• Title/Summary/Keyword: Maxwell model

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Extinction Coefficient of Ag Nanofluids Manufactured by Chemical Reduction Method (화학적 환원법으로 제작한 은나노유체의 흡광계수)

  • Lee, S.H.;Kim, H.J.;Choi, T.J.;Kim, S.B.;Kang, Y.J.;Kim, D.J.;Jang, S.P.
    • Journal of ILASS-Korea
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    • v.20 no.1
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    • pp.53-58
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    • 2015
  • In this study, we prepare the Ag nanofluids synthesized by the chemical reduction method and measure the extinction coefficient of those nanofluids at a wavelength of 632.8 nm. The Ag nanofluids are synthesized by the chemical reduction method using silver nitrate ($AgNO_3$) and sodium borohydride ($NaBH_4$) in water and ethylene glycol (EG). For stable dispersion of Ag particles in the base liquids, polyvinyl pyrrolidone (PVP) is added as a surfactant. The extinction coefficient of manufactured Ag nanofluids is measured by an in-house developed measurement system at the wavelength of 632.8 nm. The results show that the extinction coefficient of water-based and EG-based Ag nanofluids is linearly increased with respect to the particle loadings. Moreover, it is shown that the extinction coefficient of EG-based Ag nanofludis is higher than that of water-based Ag nanofluids. Finally we compare the experimental results with both the Maxwell-Garnett model and Rayleigh scattering approximation model, and they demonstrate that the Rayleigh scattering approximation model is reasonably predict the extinction coefficient of Ag nanofluids using hydraulic diameter of silver nanoparticle.

The determination of continuous relaxation time spectrum of linear polymer (선형 고분자의 연속 완화시간 스펙트럼 결정)

  • 이일순
    • The Korean Journal of Rheology
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    • v.8 no.2
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    • pp.103-118
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    • 1996
  • 변형된 Maxwell 모델을 모의 데이터와 폴리스티렌의 동적 실험 데이터인 G'과 G "에 적용하여 연속 완화시간 스펙트럼을 결정하였고, Maxwell 모델을 사용했을 때 얻어지 는 불연속 완화시간 스펙트럼과 비교하였다. MGMM과 GMM 모두 선형회귀 방법과 비선 형회귀 방법을 사용하여 완화시간 스펙트럼을 결정하였는데 비선형 방법을 사용했을 때 선 형방법에 비해 좀 더 만족스러운 결과를 얻을수 있었다. 모의 데이터의 경우 사용한 완화시 간의 수가 많은 경우에는 MGMM과 GMM 모두 원래의 스펙트럼을 잘 재현했으나 완화시 간의 수가 작은 경우에는 MGMM이 GMM에 비해 원래의 완화시간 스펙트럼을 보다 잘 나 타내었다. 또 단분산성폴리스티렌의 경우 MGMM과 GMM의 완화시간 스펙트럼이 모두 작 은 완화시간 영역에서는 분자량에 무관했고 큰 완화시간 영역에서는 분자량이 커질수록 스 펙트럼이 완화시간이 커지는 쪽으로 이동하였다. 또 두드러진 terminal 완화시간을 볼수 있 었다. 그러나 다분산성 폴리스티렌의 경우에는 단분산성의 경우와는 달리 두드러진 terminal 완화시간을 볼수 없었다. 그리고 MGMM의 파라미터 m은 분자량 분포에 크게 의존함을 알 수 있었으며 연속 완화시간 스펙트럼에서 계산된 불연속 완화시간 스펙트럼이 GMM에서 얻어진 불연속 완화시간 스펙트럼과 잘 일치함을 볼수 있었다.

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Rheological Properties of Acorn Flour Gels by Stress Relaxation Test (응력완화 검사(stress relaxation test)에 의한 도토리묵의 물리적 특성)

  • 김영아;이혜수
    • Korean journal of food and cookery science
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    • v.1 no.1
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    • pp.53-56
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    • 1985
  • The rheological models of acorn flour gels with different concentrations were investigated by stress relaxation test. The analysis of relaxation curves by successive residual method revealed that the rheological behavior of acorn flour gels could be expressed by the 7-element, generalized Maxwell model. The equilibrium modulus and modulus of elasticity increased by the increment of acorn flour concentration.

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Continuous relaxation spectrum for the numerical analysis of concrete creep

  • Zi, Goang-Seup
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.05a
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    • pp.466-471
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    • 2004
  • Efficient numerical finite element analysis of creeping concrete structures requires the use Kelvin or Maxwell chain model, which is most conveniently identified from a continuous retardation or relaxation spectrum, the spectrum in turn being determined from the given compliance or relaxation function. The method of doing that within the context of solidification theory for creep with aging was previously worked out by Bazant and Xi, but only for the case of a continuous retardation spectrum based on Kelvin chain. The present paper is motivated by the need to incorporate concrete creep into the recently published microplane model M4 for nonlinear triaxial behavior of concrete, including tensile fracturing and behavior under compression. In that context. the Maxwell chain is more effective than Kelvin chain. because of the kinematic constraint of the microplanes used in M4. Determination of the continuous relaxation spectrum for Maxwell chain. based on the solidification theory, is outlined and numerical examples are presented.

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Development of Wall Slip Models for Rarefied Gas and MEMS Thermal Fluid Flows (희박기체 및 MEMS 열유동장 해석을 위한 벽면 슬립모델 개발)

  • Myong, Rho-Shin;Cho, Soo-Yong
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.7
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    • pp.90-97
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    • 2002
  • Wall slip models are essential to the study of nonequilibrium gas transport in rarefied and microscale condition that can be found in gas flows associated with aerospace vehicle, propulsion system, and MEMS. The Maxwell slip model has been used for this type of problem, but it has difficulty in defining the so-called accommodation coefficient and has not been very effective in numerical implementation. In the present study, on the basis of Langmuir's theory of the adsorption of gases on metals, a physical slip model is developed. The concept of the accommodation coefficient and the difference of gas particles are clearly explained in the new model. It turned out that the Langmuir model recovers the Maxwell model in the first-order approximation. The new models are also applied to various situations including internal flow in a microchannel. Issues of validation of models are treated by comparing analytic results with experiment.

Material model for load rate sensitivity

  • Kozar, Ivica;Ibrahimbegovic, Adnan;Rukavina, Tea
    • Coupled systems mechanics
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    • v.7 no.2
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    • pp.141-162
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    • 2018
  • This work presents a novel model for analysis of the loading rate influence onto structure response. The model is based on the principles of nonlinear system dynamics, i.e., consists of a system of nonlinear differential equations. In contrast to classical linearized models, this one comprises mass and loading as integral parts of the model. Application of the Kelvin and the Maxwell material models relates the novel formulation to the existing material formulations. All the analysis is performed on a proprietary computer program based on Wolfram Mathematica. This work can be considered as an extended proof of concept for the application of the nonlinear solid model in material response to dynamic loading.

Simulation of Bi-dispersed Electrorheological Fluids of Different Particle Sizes by the Extended Maxwell-Wagner Polarization Model (확장된 Maxwell-Wagner 분극 모델에 의한 서로 크기가 다른 입자들로 구성된 이성분계 전기유변 유체의 전산 모사)

  • Kim, Young Dae
    • Korean Chemical Engineering Research
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    • v.60 no.4
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    • pp.613-619
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    • 2022
  • The extended Maxwell-Wagner polarization model is employed to describe the ER(Electrorheological) behavior of bi-dispersed ER suspensions, and solutions to the equation of motion are obtained by dynamic simulation. Under the same particle volume fraction, it is found that the dynamic yield stresses of uniform size suspensions do not depend on the particle size. Compared with uniform size suspensions, the dynamic yield stress is reduced for ER fluids consisting of two kinds of particles with different sizes. Compared with the dynamic yield stress behavior, for ${\dot{\gamma}}^*$≧0.01 the shear stress shows different behaviors depending on the particle sizes and the raio of different size particles. The simulation results show the nonlinear ER behavior (∆𝛕 ∝ En, n ≈ 1.55) of the conducting particle ER suspensions.

Analysis of SAR Distribution Characteristics in a Head Model using FDTD (FDTD를 이용한 인체 두부모델의 SAR 분포특성 해석)

  • Hong, Dong-Uk;Kim, Doo-Hyun;Kang, Dong-Kyu
    • Journal of the Korean Society of Safety
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    • v.19 no.2
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    • pp.34-40
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    • 2004
  • This paper presents an analysis of SAR(Specific Absorption Rate) distribution characteristics in a head model using FDTD(Finite Difference Time Domain). In this study human head was modelled in four elements-layered structure, consisting of skin, fat, skull and brain. To calculate the electromagnetic fields wihtin the head model, FDTD method was used. In the FDTD method, the electromagnetic wave is analyzed by solving a Maxwell's equations repeatedly. For the calculation, distance between power source and head model increased by 10[m]. Power density and incident electric field intensity were calculated. Based on the incident electric field, the program which calaculated internal electric fields intensity and SAR calculation of the head model were developed. The results of developed program using FDTD were compared with those of a commericial programs, which showed the availability and usefulness of the suggested scheme in this paper.

Stress dependent relaxation time in large deformation

  • Waluyo, Sugeng
    • Structural Engineering and Mechanics
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    • v.61 no.3
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    • pp.317-323
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    • 2017
  • This work presents a new strategy to model stress dependent relaxation process in large deformation. The strategy is relied on the fact that in some particular soft materials undergoing large deformation, e.g., elastomers, rubbers and soft tissues, the relaxation time depends strongly on stress levels. To simplify the viscoelastic model, we consider that the relaxation time is the function of previous elastic deviatoric stress state experienced by materials during loading. Using the General Maxwell Model (GMM), we simulate numerically conditions with the constant and the stress dependent relaxation time for uniaxial tension and compression loading. Hence, it can be shown that the proposed model herein not only can represent different relaxation time for different stress level but also maintain the capability of the GMM to model hysteresis phenomena.

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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