• Title/Summary/Keyword: Anisotroy

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Distribution of the Reynolds Stress Tensor inside Tip Leakage Vortex (익단 누설 와류내의 레이놀즈 응력 분포)

  • Lee, Gong-Hee;Park, Jong-Il;Baek, Je-Hyun
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.496-501
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    • 2003
  • Reynolds averaged Wavier-Stokes simulations based on the Reynolds stress model was performed to investigated the effect of inlet flow angle on the distributions of the Reynolds stress tensor inside tip leakage vortex of a linear compressor cascade. Two different inlet flow angles ${\beta}=29.3^{\circ}$(design condition) and $36.5^{\circ}$(off-design condition) were considered. Stress tensor analysis, which transforms the Reynolds stress into the principal direction, was applied to show an anisotropy of the normal stresses. Whereas the anisotropy was highest in the region where the tip leakage vortex collides the suction side of the blade and tip leakage flow enters between blade tip of the pressure side and the endwall, it had the lowest value at the center of tip leakage vortex. It was also found that the magnitude of maximum shear stress at design condition was greater than that of off-design condition.

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Anisotropic Version of Mohr-Coulomb Failure Criterion for Transversely Isotropic Rock (횡등방성 암석의 강도해석을 위한 이방성 Mohr-Coulomb 파괴조건식)

  • Lee, Youn-Kyou;Choi, Byung-Hee
    • Tunnel and Underground Space
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    • v.21 no.3
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    • pp.174-180
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    • 2011
  • An anisotropic version of Mohr-Coulomb failure criterion is proposed in order to provide a strength criterion for transversely isotropic rock. The concept of fabric tensor introduced by Pietruszczak & Mroz (2001) is employed to define the friction angle and cohesion as scalar functions of the fabric tensors. The anisotroy in these two strength parameters are calculated in association with the consideration of the relative rotation between the principal stress coordinate and the principal material triad. The critical plane on which the anisotropic function maximized is found by an optimization technique based on the Lagrange multiplier method. To demonstrate the performance of the anisotropic failure criterion, conventional triaxial tests on the samples having various inclinations of weakness plane are simulated and the resulting triaxial strength and dip angle of failure plane are discussed.