• Title/Summary/Keyword: Rectangular distribution

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Static stress analysis of multi-layered soils with twin tunnels by using finite and infinite elements

  • Yusuf Z. Yuksel;Seref D. Akbas
    • Geomechanics and Engineering
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    • v.33 no.4
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    • pp.369-380
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    • 2023
  • The aim of this paper is to investigate stress analysis of semi-infinite soils consisting of two layers with twin rectangular tunnels under static loads. The region close to the ground surface and tunnel modelled within finite elements. In order to use a more realistic model, the far region is modelled within infinite elements. The material model of the layered soil is considered as elastic and isotropic. In the finite element solution of the problem, two dimensional (2D) plane solid elements are used with sixteen-nodes rectangular finite and eight-nodes infinite shapes. Finite and infinite elements are ordered to be suitable for the tunnel and the soils. The governing equations of the problem are obtained by using the virtual work principle. In the numerical process, the five-point Gauss rule is used for the calculation of the integrations. In order to validate using methods, comparison studies are performed. In the numerical results, the stress distributions of the two layered soils containing twin rectangular tunnels presented. In the presented results, effects of the location of the tunnels on the stress distributions along soil depth are obtained and discussed in detail. The obtained results show that the locations of the tunnels are very effective on the stress distribution on the soils.

Effect by Temperature Distribution of Target Surface during Sputtering by Bipolar Pulsed Dc and Continuous Dc (직류와 양극성 펄스직류에 의한 스퍼터링시 타겟 표면의 온도 분포와 그 영향)

  • Yang, Won-Kyun;Joo, Jung-Hoon;Kim, Young-Woo;Lee, Bong-Ju
    • Journal of the Korean Vacuum Society
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    • v.19 no.1
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    • pp.45-51
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    • 2010
  • We measured the temperature of target surface inducing by various physical phenomenon on magnetron sputtering target and confirmed the possibilities if the temperature distribution could affect plasma and deposited thin film. The target of magnetron sputtering has two types: round type and rectangular type. In a rectangular target, the concentrated discharge area by corner effect by magnetic field and non-uniform erosion of target are generated. And we found the generation of non-uniform temperature distribution on the target surface from this. This area was $10{\sim}20^{\circ}C$ higher than non-sputtering area. And if particles are generated during sputtering process, they were $20^{\circ}C$ higher than the area where is higher than non-sputtering area. These effects result in non-uniformity of thin films, crack of ceramic target, and shortening target life by non-uniform erosion.

Effect of Steel Fiber Distribution in Steel Fiber-reinforced Concrete on Surface Electrical Resistivity (강섬유 보강콘크리트의 강섬유 분산이 표면전기저항에 미치는 영향)

  • Kim, Seong Do;Moon, Do Young
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.1
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    • pp.106-113
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    • 2013
  • One of feasible non-destructivity test methods for evaluation of concrete permeability is the measurement of surface resistivity. But the application to steel fiber-reinforced concrete has been limited because mis-evaluation could be caused by the steel fibers in concrete. In this study, the effect of fiber distribution on surface electrical resistivity of steel fiber-reinforced concrete was investigated through experimental program. Resistivity was measured three times on four surfaces in three rectangular and circular specimens with 0.5%, 1% and 1.5% steel fibers by volume and compared each other. The results obtained from circular specimens were consistent compared to those from rectangular specimens. And the results demonstrated that the effect of fiber distribution on surface resistivity was not significant compared to that of mixing ratio of steel fibers. In conclusion, this non-destructive testing method using measurement of surface resistivity could be used for SFRC within 0.5% steel fibers by volume.

An Experimental Study on Concrete Stress Distribution in Compression Zone (콘크리트 압축 응력분포에 관한 실험적 연구)

  • Lee, Jae-Hoon;Lim, Kang-Sup;Choi, Jin-Ho;Choi, Young-Ho;Hwang, Do-Kyu;Yoo, Hyun-Jae
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.79-80
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    • 2009
  • Compression stress distribution used to concrete structure design substitutes equivalent rectangle, trapezoid and parabola-rectangle stress block for actual concrete stress distribution. Presently, rectangular stress block of Korea Concrete Design Code is equal to it of ACI code that doesn't reflect the material feature of the high strength concrete. The study does an experiment on concrete compression stress distribution to know the material feature of the concrete used in korea.

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A study on the microstructure and micro-hardenss distribution in laser welded AZ31 magnesium alloy (AZ31 마그네슘합금 레이저 용접부의 미세조직 및 미소경도의 분포에 관한 연구)

  • Choi, Y.H.;Lee, M.Y.;Choi, S.H.
    • Laser Solutions
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    • v.15 no.3
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    • pp.11-15
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    • 2012
  • The laser weld of AZ31 magnesium alloy was characterized with OM, EBSD and micros vickers hardness tester in experiment. EBSD analysis and micro-hardness measurements were carried out at the three regions (Equiaxed Zone, Columnar Dendrite Zone, Base Metal) of the welded AZ31Mg alloy sheets. The magnesium alloy show the rectangular shape bead in laser weld. EBSD analysis revealed that the three regions show the heterogeneous distribution of grain size and microtexture. Micro-hardness measurement also revealed that the heterogeneous distribution of microstructure contributed to the heterogeneous micro-hardness distribution in the three regions.

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Vibration analysis of porous FGM plate resting on elastic foundations: Effect of the distribution shape of porosity

  • Hadj, Bekki;Rabia, Benferhat;Daouadji, Tahar Hassaine
    • Coupled systems mechanics
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    • v.10 no.1
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    • pp.61-77
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    • 2021
  • The porosity of functionally graded materials (FGM) can affect the static and dynamic behavior of plates, which is important to take this aspect into account when analyzing such structures. The present work aims to study the effect of the distribution shape of porosity on the free vibration response of simply supported FG plate reposed on the Winkler-Pasternak foundation. A refined theory of shear deformation is expanded to study the influence of the distribution shape of porosity on the free vibration behavior of FG plates. The findings showed that the distribution shape of porosity significantly influences the free vibration behavior of thick rectangular FG plates for small values of Winkler-Pasternak elastic foundation parameters.

Experimental study of bubble flow behavior during flow instability under uniform and non-uniform transverse heat distribution

  • Al-Yahia, Omar S.;Yoon, Ho Joon;Jo, Daeseong
    • Nuclear Engineering and Technology
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    • v.52 no.12
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    • pp.2771-2788
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    • 2020
  • Experiments are conducted to study bubble flow behavior during the instability of subcooled boiling under uniform and non-uniform transverse heating. The non-uniform heat distribution introduces nonuniform bubble generation and condensation rates on the heated surface, which is different from the uniform heating. These bubble generation and condensation characteristics introduce a non-uniform local pressure distribution in the transverse direction, which creates an extra non-uniform pressure on the flowing bubbles. Therefore, different bubble flow behavior can be observed between uniform and non-uniform heating conditions. In the uniform heating, bubble velocity fluctuations are low, and the bubbles travel straight along the axial direction. In the non-uniform heating, more fluctuation in the bubble velocity occurs at low mass flow rate and high subcooled inlet temperatures, and reverse flow is observed. Additionally, the bubbles show a zigzag trajectory when they pass through the channel, which indicates the existence of cross flow in the transverse direction.

Pressure and Flow Distribution in the Inlet Plenum of a Pebble Bed Modular Reactor (PBMR)

  • Ahmad, Imteyaz;Kim, Kwang-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2005.12a
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    • pp.244-249
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    • 2005
  • Flow distribution and pressure drop analysis for an inlet plenum of a Pebble Bed Modular Reactor (PBMR) have been performed using Computational Fluid Dynamics. Three-dimensional Navier-Stokes equations have been solved in conjunction with $k-{\epsilon}$ model as a turbulence closure. Non-uniformity in flow distribution is assessed for the reference case and parametric studies have been performed for rising channels diameter, Reynolds number and angle between the inlet ports. Also, two different shapes of the inlet plenum namely, rectangular shape and oval shape, have been analysed. The relative flow mal-distribution parameter shows that the flow distribution in the rising channels for the reference case is strongly non-uniform. As the rising channels diameter decreases, the uniformity in the flow distribution as well as the pressure drop inside the inlet plenum increases. Reynolds number is found to have no effect on the flow distribution in the rising channels for both the shapes of the inlet plenum. The increase in angle between the inlet ports makes the flow distribution in the rising channels more uniform.

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Limit analysis of rectangular cavity subjected to seepage forces based on Hoek-Brown failure criterion

  • Yang, X.L.;Qin, C.B.
    • Geomechanics and Engineering
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    • v.6 no.5
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    • pp.503-515
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    • 2014
  • On the basis of Hoek-Brown failure criterion, a numerical solution for the shape of collapsing block in the rectangular cavity subjected to seepage forces is obtained by upper bound theorem of limit analysis. The seepage forces obtained from the gradient of excess pore pressure distribution are taken as external loadings in the limit analysis, and the pore pressure is easily calculated with pore pressure coefficient. Thus the seepage force is incorporated into the upper bound analysis as a work rate of external force. The upper solution of the shape of collapsing block is derived by virtue of variational calculation. In order to verify the validity of the method proposed in the paper, the result when the pore pressure coefficient equals zero, and only hydrostatic pressure is taken into consideration, is compared with that of previous work. The results show good effectiveness in calculating the collapsing block shape subjected to seepage forces. The influence of parameters on the failure mechanisms is investigated.

Bending analysis of thick functionally graded piezoelectric rectangular plates using higher-order shear and normal deformable plate theory

  • Dehsaraji, M. Lori;Saidi, A.R.;Mohammadi, M.
    • Structural Engineering and Mechanics
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    • v.73 no.3
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    • pp.259-269
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    • 2020
  • In this paper, bending-stretching analysis of thick functionally graded piezoelectric rectangular plates is studied using the higher-order shear and normal deformable plate theory. On the basis of this theory, Legendre polynomials are used for approximating the components of displacement field. Also, the effects of both normal and shear deformations are encountered in the theory. The governing equations are derived using the principle of virtual work and variational approach. It is assumed that plate is made of piezoelectric materials with functionally graded distribution of material properties. Hence, exponential function is used to modify mechanical and electrical properties through the thickness of the plate. Finally, the effect of material properties, electrical boundary conditions and dimensions are investigated on the static response of plate. Also, it is shown that results of the presented model are close to the three dimensional elasticity solutions.