• Title/Summary/Keyword: Internal boundary conditions

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p-Version Finite Element Model of Cracked Plates Including Shear Deformation under Flexural Behavior (휨거동을 받는 균열판의 전단변형을 고려한 p-Version 유한요소모델)

  • Lee, C.G.;K.S.Woo;Shin, Y.S.
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.16-23
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    • 1993
  • The new p-version crack model is proposed to estimate the bending stress intensity factors of the thick cracked plate under flexure. The proposed model is based on high order theory and $C^{\circ}$-plate element including shear deformation. The displacements fields are defined by integrals of Legerdre polynomials which can be classified into three groups such as basic mode, side mode and internal mode. The computer implementation allows arbitrary variations of p-level up to a maximum value of 10. The bending stress intensity factors are computed by virtual crack extention approach. The effects of ratios of thickness to crack length(h/a), crack length to width(a/W) and boundary conditions are investigated. Very good agreement with the existing solution in the literature are shown for the uncracked plate as well as the cracked plate.

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A comprehensive analysis of horizontally polarized shear waves in a thin microstructural plate

  • Vikas Sharma;Satish Kumar
    • Structural Engineering and Mechanics
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    • v.85 no.4
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    • pp.501-510
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    • 2023
  • Horizontally polarized shear waves (SH) have numerous applications in various scientific, engineering, and medical fields. The study deals with an investigation of SH-waves in a thin microstructural plate. The plate has been mathematically modelled by employing size dependent consistent couple stress theory, which involves a length parameter, known as characteristic length. Characteristic length is assumed to be of the order of internal microstructures of the material. Dispersion relations have been calculated for the propagation of SH-waves using different set of boundary conditions. Group velocity of the SH-waves has been calculated by using an analytical approach. The mathematical results obtained in the problem are discussed in detail and the impacts of characteristic length parameter and thickness of plate are presented on phase velocity of SH-waves through graphical illustrations.

HEAT TRANSFER ENHANCEMENT IN CHANNEL FLOW BY A STREAMWISE-PERIODIC ARRAY OF CIRCULAR CYLINDERS (주기적으로 배열된 원형 실린더를 이용한 채널 유동의 열전달 증진)

  • Jeong, Taekyeong;Yang, Kyung-Soo;Lee, Kyongjun;Kang, Changwoo
    • Journal of computational fluids engineering
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    • v.18 no.2
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    • pp.85-92
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    • 2013
  • In this study, we consider heat transfer enhancement in laminar channel flow by means of an infinite streamwise array of equispaced identical circular cylinders. This flow configuration can be regarded as a model representing a micro channel or an internal heat exchanger with cylindrical vortex generators. A numerical parametric study has been carried out by varying Reynolds number based on the bulk mean velocity and the cylinder diameter, and the gap between the cylinders and the channel wall. An immersed boundary method was employed to facilitate to implement the cylinders on a Cartesian grid system. No-slip condition is employed at all solid boundaries including the cylinders, and the flow is assumed to be periodic in the streamwise direction. Also, the Prandtl number is fixed as 0.7. For thermal boundary conditions on the solid surfaces, it is assumed that heat flux is constant on the channel walls, while the cylinder surfaces remain adiabatic. The presence of the circular cylinders arranged periodically in the streamwise direction causes a significant topological change of the flow, leading to heat transfer enhancement on the channel walls. The Nusselt number averaged on the channel wall is presented for the wide ranges of Reynolds number and the gap. A significant heat transfer enhancement is noticed when the gap is larger than 0.8, while the opposite is the case for smaller gaps. More quantitative results as well as qualitative physical explanations are presented to justify the effectiveness of varying the gap to enhance heat transfer from the channel walls.

Optimum Design For a Highly Integrated Tall Building System (초고밀도 고층복합빌딩시스템의 최적설계)

  • Cho, Taejun;Kim, Tae-Soo
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.6 no.1
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    • pp.14-20
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    • 2015
  • In this study, we propose an innovative lateral force distribution building system between tall buildings by utilizing the difference of moment of inertia, as the alternative design for highly integrated city area. Considering a tri-axial symmetric conditions and boundary conditions for the three-dimensional building structure system, a two-dimensional model is composed. In the proposed indeterminate structural model, important design variables are determined for obtaining minimum horizontal deflections, reactions and bending moments at the ground level of the buildings. Regarding a case of the provided two spatial structures connected to 4 buildings, the optimum location of middle located spatial structure is 45% from the top of the building, which minimize the end moments at the bottom of the buildings. In the considered verification examples, reduced drifts at the top location of the building systems are validated against static wind pressure loads and static earthquake loads. The suggested hybrid building system will improve the safety and reliability of the system due to the added internal truss-dome structures in terms of more than 30% reduced drift and vibration through the development of convergence of tall buildings and spatial structures.

Creep Behavior of a PZT Wafer Under Tensile Stress: Experiments and Modeling (인장하중을 받을 때 PZT 웨이퍼의 크립 거동: 실험과 모델링)

  • Kim, Sang-Joo;Lee, Chang-Hoan
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.1
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    • pp.61-65
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    • 2010
  • A commercially available soft PZT wafer that is poled in thickness direction is subjected to longitudinal tensile stress loading in both short and open-circuit conditions. Variations of electric displacement in thickness direction and in-plane strains are measured over time during the loading. Different material responses in the two electrical boundary conditions are explained by the effects of piezoelectrically produced internal electric field on linear material moduli and domain switching mechanisms. Finally, a free energy model of normal distribution is introduced to explain the observed creep behavior, and its predictions are compared with experimental observations.

Topological optimization procedure considering nonlinear material behavior for reinforced concrete designs

  • Franca, Marcela Bruna Braga;Greco, Marcelo;Lanes, Ricardo Morais;Almeida, Valerio Silva
    • Computers and Concrete
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    • v.17 no.1
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    • pp.141-156
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    • 2016
  • The search for new structural systems capable of associating performance and safety requires deeper knowledge regarding the mechanical behavior of structures subject to different loading conditions. The Strut-and-Tie Model is commonly used to structurally designing some reinforced concrete elements and for the regions where geometrical modifications and stress concentrations are observed, called "regions D". This method allows a better structural behavior representation for strength mechanisms in the concrete structures. Nonetheless, the topological model choice depends on the designer's experience regarding compatibility between internal flux of loads, geometry and boundary/initial conditions. Thus, there is some difficulty in its applications, once the model conception presents some uncertainty. In this context, the present work aims to apply the Strut-and-Tie Model to nonlinear structural elements together with a topological optimization method. The topological optimization method adopted considers the progressive stiffness reduction of finite elements with low stress values. The analyses performed could help the structural designer to better understand structural conceptions, guaranteeing the safety and the reliability in the solution of complex problems involving structural concrete.

Resonant Frequencies in Rectangular Liquid Tanks with an Internal Body (내부물체를 갖는 사각형수조내 유체의 고유진동수)

  • 전영선;윤정방
    • Computational Structural Engineering
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    • v.9 no.1
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    • pp.55-64
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    • 1996
  • Sloshing frequencies of the fluid in rectangular tanks with a bottom-mounted rectangular block are determined by linear water wave theory. Velocity potential is decomposed into those for the wall-induced waves, and the reflected, transmitted, and scattered waves by the block. The reflection and transmission coefficients are determined using the continuity conditions of mass flux and energy flux on the common vertical boundaries of the fluid regions, and the boundary conditions on the both sides of the block. The analysis results indicate that the sloshing frequencies reduce, as the block becomes tall and vade and as the block moves toward the center. The variations of the sloshing frequencies due to the block are found to be more sensitive in broad thanks than is tall tanks.

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A Study on the Development Tendency of Housing Development District in Local Small and Medium Cities - Focused on the Completed District from 1992 to 1996 - (지방중소도시 택지개발지구 단독주택지의 개발경향에 관한 연구 - 1992년부터 1996년까지 조성된 지구를 중심으로 -)

  • Choi, Ki-Young
    • Journal of the Korean housing association
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    • v.22 no.2
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    • pp.63-71
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    • 2011
  • The growth of housing complex in the Housing Development District in local small and medium cities can be defined to process individual lots are possessed by buildings. The study is the basic research of analysis for the internal factors that affect on the each lot, and is for hypothesis of the verification about the Housing Development District growth. So, it can be applied in the Housing Development District of the site conditions and restriction of use of buildings and infrastructure works and the constant boundary of the region. The rate of the development is the occupation of the individual lots per entire lots was limited as the factor of analysis. As above conditions haver no possibility to change in the Housing Development District, the results of this study and further are available to consider. By the results of the connected study, it can be used for Planning and management of the Housing Development District in local small and medium cities. by the adjustment of the relation between growth tendecy and city's properties or district characters.

A Thermal Model for Silicon-on-Insulator Multilayer Structure in Silicon Recrystallization Using Tungsten Lamp (텅스텐 램프를 이용한 실리콘 재결정시의 SOI 다층구조에 대한 열적모델)

  • 경종민
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.21 no.5
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    • pp.90-99
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    • 1984
  • A onetimensional distribution of the temperature and the heat source in the SOI (silicon-on-insulator) multi-layer structure illuminated by tungsten lamps from both sides was obtained by solving the heat equation in steady state on a finite difference grid using successive over-relaxation method. The heat source distribution was obtained by considering such features as spectral components of the light source, multiple reflection at the internal interfaces, temperature and frequency dependence of the light absorption coefficient, etc. The front and back surface temperatures, which are boundary conditions for the heat equation, were derived from a requirement that they satisfy the radiation conditions. The radiation flux as well as the conduction flux was considered in modelling the thermal behaviour at the internal interfaces. Since the temperature and the heat source profiles are strongly dependent upon each other, the calculation of each profile was iterated using the updated profile of the other until they are consistent with each other. The experimental temperature at the front surface of the wafer as measured by Pyrometer was about 1200$^{\circ}$K, while the simulated temperature was 1120$^{\circ}$K.

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A Research on the Daily Runoff Simulation for the Downstream Region of Multipurpose Dams in the Han River (漢江水系 다목적댐 下流 日 流出 模擬 硏究)

  • Lee, Sang-Ho;Kim, Yeong-Seong;Sin, Yong-No
    • Journal of Korea Water Resources Association
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    • v.30 no.6
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    • pp.575-585
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    • 1997
  • A daily runoff system was constructed to support decision making for water use in the downstream region of multipurpose dams in the Han River. The daily runoff system used the modified model from NWSRFS by Tabios III et al. (1986), and potential evapotranspiration was computed from Penman equation. DWOPER was used for channel routing. While the North Han River is the main river reach in the channel routing system, the South Han River and the Soyang River became tributaries. The rainfall-runoff model was calibrated and verified for five subbasins. Daily runoffs were simulated with the hydrometeorological data in 1986 and1990. The simulations were performed from April to November, and the sum of computed discharges for seven or thirty days were compared with actual releases of the downstream dams. It showed the average absolute errors of 8.7 ~31.6%. The sum of total discharges were 10% or less. While stage errors were produced by 0.5 m or less at Yoju station in the ease of simulation from April to August in 1986, the errors kept under 0.2 m since September. In the simulation for 1990, we compared two simulation results. One is produced from real internal and downstream boundary conditions and the other is one from internal and downstream boundary conditions fixed arbitrarily. The two cases showed similar results.

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