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The Phase Space Analysis of 3D Vector Fields (3차원 벡터 필드의 위상 공간 분석)

  • Jung, Il-Hong;Kim, Yong Soo
    • Journal of Digital Contents Society
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    • v.16 no.6
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    • pp.909-916
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    • 2015
  • This paper presents a method to display the 3D vector fields by analyzing phase space. This method is based on the connections between ordinary differential equations and the topology of vector fields. The phase space analysis should be geometric interpolation of an autonomous system of equation in the form of the phase space. Every solution of it system of equations corresponds not to a curve in a space, but the motion of a point along the curve. This analysis is the basis of this paper. This new method is required to decompose the hexahedral cell into five or six tetrahedral cells for 3D vector fields. The critical points can be easily found by solving a simple linear system for each tetrahedron. The tangent curves can be integrated by finding the intersection points of an integral curve traced out by the general solution of each tetrahedron and plane containing a face of the tetrahedron.

A Study o the Geological Occurrence, the Mineralogical and Physico-chemical Properties of the Sericite Ore from the Yangbuk Area, Kyungsangbuk-do (경북 양북지역산 견운모광석의 물성 및 부존산상)

  • 이동진;고상모
    • Journal of the Mineralogical Society of Korea
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    • v.11 no.2
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    • pp.85-96
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    • 1998
  • The sericite ore is formed by the hydrothermal alteration of rhyodacitic welded tuff. The alteration zone of the host rock can be classified into four types based on the mineral assemblages ; sericite, quartz-sericite, silicified and propylite zone. The sericite ore mainly occurs as vein types and fault clay along the fault plane in the quartz-sericite zone. Mineral components of the sericite ore are mainly sericite with minor diaspore, corundum and pyrite. The sericitic porcelaineous ore is mainly composed of quartz and sericite. Accessory minerals are muscovite, diaspore, sphene, corundum, pyrite, iron-oxides and etc. The chemical compositions of K2O, Al2O3, and ignition loss in the sericite ore increase largely than that of the host rock, while the compositions of SiO2, Na2O and Fe2O3 decrease. XRD patterns of the heat-treated sericite ores show the formation of mullite at $1,200^{\circ}C$. and the diaspore-bearing sericite ore forms mullite and corundum at $1,200^{\circ}C$. The differential thermal analysis of the sericite ores show small endothermic peak at 645~668$^{\circ}C$. and the diaspore-bearing sericite ore shows a strong endothermic peak at $517^{\circ}C$. It indicates that the decomposition of diaspore appear at lower temperature than that of sericite. The thermal expansivity of the sericite ores show the similar pattern. The sericite ores show the thermal expansivity of 3.3~4.7% at 900$^{\circ}C$ and 0.39~0.75% at 1,20$0^{\circ}C$, respectively. DTA-TG curves of the sericite ores show closely relations with the thermal expansivity.

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Design of Pile Foundations Considering Negative Skin Friction (부마찰력을 고려한 말뚝기초 설계)

  • Kim Ju-Hyong;Kwon Oh-Sung;Kim Myoug-Mo
    • Journal of the Korean Geotechnical Society
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    • v.21 no.5
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    • pp.65-74
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    • 2005
  • The negative skin friction on piles, which are installed in currently consolidating soft deposits, creates significant problems on the stability of pile foundations. This study investigated whether or not the pile foundation designs were appropriate in soft deposits with large amount of consolidation settlement. The final settlements of the grounds along the pile depth were estimated by the soil parameters obtained from the laboratory tests and by the field-measured settlement curves, if they were available. The displacement of the piles along the pile depth was estimated by both the load transfer method and the numerical method. Both methods gave similar locations of neutral planes and magnitudes of the maximum axial forces on the piles. The movements of the ground and the piles were compared to calculate the down drag acting on piles. For the piles whose bearing capacities were less than the design loads including the down drag, slip layer coatings and/or incrementing of the pile penetration depth into the bearing stratum were proposed to improve the pile capacities.

Test and simulation of circular steel tube confined concrete (STCC) columns made of plain UHPC

  • Le, Phong T.;Le, An H.;Binglin, Lai
    • Structural Engineering and Mechanics
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    • v.75 no.6
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    • pp.643-657
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    • 2020
  • This study presents experimental and numerical investigations on circular steel tube confined ultra high performance concrete (UHPC) columns under axial compression. The plain UHPC without fibers was designed to achieve a compressive strength ranged between 150 MPa and 200 MPa. Test results revealed that loading on only the UHPC core can generate a significant confinement effect for the UHPC core, thus leading to an increase in both strength and ductility of columns, and restricting the inherent brittleness of unconfined UHPC. All tested columns failed by shear plane failure of the UHPC core, this causes a softening stage in the axial load versus axial strain curves. In addition, an increase in the steel tube thickness or the confinement index was found to increase the strength and ductility enhancement and to reduce the magnitude of the loss of load capacity. Besides, steel tube with higher yield strength can improve the post-peak behavior. Based on the test results, the load contribution of the steel tube and the concrete core to the total load was examined. It was found that no significant confinement effect can be developed before the peak load, while the ductility of post-peak stage is mainly affected by the degree of the confinement effect. A finite element model (FEM) was also constructed in ABAQUS software to validate the test results. The effect of bond strength between the steel tube and the UHPC core was also investigated through the change of friction coefficient in FEM. Furthermore, the mechanism of circular steel tube confined UHPC columns was examined using the established FEM. Based on the results of FEM, the confining pressures along the height of each modeled column were shown. Furthermore, the interaction between the steel tube and the UHPC core was displayed through the slip length and shear stresses between two surfaces of two materials.

Effects of Lanthanides-Substitution on the Ferroelectric Properties of Bismuth Titanate Thin Films Prepared by MOCVD Process

  • Kim, Byong-Ho;Kang, Dong-Kyun
    • Journal of the Korean Ceramic Society
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    • v.43 no.11 s.294
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    • pp.688-692
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    • 2006
  • Ferroelectric lanthanides-substituted $Bi_4Ti_3O_{12}$ $(Bi_{4-x}Ln_xTi_3O_{12}, BLnT)$ thin films approximately 200 nm in thickness were deposited by metal organic chemical vapor deposition onto Pt(111)/Ti/SiO$_2$/Si(100) substrates. Many researchers reported that the lanthanides substitution for Bi in the pseudo-perovskite layer caused the distortion of TiO$_6$ octahedron in the a-b plane accompanied with a shift of the octahedron along the a-axis. In this study, the effect of lanthanides (Ln=Pr, Eu, Gd, Dy)-substitution and crystallization temperature on their ferroelectric properties of bismuth titanate $(Bi_4Ti_3O_{12}, BIT)$ thin films were investigated. As BLnT thin films were substituted to lanthanide elements (Pr, Eu, Gd, Dy) with a smaller ionic radius, the remnant polarization (2P$_r$) values had a tendency to increase and made an exception of the Eu-substituted case because $Bi_{4-x}Eu_xTi_3O_{12}$ (BET) thin films had the smaller grain sizes than the others. In this study, we confirmed that better ferroelectric properties can be expected for films composed of larger grains in bismuth layered peroskite materials. The crystallinity of the thin films was improved and the average grain size increased as the crystallization temperature,increased from 600 to 720$^{\circ}C$. Moreover, the BLnT thin film capacitor is characterized by well-saturated polarization-electric field (P-E) curves with an increase in annealing temperature. The BLnT thin films exhibited no significant degradation of switching charge for at least up to $1.0\times10^{11}$ switching cycles at a frequency of 1 MHz. From these results, we can suggest that the BLnT thin films are the suitable dielectric materials for ferroelectric random access memory applications.

Extrapolation of Hepatic Concentrations of Industrial Chemicals Using Pharmacokinetic Models to Predict Hepatotoxicity

  • Yamazaki, Hiroshi;Kamiya, Yusuke
    • Toxicological Research
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    • v.35 no.4
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    • pp.295-301
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    • 2019
  • In this review, we describe the absorption rates (Caco-2 cell permeability) and hepatic/plasma pharmacokinetics of 53 diverse chemicals estimated by modeling virtual oral administration in rats. To ensure that a broad range of chemical structures is present among the selected substances, the properties described by 196 chemical descriptors in a chemoinformatics tool were calculated for 50,000 randomly selected molecules in the original chemical space. To allow visualization, the resulting chemical space was projected onto a two-dimensional plane using generative topographic mapping. The calculated absorbance rates of the chemicals based on cell permeability studies were found to be inversely correlated to the no-observed-effect levels for hepatoxicity after oral administration, as obtained from the Hazard Evaluation Support System Integrated Platform in Japan (r = -0.88, p < 0.01, n = 27). The maximum plasma concentrations and the areas under the concentration-time curves (AUC) of a varied selection of chemicals were estimated using two different methods: simple one-compartment models (i.e., high-throughput toxicokinetic models) and simplified physiologically based pharmacokinetic (PBPK) modeling consisting of chemical receptor (gut), metabolizing (liver), and central (main) compartments. The results obtained from the two methods were consistent. Although the maximum concentrations and AUC values of the 53 chemicals roughly correlated in the liver and plasma, inconsistencies were apparent between empirically measured concentrations and the PBPK-modeled levels. The lowest-observed-effect levels and the virtual hepatic AUC values obtained using PBPK models were inversely correlated (r = -0.78, p < 0.05, n = 7). The present simplified PBPK models could estimate the relationships between hepatic/plasma concentrations and oral doses of general chemicals using both forward and reverse dosimetry. These methods are therefore valuable for estimating hepatotoxicity.

Experimental Study of Hybrid Super Coating (HSC) and Cast Reinforcement for Masonry Wall (하이브리드 슈퍼코팅(HSC)과 유리섬유를 통한 조적조 내진보강 연구)

  • Lee, Ga Yoon;Moon, A hea;Lee, Seung Jun;Kim, Jae Hyun;Lee, Kihak
    • Journal of the Earthquake Engineering Society of Korea
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    • v.25 no.5
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    • pp.213-221
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    • 2021
  • Many Korean domestic masonry structures constructed since 1970 have been found to be vulnerable to earthquakes because they lack efficient lateral force resistance. Many studies have shown that the brick and mortar suddenly experience brittle fracture and out-of-plane collapse when they reach the inelastic range. This study evaluated the seismic retrofitting of non-reinforced masonry with Hybrid Super Coating (HSC) and Cast, manufactured using glass fiber. Four types of specimen original specimen (BR-OR), one layered HSC (BR-HS-O), two-layered HSC (BR-HS-B), one layered HSC, and Cast (BR-CT-HS-O) were constructed and analyzed using compression, flexural tensile, diagonal compression, and triplet tests. The specimen responses were presented and discussed in load-displacement curves, maximum strength, and crack propagation. The compressive strength of the retrofit specimens slightly increased, while the flexural tensile strength of the retrofit specimens increased significantly. In addition, the HSC and Cast also produced a considerable increase in the ductile response of specimens before failure. Diagonal compression test results showed that HSC delayed brittle cracks between the mortar and bricks and resulted in larger displacement before failure than the original brick. The triplet test results confirmed that the bonding strength of the retrofit specimens also increased. The application of HSC and Cast was found to restrain the occurrence of brittle failure effectively and delayed the collapse of masonry wall structures.

Failure Criteria of a 6-Inch Carbon Steel Pipe Elbow According to Deformation Angle Measurement Positions (변형각의 측정 위치에 따른 6인치 탄소강관엘보의 파괴 기준)

  • Yun, Da Woon;Jeon, Bub Gyu;Chang, Sung Jin;Park, Dong Uk;Kim, Sung Wan
    • Journal of the Earthquake Engineering Society of Korea
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    • v.26 no.1
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    • pp.13-22
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    • 2022
  • This study proposes a low-cycle fatigue life derived from measurement points on pipe elbows, which are components that are vulnerable to seismic load in the interface piping systems of nuclear power plants that use seismic isolation systems. In order to quantitatively define limit states regarding leakage, i.e., actual failure caused by low-cycle fatigue, in-plane cyclic loading tests were performed using a sine wave of constant amplitude. The test specimens consisted of SCH40 6-inch carbon steel pipe elbows and straight pipes, and an image processing method was used to measure the nonlinear behavior of the test specimens. The leakage lines caused by low-cycle fatigue and the low-cycle fatigue curves were compared and analyzed using the relationship between the relative deformation angles, which were measured based on each of the measurement points on the straight pipe, and the moment, which was measured at the center of the pipe elbow. Damage indices based on the combination of ductility and dissipation energy at each measurement point were used to quantitatively express the time at which leakage occurs due to through-wall cracking in the pipe elbow.

Performance control analysis of concrete-filled steel tube sepa-rated spherical joint wind power tower

  • Yang Wen;Guangmao Xu;Xiazhi Wu;Zhaojian Li
    • Structural Engineering and Mechanics
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    • v.87 no.2
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    • pp.137-149
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    • 2023
  • In this study, to explore the working performance of the CFST split spherical node wind power tower, two groups of CFST split spherical joint plane towers with different web wall thicknesses and a set of space systems were analyzed. The tower was subjected to a low-cycle repeated load test, and the hysteresis and skeleton curves were analyzed. ABAQUS finite element simulation was used for verification and comparison, and on this basis parameter expansion analysis was carried out. The results show that the failure mode of the wind power tower was divided into weld tear damage between belly bar, high strength bolt thread damage and belly rod flexion damage. In addition, increasing the wall thickness of the web member could render the hysteresis curve fuller. Finally, the bearing capacity of the separated spherical node wind power tower was high, but its plastic deformation ability was poor. The ultimate bearing capacity and ductility coefficient of the simulated specimens are positively correlated with web diameter ratio and web column stiffness ratio. When the diameter ratio of the web member was greater than 0.13, or the stiffness ratio γ of the web member to the column was greater than 0.022, the increase of the ultimate bearing capacity and ductility coefficient decreased significantly. In order to maximize the overall mechanical performance of the tower and improve its economy, it was suggested that the diameter ratio of the ventral rod be 0.11-0.13, while the stiffness ratio γ should be 0.02-0.022.

Correlations between the Clinical and Ultrasonographic Parameters of Congenital Muscular Torticollis without a Sternocleidomastoid Mass

  • Jisun Hwang;Eun Kyung Khil;Soo Jin Jung;Jung-Ah Choi
    • Korean Journal of Radiology
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    • v.21 no.12
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    • pp.1374-1382
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    • 2020
  • Objective: To determine whether ultrasonography at initial presentation can help assess the clinical severity of congenital muscular torticollis (CMT) in infants without a sternocleidomastoid muscle (SCM) mass. Materials and Methods: This retrospective study included 71 infants aged less than 12 months (4.1 ± 2.3 months) with non-mass CMT. The clinical severity was divided into three grades (groups 1-3) based on the degree of lateral head bending or cervical rotation. The difference (SCM-D) and ratio (SCM-R) between the maximal thickness of the affected and non-affected SCMs were obtained using transverse and longitudinal ultrasonography. The sonographic echotexture and echogenicity of the involved SCM were reviewed. Results: A significant difference was observed in the SCM-D (0.42 ± 0.30 mm in group 1; 0.74 ± 0.50 mm in group 2; 1.14 ± 0.85 mm in group 3; p = 0.002) and SCM-R (1.069 ± 0.067 in group 1; 1.129 ± 0.087 in group 2; 1.204 ± 0.150 in group 3; p = 0.001) among the groups when measured along the longitudinal but not along the transverse ultrasonography plane. The areas under the curves of the SCM-R and SCM-D measured by longitudinal ultrasonography were 0.731 (p < 0.001) and 0.731 (p < 0.001) for group 1 versus groups 2-3. The proportions of heterogeneous echotexture or hyperechogenicity in the involved SCM did not differ significantly among the three clinical groups (all p > 0.05). Conclusion: Ultrasonography can aid in assessing the clinical severity of CMT in infants without an SCM mass at the time of initial diagnosis. The SCM-R and SCM-D helped grade the clinical severity when obtained by longitudinal scan.