• Title/Summary/Keyword: membrane theory

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The Service State Behavior of Reinforced Concrete Membrane Elements using Rotating Crack Model

  • Bhang, Jee-Hwan;Kang, Won-Ho
    • KCI Concrete Journal
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    • v.11 no.3
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    • pp.53-64
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    • 1999
  • A theory is proposed to predict the response of the load-deformation relationship of the reinforced concrete structures under the service state after cracking. The crack direction and concrete strains through the loading history before failure can be estimated by this theory based on the rotating crack model, which considers equilibrium, compatibility conditions, and average stress-strain relationship. The proposed crack direction and deformation show good agreement with test results under service state. The behavior of a variety of concrete structures, such as shear walls, deep beams and the web of box girders, can be predicted by this proposed theory under service state.

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A refined finite element for first-order plate and shell analysis

  • Han, Sung-Cheon;Kanok-Nukulchai, Worsak;Lee, Won-Hong
    • Structural Engineering and Mechanics
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    • v.40 no.2
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    • pp.191-213
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    • 2011
  • This paper presents an improved 8-node shell element for the analysis of plates and shells. The finite element, based on a refined first-order shear deformation theory, is further improved by the combined use of assumed natural strain method. We analyze the influence of the shell element with the different patterns of sampling points for interpolating different components of strains. Using the assumed natural strain method with proper interpolation functions, the present shell element generates neither membrane nor shear locking behavior even when full integration is used in the formulation. Further, a refined first-order shear deformation theory, which results in parabolic through-thickness distribution of the transverse shear strains from the formulation based on the third-order shear deformation theory, is proposed. This formulation eliminates the need for shear correction factors in the first-order theory. Numerical examples demonstrate that the present element perform better in comparison with other shell elements.

Initial Shape Finding and Stress-Deformation Analysis of Pretensioned Membrane Structures with Triangular Constants Strain Element (TCS요소론 이용한 인장 막구조물의 초기명상해석 및 응력변형해석)

  • Ko, Hyuk-Jun;Song, Pyung-Hun;Song, Ho-San
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.230-237
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    • 2004
  • In this study, equation of finite element is formulated to analyze relations of large deformation-small deformation considering geometrical nonlinear for membrane structure. Total Lagrangian Formulation(TLF) is introduced to formulate theory and equation of motion considering Triangular Constant Strain(TCS) element in finite, element analysis is formulated. Finite element program is made by equation of motion considering TLF. This study analyzed a variety of examples, so compared with the past results.

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Pontoon and Membrane Breakwater

  • Kee, S.T.
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2003.05a
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    • pp.185-191
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    • 2003
  • A numerical study on the hydrodynamic properties of a floating flexible breakwater consisting of triple vertical porous membrane structures attached to a floating rigid pontoon restrained by moorings is carried out in the context of two-dimensional linear wave-flexible body interaction theory. The tensions in the triple membranes are achieved by hanging a clump weight from its lower ends. The clump weight is also restrained properly by moorings. The dynamic behavior of the breakwater was described through an appropriate Green function, and the fluid multi-domains are incorporated into the boundary integral equation. Numerical results are presented which illustrate the effects of the various wave and structural parameters on the efficiency of the breakwater as a barrier to wave action. It is found that the wave reflection and transmission properties of the structures depends strongly on the membrane length taking major fraction of water column, the magnitude of tensions on membrane achieving by the clump weight, proper mooring types and stiffness, the permeability on the membrane dissipating wave energy.

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Performance prediction of flat sheet commercial nanofiltration membrane using Donnan-Steric Pore Model

  • Qadir, Danial;Nasir, Rizwan;Mukhtar, Hilmi;Uddin, Fahim
    • Membrane and Water Treatment
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    • v.12 no.2
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    • pp.59-64
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    • 2021
  • The rejection of sodium chloride (NaCl) and calcium chloride (CaCl2) single salt solutions were carried out for commercial nanofiltration NFDK membrane. Results showed that the NFDK membrane had a negative surface charge and had a higher observed rejection of 93.65% for calcium (Ca2+) ion and 78.27% for sodium (Na+) ions. Prediction of rejection for aqueous solutions of both salts was made using Donnan Steric Pore Model based on Extended Nernst-Planck Equation in addition to concentration polarization film theory. A MATLAB program was developed to execute the model calculations. Absolute Average Relative Error (% AARE) was found below 5% for real rejection of the NFDK membrane. This research could be used successfully to assess the membrane characterization parameter using a proposed procedure which can reduce the number of experiments.

Dehydration of Pyridine Aqueous Solution through Poly(acryionitrile-co-4-styrene sulfonic acid) Membranes by Pervaporation

  • Wang, Wun-Jae;Oh, Boo-Keun;Lee, Young-Moo
    • Proceedings of the Membrane Society of Korea Conference
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    • 1994.04a
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    • pp.55-56
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    • 1994
  • There has been many attempts to improve the membrane performance using pervaporation processes[l-3]. They are 1) blending polymer with the high flux and one with high selectivity, 2) an incorporation of functional groups interacting with permeants into a membrane through copolymerization or modification, 3) composite membrane or asymmetric membrane structure with a thin skin layer which acts as a selective layer. Among them, a polymeric membrane containing ion complex group receives an extensive attention recently because ionic complex is known to activate the water transport through ion-dipole interaction. It is especially advantageous in the separation of organic-water system. We applied the ideas of the activation of water transport through ion-dipole. We have reported on the in-sire complex membrane to separate water from aqueous aceiic acid and pyridme solution[4-5] based on the simple acid-base theory. Water transport was enhanced through in-situ complex between pyridine moiety in the membrane and the incoming acetic acid in the feed. In this case, catalytic transport mechanism was proposed. In the present study we used pyridine solution as a feed and the sulfonic acid group in the membrane.

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Separation of Heavy Metal Ions across Novel Mosaic Membrane (하전모자이크 막을 사용하여 중금속이온의 분리)

  • Song, Myung-Kwan;Lee, Jang-Oo;Yang, Wong-Kang
    • Proceedings of the Membrane Society of Korea Conference
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    • 2005.11a
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    • pp.96-101
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    • 2005
  • A theory for the material transports through ion exchange membrane has been developed on the basis of nonequilibrium thermodynamics by removing the assumption of solvent flow in the previous paper and applied to a detailed study of the ionic transport properties of new charged mosaic membrane(CMM) system. The CMM having two different fixed charges in the polymer membrane indicated unique selective transport behavior then ion-exchange membrane. The separation behavior of ion transport across the CMM with a parallel array of positive and negative functional charges were investigated. It was well-known the analysis of the volume flux and solute flux based on nonequilibrium thermodynamics. Our suggests preferential salt transport across the charged mosaic membranes. Transport properties of heavy metal ions, $Mg^{2+}$, $Mn^{2+}$and sucrose system across the charged mosaic membrane were estimated. As a result, we were known metal salts transport depended largely on the CMM. The reflection coefficient indicated the negative value that suggested preferential material transport and was independent of charged mosaic membrane thickness.

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Analytical solution and experimental study of membrane penetration in triaxial test

  • Ji, Enyue;Zhu, Jungao;Chen, Shengshui;Jin, Wei
    • Geomechanics and Engineering
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    • v.13 no.6
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    • pp.1027-1044
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    • 2017
  • Membrane penetration is the most important factor influencing the measurement of volume change for triaxial consolidated-drained shear test for coarse-grained soil. The effective pressure p, average particle size $d_{50}$, thickness $t_m$ and elastic modulus $E_m$ of membrane, contact area between membrane and soil $A_m$ as well as the initial void ratio e are the major factors influencing membrane penetration. According to the membrane deformation model given by Kramer and Sivaneswaran, an analytical solution of the membrane penetration considering the initial void ratio is deduced using the energy conservation law. The basic equations from theory of plates and shells and the elastic mechanics are employed during the derivation. To verify the presented solution, isotropic consolidation tests of a coarse-grained soil are performed by using the method of embedding different diameter of iron rods in the triaxial samples, and volume changes due to membrane penetration are obtained. The predictions from presented solution and previous analytical solutions are compared with the test results. It is found that the prediction from presented analytical solution agrees well with the test results.

Study of Characteristic of Up-hill Transport in Alkali Metal-ions Through a Carrier Membrane (캐리어 막에 의한 알카리 금속 이온의 업-힐 수송의 특성 연구)

  • Park, Keunduck;Yang, Wongkang
    • Analytical Science and Technology
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    • v.12 no.3
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    • pp.224-229
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    • 1999
  • Recently, many studies for the supported liquid membrane (SLM) using a carrier have been actively reported. Polymeric cation exchange membrane was synthsized by dissolving monensin carrier of antibiotic material in organic solvent. Then the SLM was applied to the Nernst-Planck and Fick equations and membrane potential and membrane permeability were measured respectively. The results showed the high selectivity towards alkali metal ions and the SLM showed linear relationship with low concentration. However, linear relationship did not appear at high concentration. This is explained by means of the new theory of the stagnant layer and the slop of logarithm value was linear for the up-hill transport phenomena of membrane transport.

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Resonance and Response of the Submerged Dual Buoy/Porous-Membrane Breakwaters in Oblique Seas

  • Kee, S.T.
    • Journal of Ocean Engineering and Technology
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    • v.15 no.2
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    • pp.22-32
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    • 2001
  • The numerical investigation of obliquely incident wave interactions with fully submerged dual buoy/porous-membrane floating breakwaters placed in parallel with spacing is studied based on linear potential theory and Darcy's law. The numerical solutions are obtained by using a discrete-membrane dynamic model and second-kind modified Bessel function distribution over the entire boundaries of fluid regions. First, numerical solutions for an idealized dual submerged system without buoys are obtained. Second, a more practical dual submerged system with membrane tension provided by buoys at its tops is investigated by the multi-domain boundary element method particularly devised for dual buoy/porous-membrane problems with gaps. The velocity potentials of wave motion are coupled with porous-membrane deformation, and solved simultaneously since the boundary condition on porous-membrane is not known in advance. The effects of varying permeability on membranes and wave characteristics are discussed for the optimum design parameters of systems previously studied. The inclusion of permeability on membrane eliminates the resonances that aggravate the breakwater performance. The system is highly efficient when waves generated by the buoys and membranes were mutually canceled and its energy at resonance frequency dissipates through fine pores on membranes.

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