• 제목/요약/키워드: equilibrium paths

검색결과 45건 처리시간 0.022초

A Single Cell Multimedia Fate Model for Endocrine Disrupting Chemicals

  • Park, Kyunghee;Junheon Youn;Daeil Kang;Lee, Choong;Lee, Dongsoo;Jaeryoung Oh;Sunghwan Jeon;Jingyun Na
    • 한국환경독성학회:학술대회논문집
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    • 한국환경독성학회 2003년도 춘계학술대회
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    • pp.149-149
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    • 2003
  • To understand environmental paths of the transport and accumulation of endocrine disrupting chemicals (EDCs), a single cell multimedia fate model has been constructed and evaluated. The EDCs of concern were PAHs, Organochlorine Pesticides (OCPs), PCBs, Alkyl phenols, and phthalates. An evaluation model was designed for the multimedia distribution, including air, water, soil, sediment and vegetation. This model was verified using reported values and via monitoring data. Based on collected data, the distribution trends of EDCs with respect to environmental media were analyzed. Those results have applied to the model for the prediction of the spatial and temporal distribution of EDCs in Seoul. Especially, phenol compound, phthalates, PAHs, PCBs and organochlorine pesticides were estimated and the model was verified. This model was successfully conducted to environmental media, such as air (vapor and suspended particles), soils (forest soil, bare soil, and cement-concrete covered soil), water (dissolved and suspended solids), sediment, trees (deciduous and coniferous). The discrepancies between the model prediction and the measured data are approximately within or near a factor of 10 for the PAHs of three rings through that of six rings, implying that multimedia distribution of the PAHs could be predicted with a factor of 10. Concerning about the air equilibrium may be assumed, a fugacity at steady state is similar in all environmental media. Considering the uncertainties of this model, the use of equilibrium models may be sufficient for assessing chemical fates. In this study, a suggestion was made that modeling and estimation of chemicals in environmental multimedia be rigorously evaluated using the measured flux data. In addition, these data should be obtained, for example, from the precise and standardized inventory of the target chemicals. The model (EDC Seoul) will be refined in an on-going research effort and will be used to support decision-making concerning the management of EDCs.

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Crack effect on the elastic buckling behavior of axially and eccentrically loaded columns

  • Zhou, L.;Huang, Y.
    • Structural Engineering and Mechanics
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    • 제22권2호
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    • pp.169-184
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    • 2006
  • A close form solution of the maximum deflection for cracked columns with rectangular cross-sections was developed and thus the elastic buckling behavior and ultimate bearing capacity were studied analytically. First, taking into account the effect of the crack in the potential energy of elastic systems, a trigonometric series solution for the elastic deflection equation of an arbitrary crack position was derived by use of the Rayleigh-Ritz energy method and an analytical expression of the maximum deflection was obtained. By comparison with the rotational spring model (Okamura et al. 1969) and the equivalent stiffness method (Sinha et al. 2002), the advantages of the present solution are that there are few assumed conditions and the effect of axial compression on crack closure was considered. Second, based on the above solutions, the equilibrium paths of the elastic buckling were analytically described for cracked columns subjected to both axial and eccentric compressive load. Finally, as examples, the influence of crack depth, load eccentricity and column slenderness on the elastic buckling behavior was investigated in the case of a rectangular column with a single-edge crack. The relationship of the load capacity of the column with respect to crack depth and eccentricity or slenderness was also illustrated. The analytical and numerical results from the examples show that there are three kinds of collapse mechanisms for the various states of cracking, eccentricity and slenderness. These are the bifurcation for axial compression, the limit point instability for the condition of the deeper crack and lighter eccentricity and the fracture for higher eccentricity. As a result, the conception of critical transition eccentricity $(e/h)_c$, from limit-point buckling to fracture failure, was proposed and the critical values of $(e/h)_c$ were numerically determined for various eccentricities, crack depths and slenderness.

Study of the Kinetic Effects on Relativistic Unmagnetized Shocks using 3D PIC Simulations

  • 최은진;민경욱;최청림
    • 천문학회보
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    • 제37권2호
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    • pp.101.2-101.2
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    • 2012
  • Shocks are ubiquitous in astrophysical plasmas: bow shocks are formed by the interaction of solar wind with planetary magnetic fields, and supernova explosions and jets produce shocks in interstellar and intergalactic spaces. The global morphologies of these shocks are usually described by a set of magnetohydrodynamic (MHD) equations which tacitly assumes local thermal equilibrium, and the resulting Rankine-Hugoniot shock jump conditions are applied to obtain the relationship between the upstream and downstream physical quantities. While thermal equilibrium can be achieved easily in collisional fluids, it is generally believed that collisions are infrequent in astrophysical settings. In fact, shock widths are much smaller than collisional mean free paths and a variety of kinetic phenomena are seen at the shock fronts according to in situ observations of planetary shocks. Hence, both the MHD and kinetic equations have been adopted in theoretical and numerical studies to describe different aspects of the physical phenomena associated with astrophysical shocks. In this paper, we present the results of 3D relativistic particle-in-cell (PIC) simulations for ion-electron plasmas, with focus on the shock structures: when a jet propagates into an unmagnetized ambient plasma, a shock forms in the nonlinear stage of the Weibel instability. As the shock shows the structures that resemble those predicted in MHD systems, we compare the results with those predicted in the MHD shocks. We also discuss the thermalization processes of the upstream flows based on the time evolutions of the phase space and the velocity distribution, as well as the wave spectra analyses.

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활절로 지지된 원통형 적층복합쉘의 기하학적 비선형 해석 (Geometrically Nonlinear Analysis of Hinged Cylindrical Laminated Composite Shells)

  • 한성천
    • 복합신소재구조학회 논문집
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    • 제3권2호
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    • pp.1-10
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    • 2012
  • In the present study, an Element-Based Lagrangian Formulation for the nonlinear analysis of shell structures is presented. The strains, stresses and constitutive equations based on the natural co-ordinate have been used throughout the Element-Based Lagrangian Formulation of the present shell element which offers an advantage of easy implementation compared with the traditional Lagrangian Formulation. The Element-Based Lagrangian Formulation of a 9-node resultant-stress shell element is presented for the anisotropic composite material. The element is free of both membrane and shear locking behavior by using the assumed natural strain method such that the element performs very well in thin shell problems. The arc-length control method is used to trace complex equilibrium paths in thin shell applications. Numerical examples for laminated composite curved shells presented herein clearly show the validity of the present approach and the accuracy of the developed shell element.

Thermo-mechanical postbuckling of symmetric S-FGM plates resting on Pasternak elastic foundations using hyperbolic shear deformation theory

  • Chikh, Abdelbaki;Bakora, Ahmed;Heireche, Houari;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
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    • 제57권4호
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    • pp.617-639
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    • 2016
  • In this work, an analytical formulation based on both hyperbolic shear deformation theory and stress function, is presented to study the nonlinear post-buckling response of symmetric functionally graded plates supported by elastic foundations and subjected to in-plane compressive, thermal and thermo-mechanical loads. Elastic properties of material are based on sigmoid power law and varying across the thickness of the plate (S-FGM). In the present formulation, Von Karman nonlinearity and initial geometrical imperfection of plate are also taken into account. By utilizing Galerkin procedure, closed-form expressions of buckling loads and post-buckling equilibrium paths for simply supported plates are obtained. The effects of different parameters such as material and geometrical characteristics, temperature, boundary conditions, foundation stiffness and imperfection on the mechanical and thermal buckling and post-buckling loading capacity of the S-FGM plates are investigated.

Thermal post-buckling behavior of imperfect temperature-dependent sandwich FGM plates resting on Pasternak elastic foundation

  • Barka, Merbouha;Benrahou, Kouider Halim;Bakora, Ahmed;Tounsi, Abdelouahed
    • Steel and Composite Structures
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    • 제22권1호
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    • pp.91-112
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    • 2016
  • In this paper, post-buckling behavior of sandwich plates with functionally graded (FG) face sheets under uniform temperature rise loading is examined based on both sinusoidal shear deformation theory and stress function. It is supposed that the sandwich plate is in contact with an elastic foundation during deformation, which acts in both compression and tension. Thermo-elastic non-homogeneous properties of FG layers change smoothly by the variation of power law within the thickness, and temperature dependency of material constituents is considered in the formulation. In the present development, Von Karman nonlinearity and initial geometrical imperfection of sandwich plate are also taken into account. By employing Galerkin method, analytical solutions of thermal buckling and post-buckling equilibrium paths for simply supported plates are determined. Numerical examples presented in the present study discuss the effects of gradient index, sandwich plate geometry, geometrical imperfection, temperature dependency, and the elastic foundation parameters.

단층 래티스돔의 안정해석기법 및 좌굴특성에 관한 연구 (A Study on the Analytical Technique of Stability and Buckling Characteristics of the Single Layer Latticed Domes)

  • 한상을
    • 전산구조공학
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    • 제9권3호
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    • pp.209-216
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    • 1996
  • 본 논문의 목적은 단층래티스 돔의 안정해석 기법을 제안하고, 다양한 조건하에서 단층 래티스 돔이 갖는 좌굴특성을 규명하는데 있다. 기하학적 비선형 평형경로의 탐색 및 좌굴점 그리고 분기경로의 방향 등을 수직적으로 계산하기 위하여 호장법(Arc-Length Method)을 이용하였으며, 부재의 좌굴가능성을 판단하기 위하여 에너지밀도함수를 제안하였다. 강절점을 갖는 구조물의 거동 특성을 규명하기 위하여 3종류의 비선형 강성행렬을 유도하여 해석하였으며, semi-rigid절점을 갖는 구조물을 해석하기 위하여 스프링모델을 제안하고, 부재의 세장비, 반개각, 경계조건 및 다양한 하중조건을 파라메터로하여 좌굴특성을 규명하였다.

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후좌굴 변단면 기둥의 기하 비선형 해석 (Geometrical Nonlinear Analyses of Post-buckled Columns with Variable Cross-section)

  • 이병구;김석기;이태은;김권식
    • 대한토목학회논문집
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    • 제29권1A호
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    • pp.53-60
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    • 2009
  • 이 논문은 양단회전 후좌굴 변단면 기둥의 기하 비선형 해석에 관한 연구이다. 기둥의 변단면은 변화폭, 변화깊이, 정방형 변단면으로 채택하였다. Bernoulli-Euler 보 이론을 이용하여 후좌굴 기둥의 정확탄성곡선을 지배하는 미분방정식을 유도하였다. 이 미분방정식은 두 개의 미지수를 가지며 이러한 미분방정식을 풀 수 있는 수치해석 방법을 개발하였다. 후좌굴 기둥의 수치해석 결과로 평형경로, 정확탄성곡선 및 합응력을 산정하였다. 실험을 통하여 후좌굴 거동의 이론을 검증하였다.

확률적 로짓 통행배정모형의 해석 알고리듬 (Solution Algorithms for Logit Stochastic User Equilibrium Assignment Model)

  • 임용택
    • 대한교통학회지
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    • 제21권2호
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    • pp.95-105
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    • 2003
  • 확률적 통행배정모형은 확정적 모형이 갖는 여러 경직된 가정들을 완화시킬 수 있다는 점에서 많은 연구자들의 연구대상이 되어왔으나, 확률개념이 모형에 내포됨에 따라 풀기가 쉽지 않다는 한계를 갖고 있다. 또한 현재까지 제시된 모형들도 교통망부하(Network loading) 단계에서 대안경로수를 제한함으로서 교통량에 종속적인 통행비용이 변하는 경우. 이를 선택대안의 변화로 반영하지 못하는 문제점과 확률적 사용자균형해를 구하는 단계에서 휴리스틱하게 접근하는 문제점들을 갖고 있다. 본 연구에서는 이들 확률적 통행배정모형의 문제점들을 해결할 수 있는 새로운 모형과 이를 풀기 위한 알고리듬을 제시하는데 목적이 있다. 제시되는 모형들은 로짓모형을 기반으로 개발되며 Wardrop의 확률적 균형상태를 도출하게 된다. 풀이 알고리듬은 링크가 아닌 경로를 기반으로 구축되는데, 모든 경로를 열거해야 하는 어려움이 있지만. 선택경로를 제한함으로서 발생되는 문제를 피할 수 있으며, 초기에 한번만 모든 경로를 열거해놓으면 이를 계속 사용하기 때문에 계산시간도 줄일 수 있다. 또한 본 연구에서 제시되는 수리최소화모형은 목적함수를 직접 평가(evaluation)하기 때문에 수렴해에 신속히 수렴하며, Sheffi(1985)가 제시한 동등 수리모형(equivalent mathematical program)보다 이해하기 쉽다는 장점이 있다. 제시된 모형을 평가하기 위하여 예제 교통망을 이용하며, 각 모형들의 장단점을 분석하였다.

Sintering and Microwave Dielectric Properties Of Ba2Ti9O20 Ceramics Prepared by Precursor Method

  • Sung, Je-Hong;Lee, Joon-Hyung;Kim, Jeong-Joo;Lee, Hee-Young;Cho, Sang-Hee
    • 한국세라믹학회지
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    • 제40권4호
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    • pp.365-370
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    • 2003
  • The phase development process of $Ba_2$ $Ti_{9}$ $O_{20}$ ceramics is not clearly known and frequently accompanies second phases which deteriorate dielectric properties. In synthesizing $Ba_2$ $Ti_{9}$ $O_{20}$ ceramics, in order to trace the reaction sequence during conventional solid-state reaction in BaO-Ti $O_2$ system, different barium sources of BaC0$_3$ and BaTi0$_3$ precursor were used as starting materials. From the analysis of XRD patterns, different secondary phases could be identified depending on the barium source used, which might mean that the equilibrium phases in BaO-Ti $O_2$ system are very difficult to be synthesized. Because the BaTi0$_3$ precursor provides short diffusion paths of ions, the system revealed less secondary phases during solid state reaction. In synthesizing BaO-xSm$_2$0$_3$-4.5Ti0$_2$ system using different barium sources, different secondary phases were developed also. Microstructure and dielectric properties were examined and discussed in terms of secondary phase development.