• Title/Summary/Keyword: stress gradient effect

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Surface and size dependent effects on static, buckling, and vibration of micro composite beam under thermo-magnetic fields based on strain gradient theory

  • Mohammadimehr, Mehdi;Mehrabi, Mojtaba;Hadizadeh, Hasan;Hadizadeh, Hossein
    • Steel and Composite Structures
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    • 제26권4호
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    • pp.513-531
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    • 2018
  • In this article, static, buckling and free vibration analyses of a sinusoidal micro composite beam reinforced by single-walled carbon nanotubes (SWCNTs) with considering temperature-dependent material properties embedded in an elastic medium in the presence of magnetic field under transverse uniform load are presented. This system is used at micro or sub micro scales to enhance the stiffness of micro composite structures such as bar, beam, plate and shell. In the present work, the size dependent effects based on surface stress effect and modified strain gradient theory (MSGT) are considered. The generalized rule of mixture is employed to predict temperature-dependent mechanical and thermal properties of micro composite beam. Then, the governing equations of motions are derived using Hamilton's principle and energy method. Numerical results are presented to investigate the influences of material length scale parameters, elastic foundation, composite fiber angle, magnetic intensity, temperature changes and carbon nanotubes volume fraction on the bending, buckling and free vibration behaviors of micro composite beam. There is a good agreement between the obtained results by this research and the literature results. The obtained results of this study demonstrate that the magnetic intensity, temperature changes, and two parameters elastic foundations have important effects on micro composite stiffness, while the magnetic field has greater effects on the bending, buckling and free vibration responses of micro composite beams. Moreover, it is shown that the effects of surface layers are important, and observed that the changes of carbon nanotubes volume fraction, beam length-to-thickness ratio and material length scale parameter have noticeable effects on the maximum deflection, critical buckling load and natural frequencies of micro composite beams.

TIG처리에 따른 하중비전달형 필렛용접부의 피로특성 (An Effect of TIG Dressing on Fatigue Characteristics of Non Load-Carrying Fillet Welded Joints)

  • 정영화;경갑수;홍성욱;김익겸;남왕현
    • 한국강구조학회 논문집
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    • 제12권5호통권48호
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    • pp.617-628
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    • 2000
  • 이 연구에서는 하중비전달형 필렛용접부를 대상으로 순수휨상태에서 TIG 처리에 따른 피로강도 향상정도 및 피로특성을 정량적으로 평가하기 위해서 4점 휨실험을 실시하였다. 피로실험결과 용접후처리를 실시하지 않은 시험체는 국내 외에서 규정하는 피로강도등급을 만족하고 있고 TIG 처리한 시험체는 용접후처리를 실시하지 않은 시험체보다 $2{\times}106$회 피로강도가 상회하는 것을 알 수 있었다. 또한 비치마크실험결과 피로균열은 용접지단부의 비드접선각도 및 곡률반경이 최소로 되는 점에서 다발적으로 발생하며, 반타원형 균열로 성장, 합체되어 파단에 이르는 것을 확인할 수 있었다. 한편 유한요소해석결과 용접지단부의 응력집중계수는 용접지단부의 비드접선각도 및 곡률반경과 밀접한 관계가 있으며, 이 중에서 곡률반경이 용접지단부의 응력집중계수에 보다 큰 영향을 미치는 것을 알 수 있었다. 한편 파괴역학적 해석결과 a/t가 0.4 이하인 경우에 기하학적형상보정계수가 균열보정계수에 가장 지배적인 영향을 미치는 인자임을 알 수 있었다. 또한 유한요소해석결과로부터 산정한 응력확대계수범위와 피로균열성장속도의 관계식으로부터 피로수명을 비교적 정확하게 산정할 수 있었다.

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코리올리힘 이 作용하는 亂流境界層內 의 流動 에 관한 硏究 (Flow in turbulent boundary layers with coriolis force)

  • 이규한
    • 대한기계학회논문집
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    • 제9권2호
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    • pp.181-189
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    • 1985
  • 본 연구에서는 단순유로인 단면이 장방형인 각통을 그것에 수직한 축둘레에 회전시켜서 유로의 압력측 및 부압측에서의 속도 및 변동속도성분의 거동을 실험적으 로 조사함으로서 코리올리힘이 난류경계층 내의 유동에 미치는 영향을 구명하였다.

타원혼합모형을 이용한 초임계상태 이산화탄소의 압축성계수에 의한 난류열전달 특성 (Compressibility Factor Effect on the Turbulence Heat Transfer of Super-critical Carbon Dioxide by an Elliptic-blending Second Moment Closure)

  • 한성호;서정식;신종근;최영돈
    • 대한기계학회논문집B
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    • 제31권1호
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    • pp.40-50
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    • 2007
  • The present contribution describes the application of elliptic-blending second moment closure to predict the gas cooling process of turbulent super-critical carbon dioxide flow in a square cross-sectioned duct. The gas cooling process under super-critical state experiences a drastic change in thermodynamic and transport properties. Redistributive terms in the Reynolds stress and turbulent heat flux equations are modeled by an elliptic-blending second moment closure in order to represent strongly non-homogeneous effects produced by the presence of walls. The main feature of Durbin's elliptic relaxation second moment closure that accounts for the nonlocal character of pressure-velocity gradient correlation and the near-wall inhomogeneity guaranteed by the elliptic blending second moment closure.

Effect of lateral restraint on the buckling behaviour of plates under non-uniform edge compression

  • Bedair, Osama K.
    • Structural Engineering and Mechanics
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    • 제5권1호
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    • pp.85-104
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    • 1997
  • The paper investigates the influence of lateral restraint on the buckling behaviour of plate under non-uniform compression. The unloaded edges are assumed to be partially restrained against translation in the plane of the plate and the distributions of the resulting forces acting on the plate are shown. The stability analysis is done numerically using the Galerkin method and various strategies the economize the numerical implementation are presented. Results are obtained showing the variation of the buckling load, from free edge translation to fully restrained, with unloaded edges simply supported, clamped and partially restrained against rotation for various plate aspect ratios and stress gradient coefficients. An apparent decrease in the buckling load is observed due to these destabilizing forces acting in the plate and changes in the buckling modes are observed by increasing the intensity of the lateral restraint. A comparison is made between the budding loads predicted from various formulas in stability standards based on free edge translation and the values derived from the present investigation. A difference of about 34% in the predicted buckling load and different buckling mode were found.

온도 구배에 대한 P.C. 상자형 교량의 거동연구 (A Study on the Behavior of P.C. Box Girder Bridge for Temperature Gradients)

  • 손기훈;이성우
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.159-166
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    • 1998
  • To study temperature effect of P.C. box girder bridge, field measurement was performed for six months, along with thermal analysis for the newly constructed viaduct of Gangbyun Highway in Seoul. Thermocouples were installed inside and surface of the flange and web of the box and temperature of box section md ambient temperature was measured. Measured environmental data are incorporated in finite element thermal analysis and computed temperature of the section was compared with measured one. Temperature gradient from thermal analysis was compared with Korean Highway Specification(1996)and the New Zealand Ministry of Works and Development code(1976). Thermal stress distribution across the box section was also compared.

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보와 아치의 좌굴강도에 관한 연구의 필요성 (The Need for Research about Buckling Strength of Arch and Beam)

  • 임남형;이진옥;류효진;이우철;구소연
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2007년도 정기 학술대회 논문집
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    • pp.223-226
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    • 2007
  • In current specification, modification factor(B) for web-tapered beam is used to account for the stress gradient and the restraining effect for adjacent spans. However, because these effects are considered together in modification factor, this paper revaluate the accuracy of the modification factor used in current specification. Also this paper investigate the flexural torsional buckling strength of laterally fixed thin-walled arch with doubly symmetric section using the analytical and numerical method. From this investigate the concept of effective length to consider the out-of-plane boundary condition for straight column or beam is not applicate for the flexural-torsional buckling of laterally fixed arches.

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Non-local 이론을 적용한 단열전단밴드의 국부화에 대한 연구 (A Study of Localization for Adiabatic Shear Band Using Non-local Theory)

  • 이용성;이병섭;황두순;윤수진;홍성인
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2001년도 춘계학술대회 논문집
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    • pp.205-208
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    • 2001
  • Localized shear band is investigated through the analysis of one-dimensional model for simple shearing deformation of thermally rate dependent material. Generally mesh size or interval of nodes play an important role in determining the overall flow behavior of the material. In order to observe these size effects we adapted non-local theory by including higher order strain gradients of the equivalent strain into the constitutive equation for the flow stress. for the ease of convergence and numerical stability the inplicit finite difference scheme is employed.

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SnPb와 무연 플립칩 솔더의 유효전하수와 임계전류밀도 (Effective Charge Number and Critical Current Density in Eutetic SnPb and Pb Free Flip Chip Solder Bumps)

  • 채광표
    • Journal of Welding and Joining
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    • 제23권5호
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    • pp.49-54
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    • 2005
  • The effective charge number and the critical current density of electromigration in eutetic SnPb and Pb Free $(SnAg_{3.8}Cu_{0.7)$ flip chip solder bumps are studied. The effective charge number of electromigration in eutectic SnPb solder is obtained as 34 and the critical current density is $j=0.169{\times}({\delta}_{\sigma}/{\delta}_x})\;A/cm^2,\;where\;({\delta}_{\sigma}/{\delta}_x})$ is the electromigration-induced compressive stress gradient along the length of the line. While the effect of electromigration in Pb free solder is much smaller than that in eutectic SnPb, the product of diffusivity and effective charge number $DZ^{\ast}$ has been assumed as $6.62{\times}10^{-11}$. The critical length for electromigration are also discussed.

Drained End Shield Effects on Heat Deposition Rate Distribution in CANDU 6 Reactor End Shield Structure

  • Jin, Yung-Kwon;Kim, Kyo-Youn;Hwang, Hae-Ryong
    • Nuclear Engineering and Technology
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    • 제26권4호
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    • pp.570-577
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    • 1994
  • The loss of water in the carbon steel balls and water region of the end shield for CANDU 6 reactor could lead to significant temperature gradient through the end shield structure which amy result in the excessive deformation. With an assumed end shield drained scenario, the heat deposition rates were calculated through the end shield associated with the central fuel channel during full power operation as an initial step to thermal stress analysis. The drained case was compared with that of water present normal case in therms of heat deposition rater and the total heating throughout the end shield regions. The compared results show that the heat deposition and the total heating remain almost the same between the two cases. It was found that the change of volume integrated flux in the end shield regions due to the loss of water contribute a negligible effect on the heat deposition in this region.

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