• 제목/요약/키워드: modified-avrami equation

검색결과 10건 처리시간 0.027초

생체분해성 Poly(glycolide-co-ε-caprolactone-co-L-lactide) 블록 공중합물의 비등온 결정화 거동에 관한 연구 (Non-isothermal Crystallization Behavior of Poly(glycolide-co-ε-caprolactone-co-L-lactide) Block Copolymer)

  • 최세영;송승호
    • Elastomers and Composites
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    • 제49권1호
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    • pp.13-23
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    • 2014
  • 본 연구에서는 생체분해성 폴리에스터 계열의 glycolide, L-lactide 및 ${\varepsilon}$-caprolactone 단량체를 이용하여 2단계 중합법에 의한 삼원 공중합체를 제조하여, DSC를 이용한 비등온 결정화 거동을 고찰하였다. 보다 더 정확한 거동을 검토하기 위하여 Avrami 식과 Ozawa 식을 조합하여 비등온 결정화 거동을 고찰하였다. 과냉각도를 분석한 결과 PGCLA21의 값이 가장 큰 값을 보이고 있으며 L-lactide 함량이 증가함에 따라 과냉각도는 증가하는 경향을 보이고 있다. 수정된 Avrami 식을 이용하여 다양한 냉각속도에서 비등온 결정화 거동 결정화 속도 상수는 큰 경향을 보이고 있지 않는 것을 알 수 있었다. Avrami 및 Ozawa 식을 조합하여 특정한 상대적 결정화도에서의 냉각함수를 구한결과 L-lactide 함량이 증가하면서 PGCL과 비교시 결정화 속도를 향상시키는 역할을 하고 있는 것으로 여겨지는 반면 PGCLA41과 PGCLA21을 비교시 L-lactide 함량이 일정 이상 증가시 logF(T) 값이 큰 것을 확인 할 수 있는데 이는 동일한 결정을 얻는데 더 많은 냉각 속도를 필요로 한다는 것을 의미하며 결정화 속도 향상에 부정적인 영향을 미치는 것으로 판단된다.

열시차 분석에 대한 결정화 Kinetics의 응용 (Application of Crystallization Kinetics on Differential Thermal Analysis)

  • 이선우;심광보;오근호
    • 한국세라믹학회지
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    • 제35권11호
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    • pp.1162-1170
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    • 1998
  • PbO-TiO2-B2O3-BaO 계 유리상에서 PbTiO3의 결정화 메커니즘에 대한 이론적 고찰 및 전자현미경 관찰 그리고 결정화 기구의 열시차 분석에 대한 응용성을 조사하였다. 열시차 분석에 대한 Kissinger 식의 응용은 DTA 분석시 시료내 핵밀도가 변하지 않을 때 적용할 수 있으며, 표면결정화를 유도하기 위해 분말시료를 사용하는 경우도 활성화 에너지를 시료의 결정화 메커니즘에 크게 영향을 받는다. Ozawa 식에 의한 Avrami parameter n은 전자현미경 관찰에 의해 파악된 결정화메커니즘과 잘 일치하고 있었으며, 수정 Kissinger 식은 시료의 결정화 메커니즘을 반영하고 있어 시료의 전처리와 관계없이 참값의 활성화에너지를 구할 수 있다.

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용접 열영향부 미세조직 및 재질예측 모델링: II. Fe-C-Mn 강에서 페라이트 결정립크기의 영향을 고려한 Austenitization kinetics 및 오스테나이트 결정립크기 예측모델 (Prediction Model for the Microstructure and Properties in Weld Heat Affected Zone: II. Prediction Model for the Austenitization Kinetics and Austenite Grain Size Considering the Effect of Ferrite Grain Size in Fe-C-Mn Steel)

  • 유종근;문준오;이창희;엄상호;이종봉;장웅성
    • Journal of Welding and Joining
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    • 제24권1호
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    • pp.77-87
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    • 2006
  • Considering ferrite grain size in the base metal, the prediction model for $A_{c3}$ temperature and prior austenite grain size at just above $A_{c3}$ temperature was proposed. In order to predict $A_{c3}$ temperature, the Avrami equation was modified with the variation of ferrite grain size, and its kinetic parameters were measured from non-isothermal data during continuous heating. From calculation using a proposed model, $A_{c3}$ temperatures increased with increasing ferrite grain size and heating rate. Meanwhile, by converting the phase transformation kinetic model that predicts the ferrite grain size from austenite grain size during cooling, a prediction model for prior austenite grain size at just above the $A_{c3}$ temperature during heating was developed.

Synthesis and Crystallization Behaviors of Modified PET Copolymers

  • Hu, Seung-Woo;Myung, Hee-Soo;Bae, Jong-Seok;Yoo, Eui-Sang;Im, Seung-Soon
    • Fibers and Polymers
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    • 제1권2호
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    • pp.76-82
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    • 2000
  • A series of random copolyesters having various compositions were synthesized by bulk copolymerization of bishydroxyethyl terephthalate (BHET) with 1,4-cyclohexane dimethanol (CHDM) or dimethyl isophthalate (DMI). CHDM and DMI content was less than 10 wt%. For the synthesized copolyesters, isothermal crystallization rate, melting behavior, and equilibrium temperature were investigated by calorimetry and by Avrami and Hoffman-Weeks equation. Crystalline lattice and morphology were studied by WAXD and SEM. Regardless of the composition, the value of the Avrami exponent was about 3, which indicates that crystallization mechanism of the copolyester was similar to those of PET homopolymer. Incoporation of CHDM or DMI units in PET backbone decreased the crystallization rate of the copolyesters. Surface free energy of copolyesters was evaluated using the newly proposed equation. The value of surface free energy was about 189$\times$$10^{-6}$/$J^{2}$/$m^{4}$ regardless of comonomer contents. This result is in good agreement with that of PET homopolymer.

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가래떡의 노화 억제에 관한 변형 전분의 최적화 (Optimization of Modified Starches on Retrogradation of Korean Rice Cake(Garaeduk))

  • 박현정;송재철;신완철
    • 한국식품영양학회지
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    • 제19권3호
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    • pp.279-287
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    • 2006
  • 본 연구는 변형 전분이 가래떡의 노화에 어떤 영향을 미치는지를 규명하기 위해 실시하였다. 우선 변형전분이 가래떡의 노화에 미치는 영향을 Avrami equation으로 검토하였는데 그 결과 Avrami equation 지수 n값은 실험구 모두 1.03${\sim}$l.31범위로 나타났다. 이것은 변형 전분을 첨가한 가래떡 전분 입자의 결정화 즉시노화가 일어난다는 것을 의미하며 대조구(control)의Avrami equation 지수 n값이 가장 높은 값을 나타내었다. 노화속도상수 k는 대조구에 비해서 변형 전분을 첨가한 경우가 낮게 나타났으며 그 중 SHPP가 가장 낮게 나타났다. 이러한 경향은 노화 속도의 시간 상수 1/k값에서도 잘 나타나 있다. 시차주사열량기(DSC, differential scanning calorimeter)를 이용한 변형 전분의 가래떡에 대한 열적 특성 검토에서는 저장 기간에 따라 변형 전분을 사용한 경우 전분 입자의 호화 개시 온도가 조금씩 높아졌고 그 중 SHPP가 가장 완만하게 상승하였다. 떡의 최대 호화온도에서도 저장기간에 따라 SHPP는 거의 변하지 않고 SSOS, ASA는 약간 증가하였고 대조구는 더 많이 증가한 것으로 나타났다. 용융 enthalpy(${\Delta}$H)는 대조구(21.2${\rightarrow}$26.1${\rightarrow}$27.1)에 비해서 변형 전분을 첨가한 경우(SSOS: 21.1${\rightarrow}$23.7${\rightarrow}$24.1, ASA: 21.1${\rightarrow}$24.8${\rightarrow}$25.4)가 용융 enthalpy가 적은 것으로 나타났으며 특히 SHPP의 경우는 가장 적은 폭으로 증가하였다. 가래떡의 열 용융 신전성(열용융신전성(熱熔融伸剪性), Martindiameter)은 대조구, ASA, SSOS, SHPP 순으로 좋게 나타났으며 SHPP를 첨가한 것이 가장 좋은 용융 신전성을 나타내었다. 변형 전분을 첨가한 가래떡의 색깔과 관능적 조직감의 경우에는 L$^*$값은 저장 기간에 따라 SSOS와 SHPP의 경우에는 그 값이 많이 변하지 않고 안정한 편이었다. a$^*$값은 대조구(2.21${\rightarrow}$5.34 : 141.6%), ASA(2.01${\rightarrow}$4.22 : 110.0%), SSOS(2.78${\rightarrow}$4.87 : 75.2%), SHPP(2.12${\rightarrow}$3.40) : 60.4%)의 순이었다. 또 b$^*$값은 대조구(4.32${\rightarrow}$6.35 : 47.0%), ASA(4.66${\rightarrow}$5.73 : 23.0%), SSOS (4.90${\rightarrow}$5.89 : 20.2%), SHPP(4.89${\rightarrow}$5.12 : 4.7%) 순서로 SHPP가 가장 색깔 변화가 없었다. 관능적 조직감은 변형 전분을 사용한 경우 높게 나타나고 특히 SHPP는 가장 좋은 관능적 조직감을 유지하는 것으로 나타났다.

열분석에 의한 $CaO.Al_2O_3.2SiO_2$ 유리의 결정화 고찰 (Crystallization Behavior of $CaO.Al_2O_3.2SiO_2$ Glass with Kinetic Parameters)

  • 이승한;류봉기;박희찬
    • 한국세라믹학회지
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    • 제31권12호
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    • pp.1545-1551
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    • 1994
  • Various kinetic parameters of the nucleation and crystallization in anorthite glass (CaO.Al2O3.2SiO2) were calculated by nonisothermal differential thermal analysis. Base glass and glass with TiO2 were prepared by melting. In base glass, the temperature where nucleation can occur ranges from 85$0^{\circ}C$ to 9$25^{\circ}C$ and the temperature for maximum nucleation was 900$\pm$5$^{\circ}C$. In glass with TiO2, the nucleation temperature range was 800~875$^{\circ}C$ and the maximum nucleation temperature was 850$\pm$5$^{\circ}C$. Kissinger equation, Bansal equation, and modified Ozawa equation were used for calculating activation energy for crystallization, Ec. The results showed the same activation energies for both glasses with and without TiO2 in the different equations. The shape of maximum exotherm peak and Ozawa equation were used for Avrami exponent, n. The n value for each glass was 2, indicating that each glass crystallized primarily by bulk crystallization.

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비조질 중탄소강의 정적 및 준동적 재결정에 관한 연구 (Static and Metadynamic Recrystallization of Non-Heat Treated Medium Carbon Steels)

  • 한창훈;김성일;유연철;이덕락;주웅용
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 추계학술대회 논문집
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    • pp.29-32
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    • 2000
  • The static and metadynamic recrystallization of non-heat treated medium carbon steel(Fe - 0.45wt.$\%C\;-\;0.6wt.\%Si\;-\;1.2wt.\%Mn\;-\;-0.12wt.\%Cr \;-\;0.1wt.\%V \;-\;0.017wt\%$.Ti) were studied by the torsion test in the strain rate range of 0.05 - 5 $sec^{-1}$, and in the temperature range of $900\;-\;1100\;^{\circ}C$. Interrupted deformation was performed with 2 pass deformation in the pass strain range of $0.25 {\varepsilon}_p(peak strain)\;and\;{\varepsilon}_p$, and in the interpass time range or 0.5 - 100 sec. The dependence or pass strain(${\varepsilon}_i$), strain rate( $\dot{\varepsilon}$ ), temperature(T), and interpass time($t_i$) on static recrystallization (SRX) and metadynamic recrystallization (MDRX) were predicted from the modified Avrami's equations respectively. Comparison of the softening kinetics between SRX and MDRX was indicated that the rate of MDRX was more rapid than that of SRX under the same deformation variables.

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용접 열영향부 미세조직 및 재질 예측 모델링: V. 저합금강의 초기 오스테나이트 결정립크기 및 냉각 속도의 영향을 고려한 용접 열영향부 상변태 모델 (Prediction Model for the Microstructure and Properties in Weld Heat Affected Zone: V. Prediction Model for the Phase Transformation Considering the Influence of Prior Austenite Grain Size and Cooling Rate in Weld HAZ of Low Alloyed Steel)

  • 김상훈;문준오;이윤기;정홍철;이창희
    • Journal of Welding and Joining
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    • 제28권3호
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    • pp.104-113
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    • 2010
  • In this study, to predict the microstructure in weld HAZ of low alloyed steel, prediction model for the phase transformation considering the influence of prior austenite grain size and cooling rate was developed. For this study, six low alloyed steels were designed and the effect of alloying elements was also investigated. In order to develop the prediction model for ferrite transformation, isothermal ferrite transformation behaviors were analyzed by dilatometer system and 'Avrami equation' which was modified to consider the effect of prior austenite grain size. After that, model for ferrite phase transformation during continuous cooling was proposed based on the isothermal ferrite transformation model through applying the 'Additivity rule'. Also, start temperatures of ferrite transformation were predicted by $A_{r3}$ considering the cooling rate. CCT diagram was calculated through this model, these results were in good agreement with the experimental results. After ferrite transformation, bainite transformation was predicted using Esaka model which corresponded most closely to the experimental results among various models. The start temperatures of bainite transformation were determined using K. J. Lee model. Phase fraction of martensite was obtained according to phase fractions of ferrite and bainite.

인절미의 노화억제를 위한 반죽, 첨가제 및 효소분해의 영향 (Effect of Kneading, Ingredients and Enzymatic Hydrolysis on Retrogradation of Injulmi)

  • 조태옥;서형진;김주숙;홍진숙
    • 한국식품조리과학회지
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    • 제22권3호통권93호
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    • pp.282-290
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    • 2006
  • This study was carried out to investigate the effects of modified starch, sugars and enzymatic hydrolysis with ${\beta}-amylase$ on extending the self-life of Injulmi, a Korean soft and glutinous rice cake, in terms of maintaining a soft texture. The Injulmi was prepared with or without kneading of waxy rice flour, NaCl and water mixture. The Injulmi was stored at -20, 4 and $20^{\circ}C$ and the hardness was measured to calculate the Avrami exponents during storage. The results showed that cold heading and enzymatic hydrolysis with ${\beta}-amylase$ before steaming of the waxy rice dough significantly extended the self-life on the basis of the Avrami equation. Among the various additives including different kinds of starches, sugars and polymannuronic acid, the addition of 1.5% tapioca starch, 8.0% of glucose or 3.0% of polymannuronic acid was also effective for delaying the retrogradation phenomena during storage. However, despite the effectiveness of these treatments, the Injulmi developed hardness within 2-3 days at $4^{\circ}C$ and within 4 days at $20^{\circ}C$ while storage at $-20^{\circ}C$ showed a storage stability that was maintained over x days. Sensory showed the Injulmi prepared with NOVA-0.005, GL-8.0 had a lower hardness than that of the other treatments.

Effects of Al2O3 addition on nanocrystal formation and crystallization kinetics in (1-x)Li2B4O7-xAl2O3 glasses

  • Choi, Hyun Woo;Kim, Su Jae;Yang, Hang;Yang, Yong Suk;Rim, Young Hoon;Cho, Chae Ryong
    • Journal of Ceramic Processing Research
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    • 제20권1호
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    • pp.63-68
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    • 2019
  • We investigated the effects of Al2O3 addition on (1-x)Li2B4O7-xAl2O3 (LBAO; x = 0, 0.005, 0.01, 0.05, 0.07, and 0.1) glasses. The glasses were synthesized by a conventional melt-quench method. Structural transformations of the LBAO glasses were assessed via X-ray diffraction analysis. Estimations of ΔT, KGS = (Tc-Tg)/(Tm-Tc), activation energy, and the Avrami parameter were performed using differential thermal analysis and differential scanning calorimetry. An interpretation of non-isothermal kinetics of the crystallization process is presented using the modified Ozawa equation. The activation energy E increased from 3.3 to 3.5 eV for the LBAO (x < 0.01) glasses whereas those of the LBAO (x > 0.05) glasses slightly increased from 3.75 to 4.05 eV. The exponent n was estimated to be 3.9 ± 0.1 for the LBAO (x < 0.01) glasses and 3.2 ± 0.02 for the LBAO (x > 0.05) glasses. Microstructural characterization of the glassy and crystalline phases using atomic force microscopy was investigated. The effects of Al2O3 on the LBAO glasses include a decreased nucleation rate in the crystallization process and a significantly reduced crystal size.