• Title/Summary/Keyword: Avrami Equation

Search Result 73, Processing Time 0.021 seconds

Waspaloy 터빈디스크의 열간 단조시 결정립분포 해석에 관한 연구 (A Study on the Prediction of Grain Size Distribution in Hot Forging of Waspaloy Turbine Disc)

  • 염종택;이종수;김정한;이동근;박노광
    • 한국군사과학기술학회지
    • /
    • 제9권2호
    • /
    • pp.70-76
    • /
    • 2006
  • The microstructure evolution during a hot forging of Waspaloy was investigated using the recrystallization model and FEM simulation. In order to obtain an uniform microstructure, hot forging was carried out by two step. The change of grain size during hot forging has a deep connection with dynamic recrystallization behavior. Avrami-type constitutive equation for the dynamic recrystallization was implemented into an user subroutine of 2D FE simulator. The evolution of grain structure in the two-step forging of Waspaloy was simulated using the 2D FEM user-subroutine. The detailed variation of microstructures due to dynamic recrystallization could effectively be predicted at various locations in a forged pancake.

SCM 440 강재의 동적 재결정 조직 변화에 관한 연구 (The Evolution of Dynamically Recrystallized Microstructure for SCM 440)

  • 한형기;유연철
    • 소성∙가공
    • /
    • 제10권1호
    • /
    • pp.35-41
    • /
    • 2001
  • The high temperature deformation behavior of SCM 440 can be characterized by the hot torsion test in the temperature ranges of $900^{\circ}C$~$1100^{\circ}C$ and strain rate ranges of 0.05/sec~5/sec. The aim of this paper is to establish the quantitative equation of the volume fraction of dynamic recrystallization (DRX) as a function of processing variables, such as strain rate ($\varepsilon$), temperature (T), and strain ('$\varepsilon$). During hot deformation, the evolution of microstructure could be analyzed from work hardening rate ($\theta$). For the exact prediction of dynamic softening mechanism the critical strain ($\varepsilon_c$), the strain for maximum softening rate ($\varepsilon^*$ and Avrami' exponent (m') were quantitatively expressed by dimensionless parameter, Z/A, respectively. The transformation-effective strain-temperature curve for DRX could be composed. It was found that the calculated results were agreed with the experimental data for the steel at any deformation conditions.

  • PDF

CRYSTALLIZATION KINETICS OF Fe-Si-B-Cu-Nb AMORPHOUS RIBBONS

  • Zhou, S.X.;Ulvensoen, J.H.;Hoier, R.
    • 한국자기학회지
    • /
    • 제5권5호
    • /
    • pp.511-514
    • /
    • 1995
  • The crystallization kinetics of $Fe_{73.5}Si_{13.5}B_{9}Cu_{1}Nb_{3}$ amorphous alloy has been investigated using differential scanning calorimetry (DSC). The crystallization process had two stages, i.e. precipitation of the $\alpha$-Fe(Si) solid solution and the tetragonal borides. The isothermal transformation data of the amorphous alloy has been fitted successfully to the generalized Johnson-Mehl-Avrami equation. The mean time exponent, n, obtained is close to 2.5. The value of n=2.5 may be interpreted as being due to a diffusion-controlled transformation process with a constant nucleation rate, one likely transformation mode for the crystallization of metallic amorphous alloys. The activation energy of the overall crystallization process deduced from the time to 50% crystallization are about 81 kcal/mole. The value is of the same order as those estimated from viscous flow.

  • PDF

자전연소합성법으로 제조한 Zr계 AB2-x Mx 금속수소화물의 수소저장특성 (Hydrogen Storage Properties of Zr-Based AB2-x Mx Metal Hydrides Made by Hydriding Combustion Synthesis (HCS))

  • 허태홍;한정섭;김진호
    • 대한금속재료학회지
    • /
    • 제50권3호
    • /
    • pp.256-262
    • /
    • 2012
  • This study investigated the hydrogen storage properties of Zr-Based $AB_{2-x}M_x$ metal hybride made by HCS (Hydriding Combustion Synthesis). The materials were prepared by HCS 80 wt% $AB_2$-15 wt% Mg-5 wt% Mm, HCS 80 wt% $AB_2$-20 wt% Mg and pure Zr-Based $AB_2$, These materials were activated at 298 K under 20 bar. Both HCS 80 wt% $AB_2$-20 wt% Mg and HCS 80 wt% $AB_2$-15 wt% Mg-5 wt% Mm were absorbed within 1 minute. In the case of the $AB_2$, it was perfectly absorbed within 6 minutes. Then, the materials were evaluated to obtain P-C-T (Pressure-Composition-Temperature) curves at 298K. As a result, the hydrogen storage capacity of HCS 80 wt% $AB_2$-20 wt% Mg, HCS 80 wt% $AB_2$-15 wt% Mg-5 wt% Mm and pure Zr-Based $AB_2$ were determined to be 1.2, 1.6 and 1.74 wt%, respectively. The activation energy and rate controlling step were calculated by the Johnson-Mehl Avrami equation. The activation energies of HCS 80 wt% $AB_2$-20 wt% Mg, HCS 80 wt% $AB_2$-15 wt% Mg-5 wt% Mm and pure Zr-Based $AB_2$ were 26.91, 20.45, and 60.41 kJ/mol, respectively. Also, the values of ${\eta}$ in the Johnson-Mehl Avrami equation for HCS 80 wt% $AB_2$-20 wt% Mg, HCS 80 wt% $AB_2$-15 wt% Mg-5 wt% Mm and pure Zr-Based $AB_2$ are 0.60, 0.51, and 0.44. So, the rate controlling steps which indicate hydrogen storage mechanism are an one dimensional diffusion process.

상변환 메모리의 응용을 위한 Ge2Sb2Te5 박막의 상변환 거동 평가 (Evaluation of Phase Transition Behavior of Ge2Sb2Te5 Thin Film for Phase Change Random Access Memory)

  • 도우혁;김성순;배준현;차준호;김경호;이영국;이홍림
    • 한국세라믹학회지
    • /
    • 제44권1호
    • /
    • pp.18-22
    • /
    • 2007
  • The phase transition behavior of $Ge_2Sb_2Te_5$ (GST) thin film, which is a candidate material of recording layer for phase change random access memory (PRAM), has been evaluated using an in-situ reflectance measurement method. The experimental data have been analyzed by using johnson-mehl-avrami-kolomogorov (JMAK) model. JMAK model can be used only in isothermal state. However, temperature changes with time during the operation of PRAM. To apply JMAK equation to PRAM simulation, it has been assumed that the temperature increases stepwise and isothermally. By using JMAK equation and assumption for the transient state, the phase transition behavior of GST thin film has been predicted under $3^{\circ}C/min$ heating rate in this study. The simulation result agrees well with the experimental results. Therefore, It can be concluded that JMAK equation can be used far the PRAM simulation model.

페라이트 이상 입성장 (Abnormal Grain Growth in Ferrites)

  • Shigeru Ito
    • 자원리싸이클링
    • /
    • 제9권5호
    • /
    • pp.16-21
    • /
    • 2000
  • Generation of abnormally large grains in the microstructure of small grains has been investigated on some ferrites. Some fractions of large grains were observed in the microstructue of sintered ZnFe$_2$O$_4$, Mn-ZnFe$_2$O$_4$, Fe$_3$O$_4$(in $N_2$) and MnFe$_2$O$_4$(in air). On the other hand, the large grains were not observed in $NiFe_2$$O_4$ and $CoFe_2$$O_4$, independent of calcining and sintering conditions. The large grains seem to be generated in such ferrites that are easy to very their compositions or valencies at high temperatures. as the sintering proceeded, the number of large grains was increasing to from a continuous structure consisting of large grains, while the size of large grains did not increase remarkably. In addition, the growth of small grains was also very slow during the generation of the large grains. The large grains appeared be suddenly generated after some induction periods. Avrami equation could be applied to the relation between net volume of large grains and sintering time. Thus, the grain boundaries may be strongly stabilized when the large grains are generated. The large grain is generated y the local activation of the stabilized rain boundaries, which is caused by the variation of composition or valencies during sintering. It is concluded that the essence of the abnormal gain growth is not the generation of abnormally large grains, but the abnormal stabilization and the local activation of he grain boundaries.

  • PDF

LI$_2$O-Al$_2$O$_3$-SiO$_2$계 유리의 catalytic crystallization에 미치는 열처리 효과 (The effect of heat treatment on catalytic crystallization in Li$_2$O-Al$_2$O$_3$-SiO$_2$ glass system)

  • 박원규;이채현
    • 한국결정성장학회지
    • /
    • 제6권2호
    • /
    • pp.275-285
    • /
    • 1996
  • The effect of heat-treatment on catalytic crystallization in $LI_2O-Al_2O_3-SiO_2$ glass system over its glass transition temperature was investigated. Glass composition $4Li_2O{cdot}22AL_2O_3{cdot}66SiO_2{cdot}2TiO_2{cdot}2.5ZrO_2{cdot}1.5P_2O_5{cdot}1.0Na_2O{cdot}1.0As_2O_3$ (wt%) was selected and heat-treated at different heating conditions to obtain transparent glass-ceramic. Nucleation and crystallization behaviour of this composition were estimated by differential thermal analysis (DTA) and X-ray diffractometer (XRD) and its thermal expansion coefficients were measured by Dilatometer. As a result, glass transition temperature was $730^{\circ}C$ and two maximum nucleation temperatures were estimated at $730^{\circ}C$ and 82$0^{\circ}C$ using JMA(Johson-Mehl-Avrami) equation by DTA. $ZrTiO_4$ $\beta$-Quartz solid solution and $\beta$-Spodumene crystals were identified by XRD. The optimum crystallization temperature was 92$0^{\circ}C$ and three step heating schedule was expected to be useful to obtain transparent glass-ceramic.

  • PDF

이온 빔 스퍼링 법으로 제작한 Bismuth계 초전도 박막의 저항률-온도특성에 관한 연구 (A Study on the Resistivity-Temperature Characteristic of the Bi-Superconducting Thin Films Fabricated by using the Bon Beam Sputtering Method)

  • 천민우;박노봉;양승호;박용필
    • 한국전기전자재료학회:학술대회논문집
    • /
    • 한국전기전자재료학회 2004년도 하계학술대회 논문집 Vol.5 No.2
    • /
    • pp.1218-1221
    • /
    • 2004
  • Bi2212 superconducting thin films fabricated by using the ion Beam Sputtering Method. As a result, although the composition of Bi2212 was set up, the phase of Bi2201, Bi2212 and Bi2223 was formed. The formation area of these stable phases is indicated as inclined line in the direction of the right lower end from the Arrhenius plot of the substrate temperature-oxidation gas pressure, and are distributed in very small area. The activation energy for the phase transformation from the Bi2201 to the Bi2212 is estimated in terms of the Avrami equation.

  • PDF

Nb 석출 거동을 고려한 저탄소강의 상변태 모델 (A model for Phase Transformation of Microalloyed Low Carbon Steel Combined with Nb Precipitation Kinetics)

  • 김동완;조훈휘;박시욱;김성환;김문조;이규영;한흥남
    • 소성∙가공
    • /
    • 제26권1호
    • /
    • pp.48-54
    • /
    • 2017
  • The dissolution and precipitation of Nb, which has been known as strong carbide-forming element, play a key role in controlling phase transformation kinetics of microalloyed steels. In this study, we analyzed both numerically and experimentally the precipitation behavior of Nb-microalloyed steel and its effect on the austenite decomposition during cooling. Nb precipitation in austenite matrix could be predicted by the thermo-kinetic software MatCalc, in which interfacial energy between precipitate and matrix is calculated. The simulated precipitation kinetics fairly well agrees with the experimental observations by TEM. Austenite decomposition, which is strongly affected by Nb precipitation during cooling, was measured by dilatometry and was modeled on the basis of a Johnson-Mehl-Avrami-Kolmorgorov(JMAK) equation. It was confirmed that the dissolved Nb delays the austenite decomposition, whereas, the precipitated Nb accelerates phase transformation during the austenite decomposition.

90wt% Cordierite-10wt% Enstatite 총체의 $TiO_2$ 첨가에 의한 결정화 (Crystallization of 90wt% Cordierite-10wt% Enstatite Melt by $TiO_2$ Addition)

  • 이준;한덕현;조동수;전정필
    • 한국세라믹학회지
    • /
    • 제23권5호
    • /
    • pp.9-16
    • /
    • 1986
  • The effect of $TiO_2$ addition to the 90wt% Cordierite-10wt% Enstatite base glass was investi-gated to understand the crystallization behavior of the glass. Glasses with addition of $TiO_2$ less than 7, 5wt% had a tendency of surface crystallization and were cracked when heat treated and in this case the crystalline phase formed was indialite. glasses with addition of $TiO_2$ more than 10wt% to 15wt% were crystallized in bulk when heat treated and were suitable for glass-ceramics. The highest microhardness 1640kg/$mm^2$ was obtained when the glass of 12.5wt% $TiO_2$ addition was heat treated at 762$^{\circ}C$ for 60 minutes for nucleation and at 1135$^{\circ}C$ for 20 minutes for crystal growth and in general higher microhardness was obtained when crystalline phase of magnesium aluminum titanate and $\mu$-cordierite were developed. Avrami equation for crystal growth kinetics was applicable in glasses of less than 7.5 wt% $TiO_2$ addition and in case of glasses of more than 10wt% $TiO_2$ addition it was not applicable because of too fast crystal growth.

  • PDF