• Title/Summary/Keyword: Direction of anisotropy

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Anisotropic Analysis of Tunnel in Transversely Isotropic Rock (횡등방성 암반 내 터널의 이방성 해석)

  • Choi Mi-Jin;Yang Hyung-Sik
    • Tunnel and Underground Space
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    • v.15 no.6 s.59
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    • pp.391-399
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    • 2005
  • In this study, stress difference between isotropic and transversely isotropic rock mass, and planar principal stresses at the periphery of the tunnel in the rock with various ratio of anisotropy were determined theoretically. Stress differences between isotropic and anisotropic calculations at crown. side walls and floor of a tunnel with assumed stress states were analyzed and compare each other by $FLAC^{2D}$, a finite differential element method. As a result, magnitude and direction of principal stresses in the case of ignoring anisotropy were different from those of anisotropic cases, whatever the stress state was. Stress difference increased as the ratio of anisotropy increased. Direction or anisotropy affected stress difference, especially in the cases of anisotropic directions of $45^{\circ}\;and\;135^{\circ}$ of counterclockwise from x direction.

Anisotropy in Gum and Black Filled SBR and NR Vulcanizates Due to Large Deformation

  • Park, Byung-Ho;G.R. Hamed
    • Macromolecular Research
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    • v.8 no.6
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    • pp.268-275
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    • 2000
  • After imposing a large pre-strain, anisotropy increases with increasing residual extension ratio. Gums have very low residual extension ratio and exhibit little anisotropy, while black filled SBR and especially sulfur-cured carbon black filled NR have large set and anisotropy. For carbon black filled rubber, samples subjected to tensile loading in perpendicular to the pre-strain direction have the same stress-strain curves shape as the sample without pre-strain (=isotropic samples), but slightly lower modulus. However, compared to isotropic or perpendicular directional samples to pre-strain direction, samples subjected to tensile loading in parallel to the pre-strain direction show low stress at low deformation, but have high stiffness at high deformation. Normalized anisotropy changes with strain. The normalized anisotropy for various deformations is a linear function of residual extension ratio.

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A Study on the Defect length Measurement of Titanium Weld Zone Considering Acoustical Anisotropy (음향 이방성을 고려한 티타늄 용접부의 결함길이 측정에 관한 연구)

  • Park, Hee-Dong;Yun, In-Sik;Yi, Won
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.9
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    • pp.1070-1077
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    • 2011
  • This study intends to assess the defect in the weld zone of titanium grade 2 plate in terms of acoustical anisotropy based on the angle beam method. Depending on the rolling direction, the ratio of wave velocity was found to be 1.08 and the difference in the angle of refraction was more than seven degrees, confirming the presence of acoustical anisotropy. Thus for measuring the length of defect in the weld zone of the titanium plate (thickness of 10mm), the distance amplitude characteristics curves of titanium, TDACC-R and TDACC-T were constructed for the measurements in consideration of the acoustical anisotropy on CRT of the ultrasonic testing equipment. As a result, when the distance amplitude characteristics curve corresponds to the rolling direction, the length of defect was close to the actual measurement within 1mm and when different, the difference was found to be over 4mm. It was affirmed that the acoustical anisotropy should be taken into consideration when measuring the length of defects in the weld zone of the titanium plate with the presence of acoustical anisotropy.

Fatigue Strength Evaluation of Welded Box Type with HR Coil (HR Coil재 Box형 용접구조물의 피로강도평가에 관한 연구)

  • Kang, Sung-Won;Kim, Myung-Hyun;Jang, Yong-Won;Lee, Jin-Woo
    • Journal of Welding and Joining
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    • v.23 no.5
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    • pp.20-24
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    • 2005
  • Due to the difficulties associated with the supply of steel plates, hot rolled coil (Steel grade: SM490A) is considered fur structural materials in replace of the existing SWS50A-M1. However, it is found that SM490A exhibits a significant anisotropy in terms of impact energy with respect to transverse and longitudinal directions. In this study, an experimental investigation is carried out to examine the relationship between the anisotropy in impact values and the fatigue strengths of SM490A with respect to the rolling direction of test specimens. All test specimens failed around 1,500,000 cycles regardless of the test specimen direction. Therefore, it is found that the anisotropy in impact energy is not related to the fatigue strength of the materials considered in this study. However, the transverse direction specimen showed more rapid brittle fracture mode compared to that of longitudinal direction specimen, and this appears to be related to the lower impact values in transverse direction.

Prediction of Sheet Metal Necking with Anisotropic Hardening (이방성 가공경화를 고려한 냉간 압연강판의 넥킹 예측)

  • 인정제;김권희;함주희
    • Transactions of Materials Processing
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    • v.10 no.2
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    • pp.160-166
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    • 2001
  • Uniaxial necking is studied for steel sheets with initial anisotropy. The state of anisotropy is continuously altered by subsequent tensile deformation at angles to the rolling direction. The orientations of orthotropy axes are changed before the onset of necking. A simple hardening rule which incorporates the rotations of orthtropy axes is proposed and the necking strains are predicted at angles to the rolling direction. Predicted results show good agreement with the experiments.

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A Study on Plastic Deformation Characteristics and Formability for Pure Titanium Sheet (순 티타늄 판재의 변형 특성 및 성형성 평가)

  • In, J.H.;Jeong, K.C.;Lee, H.S.;Kim, J.H.;Kim, J.J.;Kim, Young Su
    • Transactions of Materials Processing
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    • v.27 no.5
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    • pp.301-313
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    • 2018
  • In this paper, tensile test was performed on pure titanium sheet (CP Ti sheet) with HCP structure in each direction to evaluate mechanical and surface properties and analyze microstructural changes during plastic deformation. We also evaluated forming limits of Ti direction in dome-type punch stretching test using a non-contact three-dimensional optical measurement system. As a result, it was revealed the pure titanium sheet has strong anisotropic property in yield stress, stress-strain curve and anisotropy coefficient according to direction. It was revealed that twinning occurred when the pure titanium sheet was plastic deformed, and tendency depends differently on direction and deformation mode. Moreover, this seems to affect the physical properties and deformation of the material. In addition, it was revealed the pure titanium sheet had different surface roughness changes in 0 degree direction and 90 degree direction due to large difference of anisotropy, and this affects the forming limit. It was revealed the forming limit of each direction obtained through the punch stretching test gave higher value in 90 degree direction compared with forming limit in 0 degree direction.

Periodicity Dependence of Magnetic Anisotropy and Magnetization of FeCo Heterostructure

  • Kim, Miyoung
    • Journal of Magnetics
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    • v.21 no.1
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    • pp.6-11
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    • 2016
  • The magnetic anisotropy energy (MAE) and the saturation magnetization $B_s$ of (110) $Fe_nCo_n$ heterostructures with n = 1, 2, and 3 are investigated in first-principles within the density functional theory by using the precise full-potential linearized augmented plane wave (FLAPW) method. We compare the results employing two different exchange correlation potentials, that is, the local density approximation (LDA) and the generalized gradient approximation (GGA), and include the spin-orbit coupling interaction of the valence states in the second variational way. The MAE is found to be enhanced significantly compared to those of bulk Fe and Co and the magnetic easy axis is in-plane in agreement with experiment. Also the MAE exhibits the in-plane angle dependence with a two-fold anisotropy showing that the $[1{\overline{I}}0]$ direction is the most favored spin direction. We found that as the periodicity increases, (i) the saturation magnetization $B_s$ decreases due to the reduced magnetic moment of Fe far from the interface, (ii) the strength of in-plane preference of spin direction increases yielding enhancement of MAE, and (iii) the volume anisotropy coefficient decreases because the volume increase outdo the MAE enhancement.

Effect of the Growing Temperature on the Induced Anisotropy of Mumetal Thin Film (Mumetal 박막의 성장온도가 유도자기이방성에 미치는 영향)

  • Lee, Young-Woo;Kim, Cheol-Gi;Kim, Chong-Oh
    • Journal of the Korean Magnetics Society
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    • v.12 no.2
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    • pp.46-50
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    • 2002
  • Soft magnetic Mumetal thin film was fabricated under magnetic field at various substrate temperatures. High vacuum annealing was carried out at 200$\^{C}$ during 1 hr. The in-plane anisotropy of Mumetal thin film was determined from hysteresis loops measured by VSM when the sample axis varied from the field direction from 0°to 180°. As the substrate temperature increases, the coercivity in easy direction decreases, but uniaxial anisotropy deviates from the field direction. After vacuum annealing at 200$\^{C}$ for 1 hr, the uniaxial anisotropy is improved irrespective of substrate temperature. When the substrate temperature was 50$\^{C}$, the anisotropy field is 4.3 Oe. As the substrate temperature increases anisotropy field decreases. Uniaxial anisotropy of Mumetal thin film was formed best at 50$\^{C}$ before and after annealing.

Acoustical Anisotropy Evaluation of Pure Titanium plate Using Neural Network (신경회로망을 이용한 순 티타늄판재의 음향이방성 평가)

  • Park, Hee-Dong;Yun, In-Sik;Yi, Won
    • Journal of the Korean Society for Precision Engineering
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    • v.28 no.9
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    • pp.1103-1109
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    • 2011
  • This research quantitatively confirmed an acoustical anisotropy that exists in a pure titanium plate from the signal of ultrasonic flow detection and suggested a new way to evaluate the acoustical anisotropy by inputting acquired characteristic of ultrasound signal into the neutral network. Using the fact with the suggested method that the characteristic of ultrasound signal is shown differently depending on the pure titanium plate's rolling direction, the neural network was constructed by extracting the characteristic that can decide each direction of $0^{\circ}$, $45^{\circ}$, and $90^{\circ}$ with waveform analysis program. As a result of inputting the characteristic of ultrasound signal acquired from a random rolling direction into the neural network that was built like this, it showed a pattern recognition rate higher than 95% on directions of $0^{\circ}$, $45^{\circ}$, $90^{\circ}$.

Anisotropy of Magnetic Susceptibility (AMS) of Anorthositic Rocks in the Hadong-Sanchong Area (하동-산청지역에 분포하는 회장암질암에 대한 대자율 비등방성 연구)

  • Kim, Seong Uk;Choe, Eun Gyeong;Kim, In Su
    • Journal of the Korean Geophysical Society
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    • v.2 no.3
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    • pp.169-178
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    • 1999
  • Low-field anisotropy of magnetic susceptibility (AMS) was measured with 247 samples from 17 sites of Pre-Cambrian anorthositic rocks in the Hadong-Sanchong area, southwestern part of the Ryongnam Block. Tectonic stress-direction is defined by the minimum susceptibility (k3) direction, and flow-direction by the maximum susceptibility (k1) direction. Five sites rendered self-consistent NW-SE site-mean tectonic stress-direction. Even though a general fold test for every site was not possible due to the homoclinal nature of the bedding attitudes, a site with various bedding attitudes shows far better clustering of the k3-direction before the bedding-tilt correction. The in-situ NW-SE tectonic stress-direction is consistent over the study area and compatible with petrographic foliation observed in metamorphic rocks in and arround the study area, suggesting a regional compressive force acted after the emplacement of the anorthositic rocks. On the other hand, flow-directions obtained from six sites varies from site to site. Strong-field IRM experiments show predominance of titanomagnetites over a small amount of hematite in some samples.

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