• Title/Summary/Keyword: Transition Force

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Energy and force transition between atoms and continuum in quasicontinuum method

  • Chang, Shu-Wei;Liao, Ying-Pao;Huang, Chang-Wei;Chen, Chuin-Shan
    • Interaction and multiscale mechanics
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    • v.7 no.1
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    • pp.543-561
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    • 2014
  • We present a full energy and force formulation of the quasicontinuum method with non-local and local transition elements. Non-local transition elements are developed to transmit inhomogeneity from the atomistic to the continuum regions. Local transition elements are developed to resolve the mathematical mismatch between non-local atoms and the local continuum. The rationale behind these transition elements is provided by analyzing the energy and force transitions between atoms and continuum under the Cauchy-Born rule. We show that breakdown of the Cauchy-Born rule occurs for slaved atoms of local elements within the cutoff of non-local atoms. The inadequacy of the Cauchy-Born rule at the transition region naturally leads to the need of atomistic treatment of transition slaved and transition representative atoms. Such an atomistic treatment together with a full or cutoff sampling allows non-local transition elements containing these transition entities to transmit inhomogeneity. Different force formulations for transition representative atoms and pure local representative atoms allow the local transition elements to resolve non-local and local mismatches. The method presented herein is validated by force calculations in an unstressed perfect crystal as well as an unrelaxed grain boundary model. A nanoindentation simulation in 3D is conducted to demonstrate the accuracy and efficiency of the proposed method.

Adsorption Isotherm Patterns According to the Interactions Between Adsorbed Particles (흡착입자간 상호작용에 따른 흡착등온선 패턴)

  • Kim, Cheol Ho
    • Korean Journal of Materials Research
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    • v.23 no.8
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    • pp.462-468
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    • 2013
  • We study and describe-from the point of view of the interactions of the adsorbed particles-three types of the adsorption isotherms, namely, Langmuir type adsorption isotherms, phase transition type adsorption isotherms, and adsorption limited type adsorption isotherms, which are observed by experiments. By introducing and using a one dimensional statistical occupancy model, we derived analytical adsorption isotherms for the no force, the attractive force, and the repulsive force exerted on the other adsorbed particles. Our derived adsorption isotherms qualitatively pretty well agree with the experimental results of the adsorption isotherms. To specify each adsorption type, Langmuir type adsorption is a phenomenon that occurs with no forces between the adsorbed particles, phase transition type adsorption is a phenomenon that occurs with the strong attractive forces between the adsorbed particles, and adsorption limited type adsorption is a phenomenon that occurs with the repulsive forces between the adsorbed particles. The theoretical analysis-only using fundamental thermodynamics and occupancy statistics though-qualitatively quite well explains the experimental results.

Multibubble Dynamics in an Acoustic Field: Theoretical Study and Direct Numerical Simulation by MTS-DiCUP

  • Ida M.
    • 한국전산유체공학회:학술대회논문집
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    • 2003.10a
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    • pp.167-169
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    • 2003
  • This paper presents a theoretical study concerning multibubble dynamics in a sound field and the numerical validation for it by employing our new CFD code MTS-DiCUP. In recent papers, the author has shown theoretically that an unknown characteristic frequency, named 'transition frequency,' exists in a multibubble system. For a N -bubble case, up to 2N -1 transition frequencies per bubble have been predicted, only N ones of them correspond to the natural frequencies of the system. The transition frequencies that do not correspond to the natural frequencies give rise to the phase reversal of bubbles' pulsation without resonant response. In this paper, it has been suggested theoretically that those transition frequencies may cause the sign reversal of the secondary Bjerknes force, which is an interaction force acting between acoustically coupled gas bubbles. This theoretical result has been validated by the direct numerical simulation, at least in a qualitative sense.

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The criteria for the change ratio of track stiffness along transition area (접속구간 궤도강성변화 기준에 관한 연구)

  • Yang, Sin-Chu;Moon, Jae-Woo;Yu, Jin-Young
    • Proceedings of the KSR Conference
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    • 2007.05a
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    • pp.351-357
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    • 2007
  • The transition zone between railway embankment and structures, or different track types is known to be an area in which problems often arise and where extra care needs to be taken with maintenance. Differences in track stiffness have dynamic effects and these increase the force in the track and the extent of deformation. In this study, the criteria for the change ratio of track stiffness along transition area, and proper transition length are presented through train/track interaction analyses. Those are derived on the basis of permissible limitations of train and track performances such as rail stress, uplift force of fastener, reduction of dynamic wheel force, and acceleration of car body. A feasible method of evaluation of track stiffness which is necessary when a designer reviews whether the criteria are satisfied or not is also presented.

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Aerodynamic effects of subgrade-tunnel transition on high-speed railway by wind tunnel tests

  • Zhang, Jingyu;Zhang, Mingjin;Li, Yongle;Fang, Chen
    • Wind and Structures
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    • v.28 no.4
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    • pp.203-213
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    • 2019
  • The topography and geomorphology are complex and changeable in western China, so the railway transition section is common. To investigate the aerodynamic effect of the subgrade-tunnel transition section, including a cutting-tunnel transition section, an embankment-tunnel transition section and two typical scenarios for rail infrastructures, is selected as research objects. In this paper, models of standard cutting, embankment and CRH2 high-speed train with the scale of 1:20 were established in wind tunnel tests. The wind speed profiles above the railway and the aerodynamic forces of the vehicles at different positions along the railway were measured by using Cobra probe and dynamometric balance respectively. The test results show: The influence range of cutting-tunnel transition section is larger than that of the embankment-tunnel transition section, and the maximum impact height exceeds 320mm (corresponding to 6.4m in full scale). The wind speed profile at the railway junction is greatly affected by the tunnel. Under the condition of the double track, the side force coefficient on the leeward side is negative. For embankment-tunnel transition section, the lift force coefficient of the vehicle is positive which is unsafe for operation when the vehicle is at the railway line junction.

Rail Pressure on the Changing Point of Track Modulus (궤도강성변화구간의 레일압력 분포에 관한 연구)

  • 이기승;천진녕;김성칠;권순섭
    • Proceedings of the KSR Conference
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    • 2002.05a
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    • pp.228-233
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    • 2002
  • The transition between bridge or tunnel and plain track has different rail pressure and distributed stress on formation. This paper shows distribution of rail pressure on transition at which spring stiffness are changed. By this study, it is revealed that the changing into relatively high stiffness causes increased rail pressure visibly and draw up dynamic track force. A medium stiffness structure and reinforced rail could be effective for reducing track force on the transition.

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On the strong attractive force dependence of the surface phase transition : Qualitative consideration from the occupation statistics (표면상변이의 강인력 의존성 : 점유통계를 이용한 정성적 고찰)

  • 김철호
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.7 no.4
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    • pp.573-577
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    • 1997
  • Surface phase transition is known to be observed at the system that there exists a strong attractive potential between particles adsorbed. This study presents a dependence of the surface phase transition on strong attractive force using a simple occupation statistical method. It was found that the system exhibits a phase transition from the vacuum phase into the population phase and the critical pressure also increases with the temperature. This fact indicates that these results explain well qualitatively the surface phase transition.

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Adhesion Force Analysis of Charged Particles for the E-paper (전자 종이용 하전 입자의 부착력 분석)

  • Kim, Seung-Taek;Kim, Hyung-Tae;Lee, Sang-Ho;Kim, Jong-Seok
    • Journal of the Semiconductor & Display Technology
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    • v.9 no.4
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    • pp.87-91
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    • 2010
  • Charged micro-particles are widely used as the key components for many electrical applications such as an e-paper, a touch panel, a printer toner and an electronic ink. Among them, the e-paper is an emerging reflective type display using the charged particles that has the advantages of the extremely low power consumption and sunlight readability. To create images on the e-paper, we confine black positively-charged and white negatively-charged particles between bottom and top electrodes and selectively apply the electric field. When the Coulomb force by an applied electric field is greater than the adhesion force between the charged particle and the electrode, the particles' transition happens resulting in the change of color between black and white. Therefore, the adhesion force is a very important factor for designing and estimating e-paper's operation. In this study, we constructed a basic model for particle's transition and an adhesion force equation describing particle's transition with three different forces: electrostatic image force, Van der Waals force and gravitational force. The simulation results showed that the gravitational force is negligible for the interesting range for the charge and the radius, and the adhesion force can be strongly dependent on the particle's charge and radius.

A simple method for estimating transition locations on blade surface of model propellers to be used for calculating viscous force

  • Yao, Huilan;Zhang, Huaixin
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.10 no.4
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    • pp.477-490
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    • 2018
  • Effects of inflow Reynolds number (Re), turbulence intensity (I) and pressure gradient on the transition flow over a blade section were studied using the ${\gamma}-Re{\theta}$ transition model (STAR-CCM+). Results show that the $Re_T$ (transition Re) at the transition location ($P_T$) varies strongly with Re, I and the magnitude of pressure gradient. The $Re_T$ increases significantly with the increase of the magnitude of favorable pressure gradient. It demonstrates that the $Re_T$ on different blade sections of a rotating propeller are different. More importantly, when there is strong adverse pressure gradient, the $P_T$ is always close to the minimum pressure point. Based on these conclusions, the $P_T$ on model propeller blade surface can be estimated. Numerical investigations of pressure distribution and transition flow on a propeller blade section prove these findings. Last, a simple method was proposed to estimate the $P_T$ only based on the propeller geometry and the advance coefficient.

Influence of Stick-Slip Behavior on the Friction Force under Fretting Conditions (프레팅 조건 하에서 스틱-슬립 현상이 마찰력에 미치는 영향)

  • Lee Young-Ze;Jeong Sung-Hoon;Yong Suk-Ju
    • Tribology and Lubricants
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    • v.21 no.1
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    • pp.16-20
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    • 2005
  • Friction and wear characteristics between two steel surfaces under fretting condition are investigated experimentally. The fretting damage caused by low-amplitude oscillatory sliding can be classified into three regimes of gross-slip, mixed-slip and partial-slip due to stick-slip phenomenon. One of the most important characteristics of fretting wear is the transition from gross-slip to mixed-slip. This study was focused on getting the degree of stick-slip out of the friction transition under fretting condition. Fretting wear is divided into three conditions of gross-slip/mixed-slip/partial-slip. The criteria for the division are friction and displacement amplitude, wear scar morphology and dissipated energy. In this test, friction force and displacement were measured for detecting the transition from mixed-slip to gross-slip and qualitatively predicting the degree of the wear.