• Title/Summary/Keyword: Burger′s model

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

  • Jang, Myoung-Hwan
    • Tunnel and Underground Space
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    • v.28 no.1
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    • pp.25-37
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    • 2018
  • Burger's model was used to analyze creep characteristics of unconsolidated rock. Burger's model should determine four physical parameters from two pairs of data. In this study, physical parameters of Burger's model were determined by applying mathematical concept solution. Creep was accelerated for three years using the determined physical parameters of the Burger's model for unconsolidated rocks. As a result, the creep behavior showed a continuous deformation behavior without convergence. Therefore, in this mine, it is analyzed that the application of U-Beam is more appropriate than roofbolt in terms of stability.

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

  • Lee, Younghuy;Jeong, Ghangbok
    • Journal of the Korean GEO-environmental Society
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    • v.13 no.3
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    • pp.39-51
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    • 2012
  • The time-dependent characteristics of mudstone in this study were analyzed by performing creep tests for the mudstone in Pohang. The creep tests were conducted on various boundary conditions to observe the time-dependent behavior of mudstone and the results were compared with values predicted by established visco-elastic model and empirical equations. As a result of analysis for empirical equations proposed by Griggs(1936), Cottrell(1952) and Singh(1975), the creep constants generally tend to increase as increasing the stress level and water content. Moreover, the values predicted by Singh's equation were well fitted for the test results. Therefore, it is expected to be reasonable that creep behavior of mudstone is analyzed using Singh's equation. As a result of analysis for a Burger's model, the predicted values were well fitted for the test results. Therefore, it is expected be reasonable that the creep behavior of mudstone by a rheological model is analyzed using Burger's model.

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

  • Park, J.M.;Kim, M.S.
    • Journal of Biosystems Engineering
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    • v.19 no.2
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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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    • v.12 no.5
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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.

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

  • Kim, M.S.;Kim, S.R.;Park, J.M.
    • Journal of Biosystems Engineering
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    • v.15 no.3
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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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    • v.20 no.6
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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.

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

  • Huh, Y.K.;Yi, C.K.;Kim, M.S.
    • Journal of Biosystems Engineering
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    • v.14 no.3
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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
    • East Asian Journal of Business Economics (EAJBE)
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    • v.5 no.4
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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.

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

  • 홍지수;전석원
    • Tunnel and Underground Space
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    • v.14 no.1
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    • pp.69-77
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    • 2004
  • Investigation of the time-dependent behavior of rock and the associated mechanisms are of key interest in long-term stability analysis of many engineering applications. In this study, creep tests were performed on Daejeon granite samples of 25.4mm diameter under uniaxial compression at varying stress levels. The effect of moisture was investigated by testing both air-dried and fully water-saturated samples. The creep behavior of Daejeon granite exhibited three distinctive stages of primary, secondary and tertiary creep. The ultimate strength of granite under a constant stress decreased considerably with time. Saturation and immersion of the test specimen in water markedly increased the total creep strain as well as the secondary creep rate. The experimental creep curves are fitted to Burger's model as well as two other empirical models suggested by previous researchers. A number of the parameters determined for each model are dependent on stress and influenced by the presence of water. Based on the experimental results, an empirical relation between the applied stress and the time-dependent strain is established separately for each air-dried and fully water-saturated Daejeon granite.

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

  • Lee, Cherl-Ho;Kim, Cheol-Won
    • Korean Journal of Food Science and Technology
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    • v.15 no.3
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    • pp.295-301
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    • 1983
  • The mechanical models representing the theological property of traditional Korean noodles; i.e. wheat flour noodle and wheat-sweet potato starch noddle, were investigated from the data obtained by creep and creep recovery test using a tensile tester. The rheological behavior of the noodle products could be expressed by the 6-elements Voigt model. The instantaneous elasticity, retarded elasticity, retardation time, retarded viscosity and Newtonian viscosity of the noodle products were evaluated. With the increasing cooking time, 4-elements Burger's model was applicable to represent the mechanical behavior of wheat-sweet potato starch noodle.

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