• 제목/요약/키워드: Time-temperature superposition

검색결과 39건 처리시간 0.029초

Life Time Prediction Using Accelerated Ageing Test for a CR/CB Rubber Composite

  • Ahn, WonSool;Lee, Hyung Seok
    • Elastomers and Composites
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    • 제52권4호
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    • pp.237-241
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    • 2017
  • The tensile strength (TS) and elongation-at-break (EB) loss of a CR/CB rubber composite sample prepared for the automotive parts were measured after accelerated thermal ageing at temperatures of 100, 120, 140, and $150^{\circ}C$. The change in TS was observed to be linear from the master curve prepared using the time-temperature superposition-principle (TTSP). An Arrhenius type of shift factor, $a_T$ was used to predict the life time of the sample, and a plot of ln $a_T$ vs. 1/T was also shown to be linear. The activation energy ($E_a$) of the sample was calculated as 70.30 kJ/mole from the Arrhenius plot. The expected life time of the sample was predicted at the given operating conditions by applying Arrhenius analysis. Assuming the $E_a$ value was constant at lower operating condition, life time of the sample was calculated as 2.3 years when the life limit was set as time to reach the 20% decrease of the initial TS value at operating temperature of $40^{\circ}C$.

저장중의 두부에 WLF식을 이용한 물성 변화 예측에 관하여 (Prediction of the Rhelolgical of Soybean Curd during Storage by using WLF equation)

  • 장원영;김병용;김명환
    • 한국식품과학회지
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    • 제27권2호
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    • pp.193-198
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    • 1995
  • 여러 저장온도($5{\sim}25^{\circ}C$)에서 저장하는 동안의 두부의 물성 변화는 응력완화현상을 이용하여 시간-온도 중첩 이론을 통해 계산하고 분석하였으며 WLF(Williams-Landel-Ferry)식을 이용해서 품질변화를 예측할 수 있는 적용식을 제시하였다. 저장온도가 낮을수록 저장시 두부 조직의 초기응력 및 평형응력(equilibrium stress)이 강하게 나타났고, $15^{\circ}C$ 온도를 기준으로 이동인자를 이용하여 좌우 수평으로 이동시 하나의 중첩곡선(master curve)을 구하였다. 이동인자와 중첩곡선을 이용하여 WLF식에 적용해서 활성화 에너지를 계산하였고 임의 온도에서 저장 시간을 예측하였으며, 실제 두부 조직의 저장성을 논하였다.

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간헐 압축응력 완화와 시간-온도 중첩 원리를 이용한 FKM 오링의 수명 예측 연구 (Life-time Prediction of a FKM O-ring using Intermittent Compression Stress Relaxation (CSR) and Time-temperature Superposition (TTS) Principle)

  • 이진혁;배종우;김정수;황태준;박성두;박성한;여태민;김원호;조남주
    • Elastomers and Composites
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    • 제45권4호
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    • pp.263-271
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    • 2010
  • 간헐 CSR 측정법을 이용하여 FKM 오링의 노화 거동과 수명 예측에 관하여 연구하였다. Intermittent CSR 지그는 오링의 실제 사용환경을 고려하여 설계 제작하였다. 각 측정 조건에 따른 마찰 영향, 열 손실 영향 및 Mullins 효과에 의한 간헐 CSR의 응력 거동 변화를 관찰하였다. 오링의 노화 거동은 $60{\sim}160^{\circ}C$에서의 가속 노화 연구를 통하여 관찰하였다. 고온 영역($100{\sim}160^{\circ}C$)에서 오링은 선형 노화 거동을 나타내었으며, 아레니우스 관계를 만족시켰다. 이때의 활성화 에너지는 60.2 kJ/mol로 나타났다. 아레니우스 도식으로 부터, 오링의 예측 수명은 고장 조건 50%와 40%에 대하여 각각 43.3 년과 69.6 년으로 나타났다. 시간-온도 중첩 원리를 이용하여 $60^{\circ}C$에서의 노화 거동을 관찰하였으며, 실험 시간을 절약 할 수 있었다. $60{\sim}100^{\circ}C$의 저온 영역에서의 활성화 에너지는 48.3 kJ/mol로 감소하였다. WLF(William-Landel-Ferry) 도식을 통하여 FKM 오링은 $100^{\circ}C$ 이하에서 비선형 노화 거동을 나타내는 것을 확인하였다. 시간-온도 중첩 원리로부터, FKM 오링의 수명은 고장 조건 50%와 40%에 대하여 각각 19.1년과 25.2년으로 나타났다. 시간-온도 중첩 원리를 이용하여 예측한 오링의 수명이 아레니우스 관계에 의한 수명 보다 보수적인 것으로 나타났다.

변온유입 성층축열조의 충전과정에 대한 해석적 접근 (Analytical approaches to the charging process of stratified thermal storage tanks with variable inlet temperature)

  • 유호선
    • 설비공학논문집
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    • 제9권1호
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    • pp.43-54
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    • 1997
  • This paper presents an approximate analytical solution to a two-region one-dimensional model for the charging process of stratified thermal storage tanks with variable inlet temperature in the presence of momentum-induced mixing. Based on the superposition principle, an arbitrary-varying inlet temperature is decomposed into inherent discontinuous steps and continuous intervals approximated as a finite number of piecewise linear functions. This approximation allows the temperature of the upper perfectly-mixed layer to be expressed in terms of constant, linear and exponential functions with respect to time. Applying the Laplace transform technique to the model equation for the lower thermocline layer subject to each of three representative interfacial conditions yields compact-form solutions, a linear combination of which constitutes the final temperature profile. A systematic method for deriving solutions to the plug-flow problem having polynomial-type boundary conditions is also established. The effect of adiabatic exit boundary on solution behaviors proves to be negligible under the actual working conditions, which justifies the assumption of semi-infinite domain introduced in the solution procedure. Finally, the approximate solution is validated by comparing it with an exact solution obtained for a specific variation of inlet temperature. Excellent agreements between them suffice to show the necessity and utility of this work.

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Activated Physical Properties at Air-Polymer Interface

  • Kajiyama, Tisato;Tanaka, Keiji
    • 한국고분자학회:학술대회논문집
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    • 한국고분자학회 2006년도 IUPAC International Symposium on Advanced Polymers for Emerging Technologies
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    • pp.5-6
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    • 2006
  • Molecular motion at the surface of monodisperse polystyrene (PS) films with various chain end groups was studied by scanning probe microscopy. Surface glass transition temperature ($T_{g^s}$) of the PS films was much lower than the corresponding bulk value. And, the magnitude of $T_{g^s}$ was strongly dependent on chain end chemistry. This result can be explained in terms of the chain end concentration at the surface. Time-temperature superposition principle was applied to rheological analysis at the surface. The apparent activation energy of the surface ${\alpha}_{a}$-relaxation process was approximately a half of that for the bulk sample. This result clearly indicates that the cooperativity for the surface segmental motion was reduced in comparison with that in the bulk region.

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숙성온도가 전통 고추장의 레올로지 특성에 미치는 영향 (Effect of Fermentation Temperature on Rheological Properties of Traditional Kochujang)

  • 유병승;노완섭
    • 한국식품영양과학회지
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    • 제29권5호
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    • pp.860-864
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    • 2000
  • The steady and dynamic shear rheological properties of traditional kochujang fermented at three different temperatures (20${^circ}C$, 25${^circ}C$ and 30${^circ}C$) were studied. Flow of kochujang samples showed time dependence, which was quantitatively described by the Weltman model, Kochujang samples were highly shear thinning fluids (n=0.25~0.27) with large magnitudes of Casson yield stresses (1.09~1.21 kPa). Consistency index (K) and apparent viscosity (${\eta}_{a,20}$) increased with increase in fermentation temperature of kochujang. Storage (G') and loss (G") moduli increased with increase in frequency (ω), while complex viscosity (${\eta}^{\ast}$) decreased. Based on dynamic shear data, kochujang samples exhibit structural properties similar to weak gels. The complex and steady shear viscosities at different fermentation temperatures followed the Cox-Merz superposition rule with the application of the shift factor (a=0.011~0.016).

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대변형 접촉을 고려한 고무 마찰 예측 연구 (Predictive Study of Rubber Friction Considering Large Deformation Contact)

  • 남승국
    • Tribology and Lubricants
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    • 제34권1호
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    • pp.1-8
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    • 2018
  • This paper presents the analysis of friction master curves for a sliding elastomer on rough granite. The hysteresis friction is calculated using an analytical model that considers the energy spent during the local deformation of the rubber due to surface asperities. The adhesion friction is also considered for dry friction prediction. The viscoelastic modulus of the rubber compound and the large-strain effective modulus are obtained from dynamic mechanical analysis (DMA). We accurately demonstrate the large strain of rubber that contacts with road substrate using the GW theory. We found that the rubber block deforms approximately to 40% strain. In addition, the viscoelastic master curve considering nonlinearity (at 40% strain) is derived based on the above finding. As viscoelasticity strongly depends on temperature, it can be assumed that the influence of velocity on friction is connected to the viscoelastic shift factors gained from DMA using the time-temperature superposition. In this study, we apply these shift factors to measure friction on dry granite over a velocity range for various temperatures. The measurements are compared to simulated hysteresis and adhesion friction using the Kluppel friction theory. Although friction results in the low-speed band match well with the simulation results, there are differences in the predicted and experimental results as the velocity increases. Thus, additional research is required for a more precise explanation of the viscoelastic material properties for better prediction of rubber friction characteristics.

등온 TGA 및 TMA를 이용한 NR고무소재의 내열수명 예측에 관한 연구 (A Study on the Thermal Life-Time Expectation of a NR Rubber Material using Isothermal TGA and TMA)

  • 안원술;박기호
    • Elastomers and Composites
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    • 제44권3호
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    • pp.269-273
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    • 2009
  • CR고무로 개질된 NR/CB 고무복합재료에 대하여 등온 TGA 및 TMA를 이용하여 열노화실험을 통하여 시험방법에 따른 재료의 화학적, 물리적 노화에 의한 재료의 수명예측에 대한 비교 연구를 진행하였다. 각각의 실험으로부터 얻은 데이터는 시간-온도 중첩 원리를 이용하여 이동인자 $a_T$를 구함으로서 $90^{\circ}C$의 기준온도에서의 마스터 곡선을 얻을 수 있었다. 또한 TGA 및 TMA실험에서의 노화활성화에너지는 실험적으로 결정된 이동인자의 Arrhenius plot에 의하여 결정될 수 있었으며 각각 $E_{a,TGA}$ = 41.2 및 $E_{a,TMA}$= 54.5 kJ/mol로서 TMA 실험에 의한 값이 약간 더 높게 계산되었다. 실험의 결과로부터 샘플의 중량감소를 가져오는 화학적인 노화는 치수변화 등의 물리적인 노화 현상과 밀접한 연관성을 가지는 것으로 생각되었다.

충격공진실험과 만능재료시험기에 의한 아스팔트 공시체의 동탄성계수 예측 모델 개발 (Development of the Predicted Model for the HMA Dynamic Modulus by using the Impact Resonance Testing and Universal Testing Machine)

  • 김도완;김동호;문성호
    • 한국도로학회논문집
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    • 제16권3호
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    • pp.43-50
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    • 2014
  • PURPOSES : The dynamic modulus can be determined by applying the various theories from the Impact Resonance Testing(IRT) Method. The objective of this paper is to determine the best theory to produce the dynamic modulus that has the lowest error as the dynamic modulus data obtained from these theories(Complex Wave equation Resonance Method related to either the transmissibility loss or not, Dynamic Stiffness Resonance Method) compared to the results for dynamic modulus determined by using the Universal Testing Machine. The ultimate object is to develop the predictive model for the dynamic modulus of a Linear Visco-Elastic specimen by using the Complex Wave equation Resonance Method(CWRM) came up for an existing study(S. O. Oyadiji; 1985) and the Optimization. METHODS : At the destructive test which uses the Universal Testing Machine, the dynamic modulus results along with the frequency can be used for determining the sigmoidal master curve function related to the reduced frequency by applying Time-Temperature Superposition Principle. RESULTS : The constant to be solved from Eq. (11) is a value of 14.13. The reduced dynamic modulus obtained from the IRT considering the loss factor related to the impact transmissibility has RMSE of 367.7MPa, MPE of 3.7%. When the predictive dynamic modulus model was applied to determine the master curve, the predictive model has RMSE of 583.5MPa, MPE of 3.5% compared to the destructive test results for the dynamic modulus. CONCLUSIONS : Because we considered that the results obtained from the destructive test had the most highest source credibility in this study, the dynamic modulus data obtained respectively from DSRM, CWRM were compared to the results obtained from the destructive test by using th IRT. At the result, the reduced dynamic modulus derived from DSRM has the most lowest error.

TMA 열분석을 이용한 ACM 고무의 압축크립거동 연구 (A Study on Compressive Creep Behavior of ACM Rubber using TMA Thermal Analysis)

  • 안원술;이형석
    • Elastomers and Composites
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    • 제48권2호
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    • pp.156-160
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    • 2013
  • 자동차 엔진 개스킷용으로 사용되는 아크릴 고무(ACM)의 압축크립 거동을 TMA 열분석기를 이용하여 연구하였다. 160, 180, 200, 및 $220^{\circ}C$의 서로 다른 온도에서 1N의 일정한 힘을 가하고 등온시험을 행한 결과, 시간에 따른 압축크립거동을 얻었고, 이로부터 시간-온도 중첩원리를 이용하여 기준온도 $160^{\circ}C$에서의 이동인자 $a_T$를 실험적으로 결정하고, 고온 데이터의 기준온도로의 평행 이동에 의하여 마스터 곡선을 얻을 수 있었다. 또한 WLF(Williams-Landel-Ferry) plot을 통하여 계산된 $C_1$$C_2$는 각각 -1.107 및 11.571로 계산되었으며, WLF식을 이용하는 $120^{\circ}C$에서의 ACM 고무재료의 수명은 약 24,000시간으로 예측되었다.