.;Chung, S.C.;Ro, Y.M.;Cho, Z.H.
    • Proceedings of the KOSOMBE Conference
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    • 대한의용생체공학회 1995년도 추계학술대회
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    • pp.173-176
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    • 1995
  • We have developed a fast steady state free precession interferometry (SSFPI) technique which is useful for the fMRI (functional Magnetic Resonance Imaging). As is known, SSFP sequence with a suitable adjustment of gradient (readout) allows us to measure precession angle $\theta$ which is in turn related to the field inhomogeneity [1-3]. When the method is applied to the susceptibility effect based functional magnetic resonance imaging (fMRI), it was found that the direct susceptibility effect measurement was possible without perturbations such as the backgrounds and inflow effect. In this paper, simulation results and experimental results obtained with 2.0 Tesla MRI system are also presented.

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A NOTE ON THE θ3(0, τ)

  • Kim, Daeyeoul;Jeon, Hyeong-Gon
    • Korean Journal of Mathematics
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    • 제6권1호
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    • pp.67-70
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    • 1998
  • Let ${\eta}(\tau)=q^{1/24}\prod_{n=1}^{\infty}(1-q^n)$, where $q=e^{2{\pi}i{\tau}}$ and ${\tau}{\in}\mathbb{C}$. Then the transformation $$g(\tau)={\rho}\frac{\{\eta(\frac{\tau+1}{2})\eta(\frac{\tau+2}{2})\}^{16}}{\eta(\tau)^{24}}({\bar{{\rho}}{\eta}}(\frac{\tau+1}{2})^8+{\eta}(\frac{\tau+2}{2})^8)^2$$ is holomorphic for Im ${\tau}$ > 0, and has the property $$g(\tau+1)=g(\tau),\;g(-\frac{1}{\tau})={\tau}^{12}g(\tau)$$. (Theorem)

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Solidification Characteristics of Al-Cu Polycrystalline Ribbons in Planar Flow Casting (PFC법에 있어서의 Al-Cu 다결정리본의 응고특성)

  • Lee, Kyung-Ku;Lee, Sang-Mok;Hong, Chun-Ryo
    • Journal of Korea Foundry Society
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    • 제15권4호
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    • pp.408-415
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    • 1995
  • Polycrystalline Al-Cu ribbons were produced by planar flow casting(PFC). Solidification behavior and microstructual changes of the ribbons have been investigated as a function of ribbon thickness and processing parameters. The solidification front velocity, V varies within the ribbon, decreasing with increasing the distance, S from the wheel-contact surface, as $V=17.6S^{-1}$. In Al-4.5wt%Cu alloy, rapid decrease in solidification velocity toward the free surface causes a change in solidification morphology from planar to cellular, and finally, to dendritic. The length and inclination of columnar grains solidified with planar front were related to the wheel velocity. The transition from particulate degenerate eutectic structure to regular lamellar eutectic structure was observed to be caused by a difference of the relative growth velocites of ${\alpha}-Al$ and ${\theta}$ during solidification in the Al-Cu eutectic alloy.

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A study on Fast Decoupled Load Flow Algorithm using the decoupling technique via linear transformation (선형변환 분할기법을 이용한 고속분할 조류 계산 앨고리즘에 관한 연구)

  • Song, Kil-Yeong;Choi, Sang-Geu;Hwang, Moon-Baeg
    • Proceedings of the KIEE Conference
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    • 대한전기학회 1988년도 추계학술대회 논문집 학회본부
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    • pp.115-117
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    • 1988
  • The algorithm presented here achieves mathematically better decoupling of the MW-$\theta$ and MVARE Calculations by applying linear transformations to load flow equation on paired initial power. The linear transformations to decouple Jacobian matrix prove to be highly profitable considering both Convergence characteristics and computation time per iteration to those required by the FDLF, because the decoupling does not rely on the assumption that the transmission lines have high X/R ratios.

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Magnetic properties of Co-Cr(-Ta)/Si bilayered thin film (Co-Cr(-Ta)/Si 이층막의 자기적 특성)

  • 김용진;박원효;금민종;손인환;최형욱;김경환
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 한국전기전자재료학회 2001년도 하계학술대회 논문집
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    • pp.100-103
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    • 2001
  • In order to investigate the magnetic properties of CoCr-based bilayered thin films on kind of underlayer, we introduced amorphous Si layer to Co-Cr(-Ta) magnetic layer as underlayer. With the thickness of CoCr, CoCrTa single layer, crystalline orientation and perpendicular coercivity was improved. It was revealed that by introducing the Si underlayer, the c-axis orientation of CoCr, CoCrTa magnetic layer was improved largely. However, with increasing Si film thickness, perpendicular coercivity and saturation magnetization of Cocr/si, CoCrTa/Si bilayered thin films was decreased. Grain size of bilayered thin films became larger.

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Properties of ZnO Thin Films Using ZnO Buffer Layer (ZnO 완충층을 이용하여 증착시킨 ZnO 박막의 특성)

  • 방규현;황득규;이동희;오민석;최원국
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 한국전기전자재료학회 2001년도 하계학술대회 논문집
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    • pp.224-227
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    • 2001
  • ZnO buffer layers were used to grow ZnO films on c-plane sapphire substrates. The role of ZnO buffer layers in the growth of ZnO thin films on sapphire substrates was investigated by scanning electron microscopy, X-ray diffraction, and Photolumminescence(PL) measurements. At the optimized ZnO buffer layer thickness of 100 $\AA$, FWHM of $\theta$ -rocking curve of ZnO thin films was minimized to 0.73 degrees and room temperature PL spectra showed that deep level emission was not hardly seen. The optimization of the ZnO buffer layer thickness resulted in improvements of the surface morphology and crystalline quality of ZnO thin films.

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Experimental study on heat transfer inside inclined thermosyphon with low integral-fins (낮은 핀을 가진 경사 써모사이폰의 열전달 성능에 관한 실험적 연구)

  • 조동현;권혁홍
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • 제10권2호
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    • pp.165-172
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    • 1998
  • An experimental study on the heat transfer of the inclined thermosyphon with low integral-fins in which boiling and condensation occurred is performed to investigate its heat transfer performance. Water and CFC-30 have been used as the working fluids. The operating temperature and the inclination angle of thermosyphon have been used as the experimental parameters. The heat flux input and the inclination angle $\theta$ towards the vertical position were varied in steps. The heat transfer rate in the thermosyphon was depended upon the inclination angle. In addition, it is to obtain the overall heat transfer coefficients and the characteristics as a operating temperature for the practical applications.

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