• 제목/요약/키워드: Burger′s model

검색결과 21건 처리시간 0.023초

수학적 개념 해를 적용한 미고결 암석의 Creep거동 해석 (Creep Behavior of Unconsolidated Rock with Mathematical Concept Solution)

  • 장명환
    • 터널과지하공간
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    • 제28권1호
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    • pp.25-37
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    • 2018
  • 미고결 암석에 대한 Creep 특성을 분석하고자 Burger 모델을 이용하였다. Burger 모델은 자료쌍 D(u,t)으로부터 4개의 역학적 매개변수를 결정 하여야 한다. 본 연구에서는 수학적 개념 해를 적용하여 매개변수를 결정 하였다. 미고결 암석에 대한 Burger 모델의 결정된 매개변수를 이용하여 Creep을 3년간 가속시켰다. 그 결과 Creep 거동은 수렴이 되지 않고 지속적인 변형거동을 보였다. 따라서 본 광산에서는 Roofbolt 보다 U-Beam 적용이 안정성 측면에서 더 적합 할 것으로 분석 되었다.

응력수준 및 함수비에 따른 이암의 Creep 특성에 관한 연구 (Creep Characteristics of Mudstone According to Stress Level and Water Content)

  • 이영휘;정강복
    • 한국지반환경공학회 논문집
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    • 제13권3호
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    • pp.39-51
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    • 2012
  • 본 연구에서는 포항이암을 대상으로 다양한 경계조건에서의 creep 시험을 수행하여 이암의 시간의존적 특성을 분석하였으며, 이를 바탕으로 기존에 발표된 creep에 대한 점탄성 모델 및 경험식들과 비교 분석함으로써 더 합리적으로 creep 특성을 평가할 수 있는 방법을 제안하고자 한다. Creep 시험결과를 Griggs(1936), Cottrell(1952) 및 Singh(1975)이 제안한 경험식에 대하여 분석한 결과, 전반적으로 응력수준 및 함수비가 증가할수록 creep 상수가 증가하는 경향을 나타내었다. 또한, Singh의 경험식에 의한 예측치는 실측치와 매우 높은 상관성을 보이고 있는 것을 확인할 수 있었으며, 이로부터 이암의 크리프 거동을 해석함에 있어 Singh의 경험식을 적용함이 바람직할 것으로 판단된다. 유동학적 모델인 Burger 모델에 의한 예측치와 실측치를 비교한 결과, 매우 좋은 일치를 보이고 있음을 알 수 있으며, 이로부터 이암의 크리프 거동을 해석함에 있어 Maxwell 요소와 Kelvin 요소를 직렬로 연결한 Burger 모델을 적용하는 것이 바람직할 것으로 판단된다.

과실(果實)의 리올러지 선형화(線型化) 모델(模型) (Linearized Rheological Models of Fruits)

  • 박종민;김만수
    • Journal of Biosystems Engineering
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    • 제19권2호
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    • pp.138-147
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    • 1994
  • The stress relaxation and creep characteristics of fruits have usually been fit to an exponential expression based on a generalized Maxwell model and Burger's model. It is known that two to three terms in the expansion of those models are necessary to obtain a satisfactory fit to the rheological characteristics of fruits. Since four to six constants appear in the models, it is very difficult to determine their physical meaning according to the experimental conditions and levels. Therefore in order to ease the comparison of data, this study was conducted to develop the linearized rheological model of the fruit from the previous studies of stress relaxation and creep characteristics of fruits. Stress relaxation and creep characteristics were able to normalize and presented in the linear form of $t/S(t)=K_1+k_2t$ and $t/C(t)={K_1}^{\prime}+{K_2}^{\prime}t$, respectively. It was possible to compare the effects of experimental conditions and levels much easier from the linearized models developed in this study than from the generalized Maxwell model and Burger's model.

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Nonlinear viscous material model

  • Ivica Kozar;Ivana Ban;Ivan Zambon
    • Coupled systems mechanics
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    • 제12권5호
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    • pp.419-428
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    • 2023
  • We have developed a model for estimating the parameters of viscous materials from indirect tensile tests for asphalt. This is a simple Burger nonlinear rheological two-cell model or standard model. At the same time, we begin to develop a more versatile and complex multi-cell model. The simple model is validated using experimental load-displacement results from laboratory tests: The recorded displacements are used as input values and the measured force data are simulated with the model. The optimal model parameters are estimated using the Levenberg-Marquardt method and a very good agreement between the experimental results and the model calculations is shown. However, not all parts of the model are active in the loading phase of the experiment, so we extended the validation of the model to the simulation of the relaxation behaviour. In this stage, the other model parameters are activated and the simulation results are consistent with the literature. At this stage, we have estimated the parameters only for the two-cell uniaxial model, but further work will include results for the multi-cell model.

벼의 리올러지 특성(特性)(II) -곡립(穀粒)의 압축(壓縮)크리이프- (Rheological Properties of Rough Rice (II) -Compressive Creep of Rough Rice Kernel-)

  • 김만수;김성래;박종민
    • Journal of Biosystems Engineering
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    • 제15권3호
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    • pp.219-229
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    • 1990
  • The compression creep behavior of grains when loaded depends not only on load but also on duration of load application. The most common methods of studying the load-time characteristics of agricultural products is by employing rheological models such as Burger's model. However it is sometimes not sufficient to describe the viscoelastic behavior of grains to be Burger's model. For this reason, this study was conducted to develop the rheological model which represented the creep compliance response of the rough rice kernel and was a function of initial stress applied and time. The effects of the initial stress applied and the moisture content on the compression creep behavior of the rough rice kernel were analyzed. The results were obtained from the study as follows: 1. Since the viscoelastic behavior of the rough rice kernel was nonlinear, the transient and steady state creep compliance was satisfactorily modelled as follows: $$J({\sigma},t)=A{\sigma}^B[C+Dt-exp(-Ft)]$$ But, for the every stress applied, the compression creep behavior of the samples tested can be well described by Burger's model respectively. 2. The creep compliance, the instantaneous elastic strain, the retarded elastic strain and the viscous strain of the sample tested generally increased in magnitude with increasing the applied initial stress and the moisture content used in the tests. At low moisture content, the creep compliance for the Japonica-type rough rice kernel Was a little higher than those for Indica-type and at high moisture content, vice versa at high moisture content. 3. The retardation times of the samples had not an uniform tendency by the initial stress and the moisture content. The retardation times ranged from 0.66 to 6.76 seconds, and the creep progressed from transient to steady state at a relatively high rate. 4. The less viscous strain than the instantaneous elastic strain for the samples tested indicated that rough rice kernel behaved as a viscoelastic body characterized by elasticity than viscosity.

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Modeling time-dependent behavior of hard sandstone using the DEM method

  • Guo, Wen-Bin;Hu, Bo;Cheng, Jian-Long;Wang, Bei-Fang
    • Geomechanics and Engineering
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    • 제20권6호
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    • pp.517-525
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    • 2020
  • The long-term stability of rock engineering is significantly affected by the time-dependent deformation behavior of rock, which is an important mechanical property of rock for engineering design. Although the hard rocks show small creep deformation, it cannot be ignored under high-stress condition during deep excavation. The inner mechanism of creep is complicated, therefore, it is necessary to investigate the relationship between microscopic creep mechanism and the macro creep behavior of rock. Microscopic numerical modeling of sandstone creep was performed in the investigation. A numerical sandstone sample was generated and Parallel Bond contact and Burger's contact model were assigned to the contacts between particles in DEM simulation. Sensitivity analysis of the microscopic creep parameters was conducted to explore how microscopic parameters affect the macroscopic creep deformation. The results show that the microscopic creep parameters have linear correlations with the corresponding macroscopic creep parameters, whereas the friction coefficient shows power function with peak strength and Young's modulus, respectively. Moreover, the microscopic parameters were calibrated. The creep modeling curve is in good agreement with the verification test result. Finally, the creep curves under one-step loading and multi-step loading were compared. This investigation can act as a helpful reference for modeling rock creep behavior from a microscopic mechanism perspective.

Mat 묘(苗)의 크리이프 및 회복특성(回復特性) (Creep and Recovery Properties of Mat-type Rice Seedlings)

  • 허윤근;이철기;김만수
    • Journal of Biosystems Engineering
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    • 제14권3호
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    • pp.181-187
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    • 1989
  • The mechanical and rheological properties of agricultural materials which influence the machine design or handling are not completely understood. Agricultural materials do not react in a purely elastic manner, and their responses when subjected to stress and strain appear a combination of elastic and viscous behavior. Many researchers have studied the mechanical and rheological properties of the various agricultural materials, but those properties are available mostly for foreign varieties of agricultural products. Rheological properties of rice seedlings become important to formulate the principles governing their mechanical behavior. The objectives of this study were to experimentally determine the creep and recovery behavior of rice seedlings of one japonica-type and one Indica x japonica hybrid in the transplanting age. The results of this study are summarized as follows; 1. The compression creep and recovery behavior of mat-type seedlings could be described by 4-element Burger's model. 2. The steady-state creep appeared at the stress larger than 0.8 MPa and the logarithmic creep appeared at the stress smaller than 0.8 MPa. 3. In the compression creep test of the rice seedlings, the instantaneous elastic modulus of Burger's model showed the range from 20 to 40 MPa. The higher value of absolute viscosity for the rice seedling explained that the rice seedlings were viscoelastic materials. 4. In the recovery test of the rice seedlings, there was a tendency that the higher permanent strain of all samples was observed under the smaller stress being appeared, and the larger permanent strain in Dongjin was observed than in Samkang.

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A study on the growth mechanism of Burger King based on dynamic models of success and failure of businesses

  • Lee, Sang-Youn
    • 동아시아경상학회지
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    • 제5권4호
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    • pp.39-49
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    • 2017
  • Purpose - This study is to propose a creative idea for constant business growth and development by examining characteristics of business outcomes by phase, which are "growth" and "erosion and stagnation," respectively. Research design, data, methodology - It is necessary to identify an occurrence of crisis and its diffusion with a dynamic model in order to identify a success and failure of businesses in an organic way, not on a binary structure. The static perspective is to understand a crisis as a simply one-time event or as a linear causation. Thus, it has a limited understanding of the overall situation and has limits to investigating a foundational cause and developing long-term countermeasures. On the contrary, the dynamic perspective is to understand the crisis as circulation process of the overall system. Thus, it divides elements of the crisis as external and internal ones to understand it as the causal relationship of each element. Results - During the growth period of Burger King, the company promoted its brand very successfully with aggressive and creative marketing activities. However, due to the founder's disposal of management rights and the following changes in the management, the company had no choice but to lose focus on its business philosophy and brand management, and eventually it had to face the big crisis (resonance) which was delisting from the stock market because of the external threat; well-being trend. However, Burger King resumed lifting on the stock exchange by making great efforts to clearly identify the current issues and seek solutions. Under the spirit of "perseverance" and its slogan "Have it your way" the company is now going head to head with McDonald's in the North American region and emerging countries. Conclusions - Then, what is the most crucial factor in the success and failure of businesses? Answers may vary, however, as learned from the case study of Burger King, corporations should inspect the present and focus on developing a long-term strategy for the future and actively fulfill the actions. McDonald's may not be able to innovate by itself in the future as it may become routinized to the growth. There will be chances of winning if we change conditions of individuals or organizations to an organic system in terms of being creative. There is a hopeful message here that an individual or small business may have more advantages in the era of the idea and innovation.

단축압축하중을 받는 대전 화강암의 크립 변형거동 특성에 관한 연구 (Characteristics of Creep Deformation Behavior of Granite under Uniaxial Compression)

  • 홍지수;전석원
    • 터널과지하공간
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    • 제14권1호
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    • pp.69-77
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    • 2004
  • 암석의 시간 의존 변형거동은 암석의 가장 근본적인 역학적 성질 중의 하나이며, 크립거동의 특성과 메커니즘에 대한 연구는 지하 암반 구조물의 장기적 안정성을 평가하는데 필수적이라 할 수 있다. 이에 본 연구에서는 국내 화강암을 대상으로 단축압축하중 하에서 크립시험을 실시하였고, 수분과 응력 수준을 달리하여 각각의 조건에 따른 크립 특성을 비교, 분석하였다. 크립시험 결과 화강암은 1차, 2차 및 3차로 확연히 구분된 크립거동을 보였다. 1차 크립거동은 대체로 24시간 내에 종결되었으며, 2차 크립 변형률은 단축압축강도에 대한 재하응력의 비율이 증가함에 따라 증가하였다. 일정 응력하에서 화강암의 최대강도는 시간에 따라 감소하는 경향을 보였다. 완전 포화된 시료는 자연 건조된 시료보다 훨씬 큰 크립 변형량 및 변형률을 보였으며, 포화시료의 파괴강도 및 파괴시간은 급격히 감소하였다. 본 연구의 크립시험 결과를 버거모델(Burger's model) 및 이전 연구자들에 의해 제안된 두 개의 경험적 모델에 적용하여 크립의 유동상수를 구하였다. 세 개의 모델 모두 화강암의 크립거동을 잘 나타내었으나, 그 중 버거모델이 실험결과와 가장 잘 일치하였다. 각각의 모델에서 결정된 유동상수들은 함수량과 응력 수준에 영향을 받았다. 또한 본 실험결과에 기초하여 자연건조 및 완전 포화된 화강암 시료에 대하여 응력 수준과 시간의존변형의 경험적 관계식을 유도하였다.

한국 재래식 국수류의 유체 변형성에 관한 연구 -제 2 보 : 삶음시간과 저장기간에 따른 기계적 모델 상수들의 변화- (Studies on the Rheological Property of Korean Noodles -II. Mechanical Model Parameters of Cooked and Stored Noodles-)

  • 이철호;김철원
    • 한국식품과학회지
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    • 제15권3호
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    • pp.295-301
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    • 1983
  • 한국 재래식 밀국수와 냉면국수의 유체 변형성을 규명하기 위하여 실험실에서 제작한 tensile tester를 이용하여 creep test를 실시하였다. 국수를 삶는 시간과 삶은후 저장하는 시간에 따라 기계적 모델파라 메터의 크기가 변하는 정도를 측정하였다. 대부분의 삶은 국수 시료는 6-element Voigt 모델로 설명될 수 있었다. 밀국수의 경우 국수를 삶는 시간이 경과함에 따라 순간탄성(instantaneous elasticity)이 감소 되었으며, 지연탄성(retarded elasticity)과 지연점성(retarded viscosity)은 삶음 초기에 크게 감소되어다. 반면에 뉴우턴 점성은 삶음 시간에 크게 감소되었다. 반면에 뉴우턴 점성은 삶은 시간에 따라 서서히 감소되었다. 삶은 밀국수를 저장하는 시간에 따라 지연시간(retardation time)과 뉴우턴 점성이 급격히 감소되었다. 냉면국수와 삶음시간이 경과함에 따라 순간탄성과 지연탄성이 계속적으로 감소하는 반면 뉴우턴 점성은 최적 삶음시간에서 최고치를 나타내었다. 삶음시간이 경과함에 따라 냉면국수는 4-element Burger's모델로 그 기계적 성질을 표현할 수 있었다.

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