• Title/Summary/Keyword: Weibull Plots

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Reliability Improvement of Titania Ceramics with Surface Flaw Through High Voltage Screening

  • Tanaka, Tomohiro;Kishimoto, Akira
    • The Korean Journal of Ceramics
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    • v.5 no.4
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    • pp.386-389
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    • 1999
  • Effect of high voltage screening was examined on mechanical strength of titania ceramics with two different surface roughness. Roughly finished sample showed degraded mechanical strength meaning that the introduced flaw played the role of starting point of mechanical fracture. On such sample, electrically weak parts were eliminated by applying a screening field. Mechanical strength measurement on survived parts revealed that after screening the Weibull plots bended to become a convex curve while plots at high strength region were almost the same. This result means that relatively low mechanical strength parts were eliminated by the electrical method. As a result the Weibull modulus calculated from all the data increased, demonstrating the effect of high voltage screening on titania ceramics containing fracture controlling surface flaws. Roles of the surface flaw such as a common weak spot for both failures are disscussed in relation to the electric field concentration similar to that of mechanical stress.

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Nonlinear Height-DBH Growth Models for Larix kaempferi in Gangwon and North Gyeongsang Province

  • Lee, Daesung;Choi, Jungkee;Seo, Yeongwan;Kim, Euigyeong
    • Journal of Forest and Environmental Science
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    • v.30 no.2
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    • pp.201-207
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    • 2014
  • This study was conducted to estimate the best-fit nonlinear height-DBH growth models for Larix kaempferi in Gangwon and North Gyeongsang province in South Korea. Exponential, Modified Logistic, Chapman-Richards, and Weibull function were used for estimating height-DBH models. To evaluate the selected models, $R^2$, RMSE, MD, MAD, and residual plots were performed in each model. Also, the coefficients and patterns in models of the previous studies were compared with those in this study. The result showed that Weibull equation was found to be the best-fit model with $R^2$=0.9837, RMSE=2.6133, MD=0.0089, and MAD=2.0896. All model parameters in our study had similar values to those in the previous models except for asymptotic parameter a. Our research result showed that Gangwon and North Gyeongsang province were superior to other provinces with regard to height growth for Larix kaempferi.

Immiscibility, nucleation and mechanical properties in the lithia-baria-silica system

  • Ertug, Burcu
    • Journal of Ceramic Processing Research
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    • v.19 no.5
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    • pp.394-400
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    • 2018
  • The current work investigates the effects of nucleation heat treatments, on the microstructure and mechanical properties of a novel silicate glass in $Li_2O-BaO-SiO_2$ system with 1 mol% $P_2O_5$ as nucleating agent. As-cast glass was exposed to nucleation heat treatments at $490-550^{\circ}C$ for 1-3 h. The microstructural examination was performed by SEM/EDS. The highest Vickers microhardness was determined to be 650 Hv for the sample heat treated at $550^{\circ}C$ for 1 h. The increase in the nucleation time also affected Vickers microhardness and the highest one was determined to be 600 Hv after nucleation for 3 h. The fracture toughness, $K_{IC}$ reached $2.51MPa.m^{1/2}$ after nucleation at $550^{\circ}C$ for 1 h. The nucleation temperatures had a more pronounced effect on the fracture toughnesses in comparison to nucleation times. The indentation toughness data was used to determine Weibull parameters from Ln ln [1/(1-P)]-$lnK_{IC}$ plots. Weibull modulus, m of the samples nucleated at 500, 510, 530, $550^{\circ}C$ for 1h. and $540^{\circ}C$ for 2 h. were determined similarly to be 3.8, 3.5, 4.7 and 3.9, respectively. The rest of the samples indicated higher Weibull moduli, which may be attributed to the formations of microcracks due to the mismatch in between newly formed crystals and remaining glassy matrix.

Morphology, Thermal, Electrical Properties for Epoxy-Layered Silicate Nanocomposites using Homogenizer +Ultrasonic Dispersion Method (Homogenizer+Ultrasonic을 이용한 Epoxy-Layered Silicate Nanocomposites의 구조적, 열적, 전기적 특성연구)

  • Park, Jae-Jun;Um, Ji-Yong;Lee, Chang-Hun;Kim, Min-Kyu;Baek, Kwan-Hyun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.287-288
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    • 2008
  • 에폭시-층상실리케이트 나노콤포지트의 균질분산과 층상실리케이트내로 침투되는 박리정도를 향상시키기 위해 친환경적 분산기법인 물리적방법으로 Homogenizer와 Power Ultrasonic를 적용한 기법을 실시하였다. Homogenizer의 최적속도를 얻기 위해 분산시킨 나노콤포지트의 박리정도, 유리천이온도를 구할 수 있었고, Homogenizer와 Ultrasonic을 동시에 적용하여 최적시간을 구하기 위해 적용된 나노콤포지트를 절연파괴 강도의 Weibull Plots을 통하여 판단할 수 있는 좋은 결과를 얻을 수 있었다.

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Effect of Dispersion Agents for Epoxy-Organoclay Nanocomposites (Epoxy-Organoclay Nanocomposites의 Dispersion Agent 영향)

  • Park, Jae-Jun;Cho, Dae-Ryung;Lee, Hyun-Dong;Bang, Byung-Yun
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.296-297
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    • 2008
  • 층상실리케이트 나노입자가 충진된 에폭시수지를 분산정도 향상을 위해 즉, 층상실리케이트 층간간경의 삽입과 박를 향상시키기 위해 분산제를 첨가하였고, 초음파 적용으로 분산시켰다. 그 결과 분산제 종류에따라 분산정도인 X-RD 특성이 서로다른 결과를 얻었다. 절연성능을 평가하기위해 단시간 절연파괴강도와 장시간 절연파괴특성인 트리시스템을 이용하여 절연파괴시간 및 측정하였다. 이와같은 결과에대한 통계적인 분석으로 Weibull plots를 이용하였고 그 결과 분산제가 첨가된 나노콤포지트의 기울기 파라미터인 $\beta$값의 결과로부터 나노콤포지트 우수성을 확인 할수있었다.

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Using R Software for Reliability Data Analysis

  • Shaffer, Leslie B.;Young, Timothy M.;Guess, Frank M.;Bensmail, Halima;Leon, Ramon V.
    • International Journal of Reliability and Applications
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    • v.9 no.1
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    • pp.53-70
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    • 2008
  • In this paper, we discuss the plethora of uses for the software package R, and focus specifically on its helpful applications in reliability data analyses. Examples are presented; including the R coding protocol, R code, and plots for various statistical as well as reliability analyses. We explore Kaplan-Meier estimates and maximum likelihood estimation for distributions including the Weibull. Finally, we discuss future applications of R, and usages of quantile regression in reliability.

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Application of Finite Mixture to Characterise Degraded Gmelina arborea Roxb Plantation in Omo Forest Reserve, Nigeria

  • Ogana, Friday Nwabueze
    • Journal of Forest and Environmental Science
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    • v.34 no.6
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    • pp.451-456
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    • 2018
  • The use of single component distribution to describe the irregular stand structure of degraded forest often lead to bias. Such biasness can be overcome by the application of finite mixture distribution. Therefore, in this study, finite mixture distribution was used to characterise the irregular stand structure of the Gmelina arborea plantation in Omo forest reserve. Thirty plots, ten each from the three stands established in 1984, 1990 and 2005 were used. The data were pooled per stand and fitted. Four finite mixture distributions including normal mixture, lognormal mixture, gamma mixture and Weibull mixture were considered. The method of maximum likelihood was used to fit the finite mixture distributions to the data. Model assessment was based on negative loglikelihood value ($-{\Lambda}{\Lambda}$), Akaike information criterion (AIC), Bayesian information criterion (BIC) and root mean square error (RMSE). The results showed that the mixture distributions provide accurate and precise characterisation of the irregular diameter distribution of the degraded Gmelina arborea stands. The $-{\Lambda}{\Lambda}$, AIC, BIC and RMSE values ranged from -715.233 to -348.375, 703.926 to 1433.588, 718.598 to 1451.334 and 3.003 to 7.492, respectively. Their performances were relatively the same. This approach can be used to describe other irregular forest stand structures, especially the multi-species forest.

Using Mean Residual Life Functions for Unique Insights into Strengths of Materials Data

  • Guess Frank M.;Zhang Xin;Young Timothy M.;Leon Ramon V.
    • International Journal of Reliability and Applications
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    • v.6 no.2
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    • pp.79-85
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    • 2005
  • We show how comparative mean residual life functions (MRL) can be used to give unique insights into strengths of materials data. Recall that Weibull's original reliability function was developed studying and fitting strengths for various materials. This creative comparing of MRL functions approach can be used for regular life data or any time to response data. We apply graphical MRL's to real data from tests of tensile strength of high quality engineered wood.

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Electrical and Mechanical Characteristics for Filled Contents Variation of Epoxy-SiO2 Nanocomposites (Epoxy-$SiO_2$ Nanocomposites 충진함량 변화의 전기적 그리고 기계적 특성)

  • Park, Jae-Jun;Lee, Dong-Yoon
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2008.11a
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    • pp.361-362
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    • 2008
  • 에폭시 메트릭스에 $10{\pm}5nm$ SiO2 입자를 함량별 (1,3,5,7,9wt%)로 혼합하여 초음파 및 균질기를 이용한 분산을 실시하여 나노콤포지트를 제조하였다. 엉킴이 있는 나노입자를 물리적분산법을 이용하여 분산시킬 수 있었고, 그 결과 여러특성을 연구하였다. 기계적 굴곡강도 특성은 나노입자 충진함량 증가에따라 증가되는 경향을 나타내었고, 무충진 에폭시수지에 비하여 상대적으로 높은 굴곡강도를 나타내었다. 나노입자의 충진함량 증가에따라 절연파괴강도는 1wt%에서 가장 높는 절연파괴강도를 기록하였고 함량증가에 따라 약간 감소되는 경향을 보이고 있다. 이는 여러 연구자의 경향과 대체로 유사함을 알 수 있었다.

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Classification of Regional Types for Pinus densiflora stands Using Height-DBH Growth in Korea (우리나라 소나무림의 수고-흉고직경 생장에 따른 지역형 분류)

  • Park, Joon Hyung;Jung, Su Young;Lee, Kwang Soo;Kim, Chang Hwan;Park, Yong Bae;Yoo, Byung Oh
    • Journal of Korean Society of Forest Science
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    • v.105 no.3
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    • pp.336-341
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    • 2016
  • The object of this study was to classify the local types in relation to regional differences using Height-DBH growth of Pinus densiflora in Korea. The regional types were clustered according to Getis-Ord's $G_i$ among Local indicators of spatial association (LISA) by characteristics of spatial distribution which were calculated the residual of sample plots by fitting Height-DBH growth model using Weibull growth equation. Accordingly, Pinus densiflora were classified 3 groups, It indicated that annual precipitation had one of the biggest impacts among the considered site and climate factors. This results can become the standard for regional management of Pinus densiflora forests.