• Title/Summary/Keyword: Weibull Modulus

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Application of Weifull강s Theory to Evaluation of Strength for Ceramic Fibers (Ceramic 섬유의 강도 평가에 대한 Weibll 이론의 적용)

  • 이지환;김현수;한상훈
    • Journal of the Korean Ceramic Society
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    • v.27 no.8
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    • pp.1043-1049
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    • 1990
  • In this work, strength of ceramic fibers and monofilament composites were evaluated on the basis of Weibull's theory. The fibers used were β-SiC and γ-Al2O3 monofilament composites was fabricated by coating Al on the fiber surface by the use of vacuum evaporation method. Average tensile strength of ceramic fibers showed the tendency to linearly decrease with increasing gauge length. Also, Weibull moduli of ceramic fibers were decreased with increasing gauge length, Weibull modulus of β-SiC was 3.5 for 6-50mm, 2.8 for 100-200mm. Weibull modulus of γ-Al2O3 was 6.5 for 20-50mm, 6 for 100mm. Fibers in monofilament retained their original as-produced strength to exposure temperature of 400℃. However, tensile strength of both monofilament composites approved to remarkably degrade due to interfacial reaction-induced flaws on the fiber surface after thermal exposure of 600℃. In this case, Weibull modulus of monofilament composites was 2.7 for β-SiC and 5.2 for γ-Al2O3 respectively.

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Internal Structure and Weibull Modulus of $Al_2$$O_3$Ceramics Sintered with Addition of MgO (마그네시아 첨가 $Al_2$$O_3$세라믹스의 내부구조 및 Weibull Modulus)

  • 조용익;유선균;정상귀;조성용;김승재;오꾸미야마사타로
    • Journal of the Korean Ceramic Society
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    • v.38 no.5
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    • pp.479-484
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    • 2001
  • 고순도 알루미나 분말에 소결조제로서 MgO를 0ppm 및 500ppm 첨가하여 열분무건조기를 사용하여 준비한 과립을 80$0^{\circ}C$에서 하소를 함으로써 얻어진 과립으로 제작한 소결체의 MgO 첨가량에 따른 미세구조와 꺾임강도에 미치는 영향을 고찰하였다. 또한 시편두께를 50$mu extrm{m}$의 박편으로 가공하여 투광법으로 내부구조도 관찰하였다. MgO를 500ppm 첨가하여 제작한 과립을 180 MPa의 냉간정수압성형성 후 1$600^{\circ}C$에서 소결한 소결체는 상대밀도가 100%에 도달하였고 균일한 결정립성장의 치밀한 미세구조를 나타내었다. MgO를 500ppm 첨가한 시편의 4점 꺾임강도 또한 각 소결온도에서 MgO를 9ppm 첨가한 시편보다 23%-32%정도 높은 강도를 나타내었으며, 특히 소결온도 1$600^{\circ}C$에서는 꺾임강도가 501MPa 그리고 weibull 계수가 20의 고강도이면서 신뢰성이 높은 알루미나 소결체가 얻어졌다. 본 연구에서는 weibull 계수의 값이 높은 시편일수록 내부구조의 결함크기가 작고 이 작은 결함이 시편내부에 균일하게 분포되어 있음을 확인할 수 있었다.

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High Temperature Design Criteria of Cordierite Ceramic Substrate in Four-point Banding (4점 굽힘시험에서 코디어라이트 세라믹 담체의 고온설계기준)

  • Baek, Seok-Heum;Park, Jea-Sung;Choi, Hyun-Jin;Cho, Seok-Swoo;Joo, Won-Sik
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.173-174
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    • 2008
  • The four-point bending test is a widely used method to determine material parameters. The aim of the present study was to evaluate the flexural strength (or modulus of rupture) and the Weibull modulus of cordierite ceramic substrate by means of four-point bending tests. The strength data from experiments followed Weibull statistics. These data indicate that the fatigue effects are more severe when the substrate temperature in the peripheral region is near $200^{\circ}$. At temperatures well above $200^{\circ}C$ the available design strength can be as high as 65% as substrate's initial strength.

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Calculation of Design parameter of Si3N4 for Engineering part through the Measurement of Tensile strength (인장강도 시험을 통한 질화규소 소재의 설계계수 계산)

  • Choi, Young-Min;Lee, Jae-Do;Ko, Jun
    • Journal of the Korean Ceramic Society
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    • v.33 no.6
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    • pp.709-717
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    • 1996
  • Design parameter of Si3N4 for engineering part could be calculated through the measurement of tensile strength with cylindrical specimen($\Phi$=7.15, ι=110mm) Relative densities of Si3N4 test specimen prepared by pressure-less sintering (PLS) and sinter/HIP were 98.5 and 99.2% respectively. Tensile strength of Si3N4 was 378 MPa for PLS and 509 MPa for sinter/HIP. By the Weibull statistic Design parameter such as Weibull modulus m=8-12 could be calcuated. Fracture strength of Si3N4 related to volume could be effectively pridicted by using Weibull theory.

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Evaluation of flexural properties and reliability with photo-curing 3D printing resin according to the printing orientations (광경화성 3D 프린팅 레진의 출력각도에 따른 굽힘 특성과 신뢰성 평가)

  • Im, Yong-Woon;Song, Doo-Bin;Hwang, Seong-Sig;Kim, Sa-Hak;Han, Man-So
    • Journal of Technologic Dentistry
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    • v.43 no.1
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    • pp.13-18
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    • 2021
  • Purpose: This study aimed to compare the flexural properties and perform the Weibull analysis of photo-curing three-dimensional (3D) printing resin. Methods: Photo-curing temporary resin (3D polymer) was used as a printing resin. Specimens (65 × 10 × 3.3 ㎣) were prepared following the ISO 20975-1 guidelines and according to the different printing orientations using a digital light processing 3D printer (D2 120; Dentium). The flexural strength (FS), flexural modulus, and work of fracture (WOF) were measured using a universal testing machine (Instron 3344; Instron) at a crosshead speed of 5 mm/min. Results: In this study, the 0° orientation exhibited higher FS and WOF than the 45° orientation. Significant differences were found among the printing orientations (p<0.05). Specimens printed at the 0° orientation were the most accurate. In the Weibull analysis, 0° showed the greatest Weibull modulus (m), which represents a higher reliability. Conclusion: 3D printing should be selected and used by considering flexural properties, size accuracy, and reliability.

Shear Bond Strength of Porcelain Repair Systems (도재 수리 시스템의 전단결합강도에 관한 연구)

  • Woo, Soo;Shin, Soo-Youn;Cho, In-Ho
    • Journal of Dental Rehabilitation and Applied Science
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    • v.22 no.3
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    • pp.211-220
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    • 2006
  • Need of porcelain-repair system is largely demanding as dental porcelain restorations are increased in clinical dentistry. This study investigated shear bond strength of commercial porcelain-repair systems on dental porcelain and their reliability. Experimental groups were as follows; Group A Super Bond C&B, Group B Porcelain repair kit, Group C Ceramic repair, and Group D Spectrum system as a control. Porcelain disks were fired and embedded in epoxy resin. Porcelain surface were ground using 220 grit SiC disk, then cleaned in ultrasonic bath. Then porcelain specimens were treated with each repair system. A clear polystyrene cylinder 3.5 mm in internal diameter was filled with composite resin. Then the resin cylinder was polymerized with a visible light curing unit. Thirty one specimens at each group were prepared and stored at $37^{\circ}C$ distilled water for 48 h. Specimens were tested in an Instron testing machine according to ISO TR 11405. Mean shear bond strength and standard deviation of each group was $15.7{\pm}4.1MPa$ (Group A), $12.8{\pm}4.9MPa$ (Group B), $7.2{\pm}3.0MPa$ (Group C) and $9.6{\pm}2.2MPa$ (Group D). ANOVA and Tukey HSD post-hoc test showed that there were significant differences between groups (p<0.05). Data of bond strength were analyzed with two-parameter Weibull distribution. Confidence interval of Weibull modulus (m-parameter) at 95% of Group A (3.5-6.3) and Group D (3.6-6.0) were significantly higher than Group B (2.2-3.7) and Group C (2.0-3.4). There was little correlation between mean shear bond strength and Weibull modulus. Results indicated that acid-etching of porcelain surface increased porcelain-resin shear bonding strength.

A Study on Sintering and Mechanical Properties of $Si_3N_4$ (질화규소의 소결 및 기계적 성질에 관한 연구)

  • 이회동;이준근
    • Journal of the Korean Ceramic Society
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    • v.21 no.4
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    • pp.361-365
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    • 1984
  • This study has been carried out to sinter silicon nitride with additives and to show the effect of surface finishments on its strength and Weibull modulus which are two most important factors for its applications into structural ceramics. Silicon nitride was sintered with the additions of $Al_2O_3$ and $Y_2O_3$ under pressureless cond-ition. The optimum properties were obtained by sintering at 1, 75$0^{\circ}C$ for 3hrs under $N_2$ atmosphere and the strength showed 6, 500kg/$cm^2$ at room temperature and 3, 300kg/$cm^2$ at 120$0^{\circ}C$. The effects of surface treatment on the strength of sintered $Si_3N_4$ were studied and the results showed that fine surface treatment increased the strength by up to 50% The Weibull analysis showed that its modulus was increased with increasing fineness of surface finishments. It was concluded that the mechanical properties of sintered silicon nitride could be improved by fine surface grinding which implied the brittle-fracture nature of sintered silicon nitride.

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Flaw Tolerance of (Y,Nb)-TZP/${Al_2}{O_3}$Composites ((Y,Nb)-TZP/${Al_2}{O_3}$복합체의 결함 저항성)

  • 이득용;김대준;이명현;장주웅
    • Journal of the Korean Ceramic Society
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    • v.38 no.1
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    • pp.56-60
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    • 2001
  • 90.24 mol% ZrO$_2$-5.31 mol% $Y_2$O$_3$-4.45 mol% Nb$_2$O$_{5}$ 조성의 (Y,Nb)-TZP와 (Y,Nb)-TZP/Al$_2$O$_3$복합체를 155$0^{\circ}C$~1$600^{\circ}C$에서 1~2시간 소결하여 제조하였다. 시편의 결함에 대한 저항성을 조사하기 위하여 R-curve, Weibull modulus, slow crack growth 변수 등을 조사하였다. 실험결과, (Y,Nb)-TZP와 (Y,Nb)-TZP/Al$_2$O$_3$복합체 모두 상용 3Y-TZP 보다 우수한 결함 저항성이 관찰되었다. (Y,Nb)-TZP/Al$_2$O$_3$복합체의 결함 저항성은 $Al_2$O$_3$첨가에 의한 결정립 가교 인화, 분산강화, R-curve 효과에 의한 것으로 추정된다.

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Electrical Discharge Machining of Alumina Ceramic Matrix Composites Containing Electro-conductive Titanium Carbide as a Second Phase (도전성 탄화티타늄 이차상을 포함하는 산화알루니늄기 세라믹 복합체의 방전가공)

  • 윤존도;왕덕현;안영철;고철호
    • Journal of the Korean Ceramic Society
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    • v.34 no.10
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    • pp.1092-1098
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    • 1997
  • Electrical discharge machining (EDM) was attempted on a ceramic matrix composite containing non-conductive alumina as a matrix and conductive titania as a second phase, and was found successful. As the current or duty factor increased, the material removal rate (MRR) increased and the surface roughness also increased. The EDMed surface was covered with a number of craters of a circular shape having 100-200 microns of diameter. The melting and evaporation was suggested for the EDM mechanism. The bending strength decreased 44% after EDM, but the Weibull modulus increased more than twice. Combination of EDM and barre이 polishing resulted in the maintenance of the bending strength level. Temperature distribution near a spark in the sample was computer-simulated by use of finite element method, and was found to have similar shape to the one which the observed craters have.

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Evaluating the Output of Small-size Wind Power Generators Using Weibull Data (와이블데이터를 이용한 소형풍력발전기 출력에 대한 평가)

  • You, Ki-Pyo;Kim, Young-Moon
    • Journal of the Korean Solar Energy Society
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    • v.32 no.2
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    • pp.95-104
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    • 2012
  • This study purposed to predict wind energy for small size wind power generators at 50m above the ground in each area using mean wind speed data for 10 minutes collected from 2001 to 2011 by meteorological data in large cities having over 60% of 15 story (50m) or higher apartments including Seoul, Daejeon, Gwangju and Daegu representing the inland region, and Busan, Incheon and Ulsan representing the coastal region. In the results of analysis, we confirmed close agree ment between observatory weather data and probability density distribution obtained using Weibull's parameters, and this suggests that Weibull's parameter is applicable to the estimation of wind energy. Hourly output energy using the mean wind speed for 10 minutes and output energy obtained from Weibull's parameter showed an error less than 5%, and thus it was found that wind energy can be evaluated using Weibull's modulus.