• Title/Summary/Keyword: membrane theory

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A FIFTH ORDER NUMERICAL METHOD FOR SINGULARLY PERTURBED DIFFERENTIAL-DIFFERENCE EQUATIONS WITH NEGATIVE SHIFT

  • Chakravarthy, P. Pramod;Phaneendra, K.;Reddy, Y.N.
    • Journal of applied mathematics & informatics
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    • v.27 no.1_2
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    • pp.441-452
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    • 2009
  • In this paper, a fifth order numerical method is presented for solving singularly perturbed differential-difference equations with negative shift. In recent papers the term negative shift has been using for delay. Similar boundary value problems are associated with expected first exit time problem of the membrane, potential in models for neuron and in variational problems in control theory. In the numerical treatment for such type of boundary value problems, first we use Taylor approximation to tackle terms containing small shifts which converts it to a boundary value problem for singularly perturbed differential equation. The two point boundary value problem is transformed into general first order ordinary differential equation system. A discrete approximation of a fifth order compact difference scheme is presented for the first order system and is solved using the boundary conditions. Several numerical examples are solved and compared with exact solution. It is observed that present method approximates the exact solution very well.

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Analysis of 3-D Superplastic Forming/Diffusion Bonding Process Using a Hierarchical Contact Searching Method(I) (계층적 접촉 탐색방법을 이용한 3-D 초소성 성형/확산접합의 공정설계(I))

  • Kang, Y.K.;Song, J.S.;Hong, S.S.;Kwon, Y.N.;Lee, J.H.;Kim, Y.H.
    • Transactions of Materials Processing
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    • v.16 no.2 s.92
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    • pp.138-143
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    • 2007
  • Superplastic forming/diffusion bonding (SPF/DB) processes were analyzed using a 3-D rigid visco-plastic finite element method. A constant-triangular element based on membrane approximation and an incremental theory of plasticity are employed for the formulation. The coulomb friction law is used for interface friction between tool and material. Pressure-time relationship for a given optimal strain rate is calculated by stress and pressure values at the previous iteration step. In order to improve the contact searching, hierarchical search algorithm has been applied and implemented into the code. Various geometries including sandwich panel and 3 sheet shape for 3-D SPF/DB model are analyzed using the developed program. The validity fer the analysis is verified by comparison between analysis and results in the literature.

Single-Phase Impedance-Source Dynamic Voltage Restorer (단상 임피던스-소스 동적 전압 보상기)

  • Park, H.J.;Jung, Y.G.;Lim, Y.C.
    • Proceedings of the KIPE Conference
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    • 2008.06a
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    • pp.458-461
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    • 2008
  • This paper deals with a single-phase impedance-source dynamic voltage restorer (Impedance-DVR) to mitigate voltage sag/swell for the critical loads. The proposed system is composed of passive filter and impedance-source topology inverter. As an ESS(Energy Storage System) of the proposed system is employed the Proton Exchange Membrane Fuel Cells (PEMFC). To calculate and control the compensation voltage, single-phase $^id-^iq$ theory in dq rotating reference frame and PI controller are used. Simulation results under voltage sag and swell are presented to show the performance.

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3-D Finite Element Analysis of Superplastic Forming/Diffusion Bonding Processes with Consideration of Contact between Deformable Bodies (변형체간의 접촉을 고려한 3차원 초소성 성형/확산접합의 유한요소해석)

  • Kang, Yung-Kil;Song, Jae-Sun;Hong, Sung-Suk;Kim, Yong-Hwan
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.1
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    • pp.57-65
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    • 2008
  • Superplastic forming/diffusion bonding(SPF/DB) processes with inner contact were analyzed using a 3-D rigid visco-plastic finite element method. A constant-triangular element based on membrane approximation and an incremental theory of plasticity are employed for the formulation. The hierarchical search algorithm for the contact searching has been applied. The algorithms for contact force processing were designed to handle equally well contact between deformable bodies, as well as rigid bodies. The plate of three and four sheets for 3-D SPF/DB model are analyzed using the developed program. The validity for the analysis is verified by comparison between analysis, experiment and results in the literature.

Efficient Design Procedure of Concrete Dome and Ring Beam in Containment Structures (콘크리트 격납구조물 돔 및 링빔의 효율적인 설계 기법)

  • Jeon, Se-Jin;Kim, Young-Jin
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.139-140
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    • 2010
  • Combined analysis is required for the concrete dome and ring beam of containment structure due to the interaction in section forces. In this study, an efficient design procedure is proposed that can be used to determine the preliminary sections of the dome and ring beam as well as a proper level of prestress in the ring beam, prior to a detailed design. The procedure applies the membrane theory of the shell of revolution.

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An 8-node assumed strain element with explicit integration for isotropic and laminated composite shells

  • Kim, K.D.;Park, T.H.
    • Structural Engineering and Mechanics
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    • v.13 no.4
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    • pp.387-410
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    • 2002
  • Formulation of an 8 nodes assumed strain shell element is presented for the analysis of shells. The stiffness matrix based on the Mindlin-Reissner theory is analytically integrated through the thickness. The element is free of membrane and shear locking behavior by using the assumed strain method such that the element performs very well in modeling of thin shell structures. The material is assumed to be isotropic and laminated composite. The element has six degrees of freedom per node and can model the stiffened plates and shells. A great number of numerical testing carried out for the validation of present 8 node shell element are in good agreement with references.

Geometrically nonlinear analysis of FG doubly-curved and hyperbolical shells via laminated by new element

  • Rezaiee-Pajand, M.;Masoodi, Amir R.;Arabi, E.
    • Steel and Composite Structures
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    • v.28 no.3
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    • pp.389-401
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    • 2018
  • An isoparametric six-node triangular element is utilized for geometrically nonlinear analysis of functionally graded (FG) shells. To overcome the shear and membrane locking, the element is improved by using strain interpolation functions. The Total Lagrangian formulation is employed to include the large displacements and rotations. Finding the nonlinear behavior of FG shells via laminated modeling is also the goal. A power function is employed to formulate the variation of elastic modulus through the thickness of shells. The results are presented in two ways, including the general FGM formulation and the laminated modeling. The equilibrium path is obtained by using the Generalized Displacement Control Method. Some popular benchmarks, including hyperbolical shell structures are solved to declare the correctness and accuracy of proposed formulations.

Mechanism of Clonidine Permeation through Skin Based on Heterogeneous Structure (이형질적 이중구조로 분석한 피부에서의 클로니딘 투과기전)

  • Byun, Young-Ro;Kim, Young-Ha;Jeong, Seo-Young
    • Journal of Pharmaceutical Investigation
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    • v.19 no.1
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    • pp.39-46
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    • 1989
  • The clonidine transport mechanism through the skin was investigated with assumptions that epidermis is heterogeneous and two-layer membrane. Immobilization of clonidine was not found in stratum corneum but in viable epidermis. The sorption in the viable epidermis agreed with the dual sorption theory. Diffusion coefficient in stratum corneum was five order magnitude less than that in viable epidermis. In viable epidermis, the ratio of true diffusivity to apparent diffusivity increased initially then decreased as a function of clonidine concentration, and the true diffusivity was always larger than the apparent diffusivity.

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Functional Molecular Structure of Band 4.5 Protein of Human Erythrocyte Membrane (인체 적혈구막 Band 4.5 단백질의 기능적인 분자구조)

  • Hah, Jong-Sik
    • The Korean Journal of Physiology
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    • v.20 no.2
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    • pp.209-217
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    • 1986
  • The functional molecular weight of band 4.5 polypeptide was measured by applying the classical target theory to radiation inactivation data of the cytochalasin B binding. Band 4.5 polypeptides purified from human erythrocyte membranes were irradiated at -45 to $-50^{\circ}C$ with an increasing dose of 1.5 MeV electron beam, and after thawing, cytochalasin B binding activities were assayed. Each activity measured was reduced as a simple exponential function of radiation dose. $D_{37}$, dose appeared to be 6.7 mega rads, from which the target size (radiation sensitive mass) of band 4.5 polypeptide was calculated to be 95,500 daltons. This result with other informations available in literature suggests that band 4.5 polypeptide may exist as a dimer in human erythrocytes.

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ESTIMATION OF CAKE FORMATION ON MICROFILTRATION MEMBRANE SURFACE USING ZETA POTENTIAL

  • Alayemieka, Erewari;Lee, Seock-Heon;Oh, Jeong-Ik
    • Environmental Engineering Research
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    • v.11 no.4
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    • pp.201-207
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    • 2006
  • A simple empirical model with good quantitative prediction of inter-particle and intra-particle distance in a cake layer with respect to ionic strength was developed. The model is an inverse length scale with functions of interaction energy and hydrodynamic factor and it explains that the inter-particle and intra-particle distance in a cake is directly related to the effective size of particles. Particle compressibility with respect to ionic strength was also predicted by the model. The model corroborated very well with experimental results of polystyrene microsphere latex particles microfiltation in a dead end operation. From the results of the model, specific cake resistance could be controlled by the same variables affecting the height of particle energy barrier described by the Derjaguin-Landau-Verwey-Overbeek (DLVO) theory.