• Title/Summary/Keyword: growth coefficient

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A Stochastic Analysis for Crack Growth Retardation Behavior and Prediction of Retardation Cycle Under Single Overload (단일과대하중하에서 피로균열진전지연거동 및 지연수명의 확률론적 해석)

  • Shim, Dong-Suk;Kim, Jung-Kyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.7 s.166
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    • pp.1164-1172
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    • 1999
  • In this study, to investigate the fatigue crack retardation behavior and the variability of retardation cycles, fatigue crack growth tests were conducted on 7075-T6 aluminum alloy under single tensile overload. A retardation coefficient, D was introduced to describe fatigue crack retardation behavior and a random variable, Z to describe the variability of fatigue crack growth. The retardation coefficient was separately formulated according to retardation behavior which is composed of delayed retardation part and retardation part. The random variable, Z was evaluated from experimental data which was obtained from fatigue crack growth tests under constant amplitude load. Using these variables, a probabilistic model was developed on the basis of the modified Forman's equation, and retardation behavior and cycles were predicted under certain overload condition. The predicted retardation curve well agrees with the trend of experimental crack retardation behavior. And this model well predicts the scatter of experimental retardation cycles.

Inbreeding affected differently on observations distribution of a growth trait in Iranian Baluchi sheep

  • Binabaj, Fateme Bahri;Farhangfar, Seyyed Homayoun;Jafari, Majid
    • Animal Bioscience
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    • v.34 no.4
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    • pp.506-515
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    • 2021
  • Objective: Initial consequence of inbreeding is inbreeding depression which impairs the performance of growth, production, health, fertility and survival traits in different animal breeds and populations. The effect of inbreeding on economically important traits should be accurately estimated. The effect of inbreeding depression on growth traits in sheep has been reported in many breeds. Based on this, the main objective of the present research was to evaluate the impact of inbreeding on some growth traits of Iranian Baluchi sheep breed using quantile regression model. Methods: Pedigree and growth traits records of 13,633 Baluchi lambs born from year 1989 to 2016 were used in this research. The traits were birth weight, weaning weight, six-month weight, nine-month weight, and yearling weight. The contribution, inbreeding and co-ancestry software was used to calculate the pedigree statistics and inbreeding coefficients. To evaluate the impact of inbreeding on different quantiles of each growth trait, a series of quantile regression models were fitted using QUANTREG procedure of SAS software. Annual trend of inbreeding was also estimated fitting a simple linear regression of lamb's inbreeding coefficient on the birth year. Results: Average inbreeding coefficient of the population was 1.63 percent. Annual increase rate of inbreeding of the flock was 0.11 percent (p<0.01). The results showed that the effect of inbreeding in different quantiles of growth traits is not similar. Also, inbreeding affected differently on growth traits, considering lambs' sex and type of birth. Conclusion: Quantile regression revealed that inbreeding did not have similar effect on different quantiles of growth traits in Iranian Baluchi lambs indicating that at a given age and inbreeding coefficient, lambs with different sex and birth type were not equally influenced by inbreeding.

Theory and technology of growing striation-free crystals

  • Scheel, Hans J.
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.14 no.4
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    • pp.174-186
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    • 2004
  • Striations are growth-induced inhomogeneities which hamper the applications of solid-solution crystals and of doped crystals in numerous technologies. Thus the optimized performance of solid solutions often can not be exploited. The inhomogeneity problem can be solved in specific cases by achieving a distribution coefficient one in growth from melts and from solutions. Macrostep-induced striations can be suppressed by controlling the growth mode, by achieving growth on facets thereby preventing step bunching. Thermal striations are commonly assumed to be caused by convective instabilities so that reduced convection by microgravity or by damping magnetic fields was and is widely attempted to reduce such inhomogeneities. Here it will be shown that temperature fluctuations at the growth interface cause striations, and that hydrodynamic fluctuations in a quasi-isothermal growth system do not cause striations. The theoretically derived conditions were experimentally established and allowed the growth of striation-free crystals of $KTa_{1-x}Nb_xO_3$"KTN" solid solutions. Hydrodynamic variations from the accelerated crucible rotation technique ACRT did not cause striations as long as the temperature was controlled within $0.03^{\circ}$ at $1200^{\circ}C$ growth temperature. Alternative approaches to solve or reduce the segregation and striation problems in growth from melts and from solutions are discussed as well.

Numerical Simulation of Growth/Decay of Algae using Equivalent Tracking Method of Decay Coefficient (감쇠계수 등가추적법을 이용한 조류 생장/소멸 수치모의)

  • Park, Inhwan;Kim, Sung Hoon;Song, Chang Geun
    • Journal of the Korean Society of Safety
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    • v.33 no.4
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    • pp.78-83
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    • 2018
  • Previous researches on the analysis of algae concentration were restricted to applying single-valued decay coefficient during simulation period, and the accuracy as well as the applicability were severely challenged. In this study, an equivalent tracking method of decay coefficient was proposed by introducing the time-series decay coefficients and restart option. Dye module in EFDC model was employed to route the temporal variation of Chl-a concentration. It was shown that the simulation results can be significantly improved up to 46% when the equivalent tracking method was activated.

A Statistical Analysis of Fatigue Crack Growth under Constant-Amplitude Loads (일정진폭하중하의 피로균열전파의 통계적 특성)

  • Jeong, Hyeon-Cheol;Lim, Young-Kyu;Kim, Seon-Jin
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2002.05a
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    • pp.104-109
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    • 2002
  • In this paper, a statistical analysis of fatigue crack growth behavior under constant amplitude loads has been carried out. Fatigue crack growth tests were conducted on sixteen pre-cracked compact tension (CT) specimens of the pressure vessel (SPV50) steel in controlled identical load and environmental conditions. The assessment of the statistical distribution of fatigue crack growth experimental data obtained from SPV50 steel was studied and also the correlation of the parameter C and m in the Paris-Erdogan law was discussed. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Weibull. The fatigue crack growth rate seems to follow the 3-parameter Weibull and the log-normal distribution. The coefficient of variation (COV) of fatigue crack growth life was observed to decrease as the crack grows. A strong negative linear correlation exists between the coefficient C and the exponent m in Paris model. Fatigue crack growth rate data shows a normal distribution for both m and logC.

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Probabilistic Fatigue Crack Growth Behavior under Constant Amplitude Loads (일정진폭하중하의 확률론적 피로균열전파거동)

  • Jeong, Hyeon-Cheol;Kim, Seon-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.6
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    • pp.923-929
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    • 2003
  • In this paper, an analysis of fatigue crack growth behavior from a statistical point of view has been carried out. Fatigue crack growth tests were conducted on sixteen pre-cracked compact tension (CT) specimens of the pressure vessel (SPV50) steel in controlled identical load and environmental conditions. The assessment of the statistical distribution of fatigue crack growth experimental data obtained from SPV50 steel was studied and also the correlation of the parameter C and m in the Paris-Erdogan law was discussed. The probability distribution function of fatigue crack growth life seems to follow the 3-parameter Weibull. The fatigue crack growth rate seems to follow the 3-parameter Weibull and the log-normal distribution. The coefficient of variation (COV) of fatigue crack growth life was observed to decrease as the crack grows. Fatigue crack growth rate data shows a normal distribution for both m and logC. A strong negative linear correlation exists between the coefficient C and the exponent m.

Siliconizing of Bonded Couple between Fe-5.8at.%Si and(Si Wafer or Fe-Si Alloy) (Fe-5.8 at.%Si과 (Si 웨이퍼 또는 Fe-Si합금)과의 접합에 의한 규소침투처리)

  • 이성열;정건영
    • Journal of Advanced Marine Engineering and Technology
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    • v.27 no.1
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    • pp.134-144
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    • 2003
  • Reactive diffusion couples between Fe-5.8at.%Si and (Si wafer, $FeSi_2$, or FeSi alloy) were heat-treated at 1423k. The only layer of $Fe_3Si$ phase was formed in each diffusion couple. The width of $Fe_3Si$ layer was proportional to square root of diffusion time in each kind of diffusion couple. Growth rate of $Fe_3Si$ layer was relied on the concentration of Si in the supplied source of Si atoms. Interdiffusion coefficient of $Fe_3Si$ has been determined from the derived relation between growth rate constant and interdiffusion coefficient in this work. It was shown that the behavior of Kirkendall's void in $Fe_3Si$ layer was not affected by the kind of Si source. But solid solution $\alpha$ was formed in the diffusion couple between Fe-5.8 at.%Si and $Fe_3Si$ alloy. Kirkendall's voids in diffusional $\alpha$ were neglectively smaller than the case of $Fe_3Si$ phase growth.

Fatigue Life Prediction for High Strength AI-alloy under Variable Amplitude Loading (변동하중하에서 고강도 알루미늄 합금의 피로수명 예측)

  • Sim, Dong-Seok;Kim, Gang-Beom;Kim, Jeong-Gyu
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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    • pp.2074-2082
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    • 2000
  • In this study, to investigate and to predict the crack growth behavior under variable amplitude loading, crack growth tests are conducted on 7075-T6 aluminum alloy. The loading wave forms are generated by normal random number generator. All wave forms have same average and RMS(root mean square) value, but different standard deviation, which is to vary the maximum load in each wave. The modified Forman's equation is used as crack growth equation. Using the retardation coefficient D defined in previous study, the load interaction effect is considered. The variability in crack growth process is described by the random variable Z which was obtained from crack growth tests under constant amplitude loading in previous work. From these, a statistical model is developed. The curves predicted by the proposed model well describe the crack growth behavior under variable amplitude loading and agree with experimental data. In addition, this model well predicts the variability in crack growth process under variable amplitude loading.

Evaluation of Creep Crack Growth Failure Probability for High Temperature Pressurized Components Using Monte Carlo Simulation (몬테카를로법을 이용한 고온 내압 요소의 크리프 균열성장 파손확률 평가)

  • Lee, Jin-Sang;Yoon, Kee-Bong
    • Journal of the Korean Society of Safety
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    • v.21 no.1 s.73
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    • pp.28-34
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    • 2006
  • A procedure of estimating failure probability is demonstrated for a pressurized pipe of CrMo steel used at $538^{\circ}C$. Probabilistic fracture mechanics were employed considering variations of pressure loading, material properties and geometry. Probability density functions of major material variables were determined by statistical analyses of implemented data obtained by previous experiments. Distributions of the major variables were reflected in Monte Carlo simulation and failure probability as a function of operating time was determined. The creep crack growth life assessed by conventional deterministic approach was shown to be conservative compared with those obtained by probabilistic one. Sensitivity analysis for each input variable was also conducted to understand the most influencing variables to the residual life analysis. Internal pressure, creep crack growth coefficient and creep coefficient were more sensitive to failure probability than other variables.

Predictive Modeling of the Growth and Survival of Listeria monocytogenes Using a Response Surface Model

  • Jin, Sung-Sik;Jin, Yong-Guo;Yoon, Ki-Sun;Woo, Gun-Jo;Hwang, In-Gyun;Bahk, Gyung-Jin;Oh, Deog-Hwan
    • Food Science and Biotechnology
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    • v.15 no.5
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    • pp.715-720
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    • 2006
  • This study was performed to develop a predictive model for the growth kinetics of Listeria monocytogenes in tryptic soy broth (TSB) using a response surface model with a combination of potassium lactate (PL), temperature, and pH. The growth parameters, specific growth rate (SGR), and lag time (LT) were obtained by fitting the data into the Gompertz equation and showed high fitness with a correlation coefficient of $R^2{\geq}0.9192$. The polynomial model was identified as an appropriate secondary model for SGR and LT based on the coefficient of determination for the developed model ($R^2\;=\;0.97$ for SGR and $R^2\;=\;0.86$ for LT). The induced values that were calculated using the developed secondary model indicated that the growth kinetics of L. monocytogenes were dependent on storage temperature, pH, and PL. Finally, the predicted model was validated using statistical indicators, such as coefficient of determination, mean square error, bias factor, and accuracy factor. Validation of the model demonstrates that the overall prediction agreed well with the observed data. However, the model developed for SGR showed better predictive ability than the model developed for LT, which can be seen from its statistical validation indices, with the exception of the bias factor ($B_f$ was 0.6 for SGR and 0.97 for LT).