• Title/Summary/Keyword: Growth exponent

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A Study of Fatigue Crack Threshold Characteristics in Pressure Vessel Steel at Low Temperature (압력용기용 강의 저온 피로크랙 하한계 특성에 관한 연구(II))

  • 박경동;김정호;정찬기;하경준
    • Journal of Ocean Engineering and Technology
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    • v.14 no.3
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    • pp.78-83
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    • 2000
  • In this study, CT specimens were prepared from AST SA516 Gr. 70 which was used for pressure vessel plates for room and low temperature service. And we got the following characteristics from fatigue crack growth test carried out in the environment of room and low temperature at 25$^{\circ}C $, -60$^{\circ}C $, -80$^{\circ}C $ and -100$^{\circ}C $ and in the range of stress ratio of 0.05, 0.3 by means of opening mode displacement. At the constant stress ratio, the threshold stress intensity factor range ${\delta} K_{th}$ in the early stage of fatigue crack growth (Region I) and stress intensity factor range $\delta $K in the stable of fatigue crack growth (Region II) were increased in proportion to descending temperature. It was assumed that the fatigue resistance characteristics and fracture strength at low temperature is considerable higher than that of room temperature in the early stage and stable of fatigue crack growth region. The straight line slope relation of logarithm da/dN -$\delta $K in Region II, that is, the fatigue crack growth exponent m increased with descending temperature at the constant stress ratio. It was assumed that the fatigue crack growth rate da/dN is rapid in proportion to descending temperature in Region II and the cryogenic-brittleness greatly affect a material with decreasing temperature.

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A Study on the Fatigue Crack Propagation Threshold Characteristic in Steel of Pressure Vessel at Low Temperature (압력용기용 강의 저온 피로크랙전파 하한계 특성에 관한 연구)

  • 박경동;박상오
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2001.05a
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    • pp.326-331
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    • 2001
  • In this study. CT specimens were prepared from ASME SA5l6 which was used for pressure vessel plates for room and low temperature service. And we got the following characteristics from fatigue crack growth test carried out in the environment of room and low temperature at $25^{\circ}C$, -3$0^{\circ}C$, -6$0^{\circ}C$, -8$0^{\circ}C$, -10$0^{\circ}C$ and -12$0^{\circ}C$ in the range of stress ratio of 0.1 by means of opening mode displacement. At the constant stress ratio, the threshold stress intensity factor range ΔKsub/th/ in the early stage of fatigue crack growth ( Region I) and stress intensity factor range ΔK in the stable of fatigue crack growth ( Region II) was increased in proportion to descend temperature. It assumed that the fatigue resistance characteristics and fracture strength at low temperature is considerable higher than that of room temperature in the early stage and stable of fatigue crack growth region. The straight line slope relation of logarithm da.dN -ΔK in RegionII, that is, the fatigue crack growth exponent m increased with descending temperature at the constant stress ratio. It assumed that the fatigue crack growth rate da/dN is rapid in proportion to descend temperature in Region II and the cryogenic-brittleness greatly affect a material with decreasing temperature.

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A combined stochastic diffusion and mean-field model for grain growth

  • Zheng, Y.G.;Zhang, H.W.;Chen, Z.
    • Interaction and multiscale mechanics
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    • v.1 no.3
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    • pp.369-379
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    • 2008
  • A combined stochastic diffusion and mean-field model is developed for a systematic study of the grain growth in a pure single-phase polycrystalline material. A corresponding Fokker-Planck continuity equation is formulated, and the interplay/competition of stochastic and curvature-driven mechanisms is investigated. Finite difference results show that the stochastic diffusion coefficient has a strong effect on the growth of small grains in the early stage in both two-dimensional columnar and three-dimensional grain systems, and the corresponding growth exponents are ~0.33 and ~0.25, respectively. With the increase in grain size, the deterministic curvature-driven mechanism becomes dominant and the growth exponent is close to 0.5. The transition ranges between these two mechanisms are about 2-26 and 2-15 nm with boundary energy of 0.01-1 J $m^{-2}$ in two- and three-dimensional systems, respectively. The grain size distribution of a three-dimensional system changes dramatically with increasing time, while it changes a little in a two-dimensional system. The grain size distribution from the combined model is consistent with experimental data available.

Retrogradation of Dilute Starch Dispersion (희석 전분 현탁액의 노화)

  • Kim, Nam-Soo;Nam, Young-Jung;Shin, Dong-Hwa
    • Korean Journal of Food Science and Technology
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    • v.20 no.1
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    • pp.13-18
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    • 1988
  • Retrogradation characteristics of 1% dilute rice starch dispersion were analyzed. The retrogradation was increased with prolonged storage, however, the trend in increase was more conspicuous during the initial phase of retrogradation period. The Avrami exponent, rate constant, and time constant of 1% dilute Chuchong starch dispersion were 0.96, 0.21 $days^{-1}$, and 4.77 days, respectively As the Avrami exponent approaches unity (n=1), it is confirmed that the dilute rice starch dispersion retrogrades following the formation of a rod-like growth of crystals from instantaneous nuclei. When the retrogradation process of dilute rice starch dispersion was traced, the three-dimensional structure of crystals which had different contour from native stach was formed.

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Microstructure and Electrical Properties of Zn-Pr-Co-Y-M(M=Ni, Mg, Cr) Oxide-Based Varistors (Zn-Pr-Co-Y-M(M=Ni, Mg, Cr) 산화물계 바리스터의 미세구조 및 전기적 특성)

  • Nahm Choon-Woo;Park Jong-Ah
    • Korean Journal of Materials Research
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    • v.14 no.6
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    • pp.420-424
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    • 2004
  • The microstructure and electrical properties of $ZnO-Pr_{6}$$O_{11}$ $-CoO-Y_2$$O_3$-based varistors were investigated with and without various metal oxide additives (NiO, MgO, and $Cr_2$$O_3$). The addition of NiO promoted the grain growth while that of Cr$_2$O$_3$ decreased average grain size. Thereby, the varistor voltage was higher in $Cr_2$$O_3$-added composition. Among $ZnO-Pr_{6}$ $O_{11}$ /$-CoO-Y_2$$O_3$-based varistors, the$ Cr_2$$O_3$-added varistor exhibited the highest nonlinear exponent (51.2), the lowest leakage current (1.3 $\mu$A), and the lowest dielectric dissipation factor (0.0433).

海水環境에서 鋼 熔接部의 環境强度評價에 關한 硏究 II

  • 나의균;임재규;조규종;정세희
    • Journal of Welding and Joining
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    • v.7 no.1
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    • pp.51-58
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    • 1989
  • The purpose of this study is to investigate the corrosion fatigue crack growth of PWTHT specimens(SS41, SM53B) which are the compact tension ones extracted from the muti-passed weldment and weld block. The corrosion fatigue test was done at the cyclic stress frequency of 3Hz in 3.5% NaCl solution. The results are as follows. 1. Corrosion fatigue crack growth of as-weld was slower than that of base metal. 2. In the low .DELTA.K region, the effect of corrosion environment on crack growth was obvious. However, the corrosion effect decreased with the .DELTA.K slowly. 3. The behaviour of fatigue and corrosion fatigue crack growth depended on the material, heat treatment as well as experimental conditions. 4. Corrosion fatigue crack growth of PWHT specimens(SS41, SM53B) subjected to 1/4hr, was increased compared with that of as-weld. 5. There was a tendency that the exponent value(m) obtained in 3.5% NaCl solution was decreased in comparison with that in air, and the material constant(C)was increased for Paris equation, da/dN=C((.DELTA.K))$^{m}$ , compared with that in air considerably.

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Growth Kinetics of Intermetallic Compound on Sn-3.5Ag/Cu, Ni Pad Solder Joint with Isothermal Aging (등온시효에 따른 Sn-3.5Ag 솔더 접합부의 금속간 화합물 성장에 관한 연구)

  • 이인영;이창배;정승부;서창제
    • Journal of Welding and Joining
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    • v.20 no.1
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    • pp.97-102
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    • 2002
  • The growth kinetics of intermetallic compound layers formed between the eutectic Sn-3.5Ag solder and the Cu and Ni/Cu pad by solid stateisothermal aging were examined. The interfacial reaction between the eutectic Sn-3.5Ag solder and the Cu and Ni/Cu pad was investigated at 70, 120, 150, $170^{\circ}C$ for various times. The intermetallic compound layer was composed of two phase: $Cu_6Sn_5$(${\varepsilon}-phase$) adjacent to the solder and $Cu_6Sn_5$(${\varepsilon}-phase$) adjacent to the copper and on solder/Ni pad the intermetallic compound layer was $Ni_3Sn_4$. Because the values of time exponent(n) have approximately 0.5, the layer growth of the intermetallic compound was mainly controlled by volume diffusion over the temperature range studied. The apparent activation energy for layer growth of total Cu-Sn($Cu_6Sn_5 + Cu_6Sn$), $Cu_6Sn_5$, $Cu_3Sn$ and $Ni_3Sn_4$ intermetallic compound were 64.82kJ/mol, 48.53kJ/mol, 89.06kJ/mol and 71.08kJ/mol, respectively.

Different Coefficients and Exponents for Metabolic Body Weight in a Model to Estimate Individual Feed Intake for Growing-finishing Pigs

  • Lee, S.A.;Kong, C.;Adeola, O.;Kim, B.G.
    • Asian-Australasian Journal of Animal Sciences
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    • v.29 no.12
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    • pp.1756-1760
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    • 2016
  • Estimation of feed intake (FI) for individual animals within a pen is needed in situations where more than one animal share a feeder during feeding trials. A partitioning method (PM) was previously published as a model to estimate the individual FI (IFI). Briefly, the IFI of a pig within the pen was calculated by partitioning IFI into IFI for maintenance ($IFI_m$) and IFI for growth. In the PM, $IFI_m$ is determined based on the metabolic body weight (BW), which is calculated using the coefficient of 106 and exponent of 0.75. Two simulation studies were conducted to test the hypothesis that the use of different coefficients and exponents for metabolic BW to calculate $IFI_m$ improves the accuracy of the estimates of IFI for pigs, and that PM is applied to pigs fed in group-housing systems. The accuracy of prediction represented by difference between actual and estimated IFI was compared using PM, ratio (RM), or averaging method (AM). In simulation studies 1 and 2, the PM estimated IFI better than the AM and RM during most of the periods (p<0.05). The use of 0.60 as the exponent and the coefficient of 197 to calculate metabolic BW did not improve the accuracy of the IFI estimates in both simulation studies 1 and 2. The results imply that the use of $197kcal{\times}kg\;BW^{0.60}$ as metabolizable energy for maintenance in PM does not improve the accuracy of IFI estimations compared with the use of $106kcal{\times}kg\;BW^{0.75}$ and that the PM estimates the IFI of pigs with greater accuracy compared with the averaging or ratio methods in group-housing systems.

A Study on Developing the Optimal Sizing System for Ready-to-wear - Based on Elementary School Girls - (기성복의 최적 사이즈 시스템 개발을 위한 연구 - 학령기 여아를 중심으로 -)

  • Kim Ran-do;Lee Sang-youl;Kim Seon-young;Nam Yun-ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.29 no.8 s.145
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    • pp.1102-1113
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    • 2005
  • The propose of this study is to develop the optimal sizing system of ready-to-wear f3r elementary school girls using a newly invented statistical technique. The body measurements was classified by the method that equalizes the distribution of the subjects using the probability density function, to theoretically systemize a method to determine a size range of ready-to-wear for elementary school girls between 6 to 12 years old. The statistical method were 1) The total of 11 height groups, which size interval from one another is 6 cm that is an average height gap between each age. 2) In order to determine an approximate figure (m ${\times}$ n) to establish the appropriate sizes far each height group that fit to the combinations of bust and hip girth, which based on their means and standard deviations on the probability density curve to produce the standard normal distribution. 3) m and n were aligned by 4cm -the grading increments used for patterns making- and determined the size ranges by confirming the approximate figures of m and n. 4) The representative values were determined by an area ratio calculated by dividing the area determined from the range of bust and hip girth with the representative value. Considering the characteristics of subjects' distribution, the area ratios was used. 5) Weight was calculated by seeking a growth exponent for each age and multiplying it by the number of girls that fit to each size range. As sections that show the highest weight are more likely sought by the consumers, these sections were determined as the optimal size standards. 6) This optimal sizing system consists of sizes determined by the optimal size standards and its sizes are marked with height, bust and hip girth.

Development the Optimal Size System and Application for Children's Ready-to-wear -Based on Elementary School Boys- (아동복의 최적 사이즈 시스템 개발과 활용 -학령기 남아를 중심으로-)

  • Kim, Seon-Young;Nam, Yun-Ja
    • Journal of the Korean Society of Clothing and Textiles
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    • v.31 no.3 s.162
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    • pp.364-375
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    • 2007
  • The propose of this study is to develop the optimal sizing system of ready-to-wear far elementary school boys using a newly invented statistical technique. The body measurements was classified by the method that equalizes the distribution of the subjects using the probability density function, to theoretically systemize a method to determine a size range of ready-to-wear for elementary school boys between 7 to 12 yeiws old. The results were as follows: 1. Height group includes 9 types of heights: 115, 120, 125, 130, 135, 140, 145, 150 and 155. 2. In the case of short children's groups, the variance in bust girth and waist girth is narrow. The people cluster together around the average. The size deviation of ready-to-wear is small. 3. In the case of tall children's groups, the variance in bust girth and waist girth is wide. The people spread widely around the average. The size deviation of ready-to-wear is large. 4. The optimal size system is suggested considering the weight of growth exponent of children according to their respective ages. Clothing companies can selectively choose sizes that meet the target of their brands. 5. It suggests the body sizes chart, which based on their means by the middle size children for each height group, so that clothing companies make use of it.