• 제목/요약/키워드: Critical thickness

검색결과 911건 처리시간 0.026초

리플로우 조건에 따른 In-48Sn 솔더와 BGA 패키지의 계면반응 및 전단 특성 변화 (Interfacial Reaction and Shear Properties with Reflow Conditions for In-48Sn Solder on BGA Package)

  • 구자명;이영호;김대곤;김대업;정승부
    • 대한용접접합학회:학술대회논문집
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    • 대한용접접합학회 2003년도 춘계학술발표대회 개요집
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    • pp.193-195
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    • 2003
  • Micro-structure and shear properties with reflow conditions, reflow temperature and time, for In-48Sn solder on BGA package were examined at the temperature between 140 and 170$^{\circ}C$ for 10 to 3600sec. With increasing reflow temperature and time, the thickness of intermetallic compound formed between solder and pad increased. Shear test indicated shear force increased in the range to a critical value of reflow time, and decreased over a critical reflow time. With increasing reflow temperature and time, the crater occurred on fracture surface because of a increase of crater by voids and IMC particles precipitated in solder.

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Prediction of the critical buckling load of SWCNT reinforced concrete cylindrical shell embedded in an elastic foundation

  • Timesli, Abdelaziz
    • Computers and Concrete
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    • 제26권1호
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    • pp.53-62
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    • 2020
  • Concrete is the most widely used substance in construction industry, so it's been required to improve its quality using new technologies. Nowadays, nanotechnology offers new frontiers for improving construction materials. In this paper, we study the stability analysis of the Single Walled Carbon Nanotubes (SWCNT) reinforced concrete cylindrical shell embedded in elastic foundation using the Donnell cylindrical shell theory. In this regard, we propose a new explicit analytical formula of the critical buckling load which takes into account the distribution of SWCNT reinforcement through the thickness of the concrete shell using the U, X, O and V forms and the elastic foundation using Winkler and Pasternak models. The rule of mixture is used to calculate the effective properties of the reinforced concrete cylindrical shell. The influence of diverse parameters on the stability behavior of the reinforced concrete shell is also discussed.

고출력 레이저 어블레이션에 의한 실리콘 가공시 발생하는 상폭발 현상에 관한 연구 (Study on the phase explosion phenomena during high power laser ablation of silicon)

  • 정성호
    • 한국레이저가공학회지
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    • 제3권3호
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    • pp.39-45
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    • 2000
  • The volume and depth of the craters produced on silicon samples during high power laser ablation show a strong nonlinear change as the laser irradiance increases across a threshold value, approximately 2.2$\times$10$\^$10/ W/㎠. Time-resolved shadowgraph images of the ablation plume reveal the ejection of large particulates from the sample for laser irradiance above the threshold, with a time delay of about 300-400 ㎱. The numerically estimated thickness of the superheated liquid layer, considering the transformation of liquid metal into liquid dielectric near the critical state, agrees with the measured agrees with crater depths. It is suggested that a phase explosion of the deep superheated liquid layer near the critical state is responsible for the measured sudden increase of crater volume and the ejection of large particulates.

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Investigation of buckling behavior of functionally graded piezoelectric (FGP) rectangular plates under open and closed circuit conditions

  • Ghasemabadian, M.A.;Kadkhodayan, M.
    • Structural Engineering and Mechanics
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    • 제60권2호
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    • pp.271-299
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    • 2016
  • In this article, based on the higher-order shear deformation plate theory, buckling analysis of a rectangular plate made of functionally graded piezoelectric materials and its effective parameters are investigated. Assuming the transverse distribution of electric potential to be a combination of a parabolic and a linear function of thickness coordinate, the equilibrium equations for the buckling analysis of an FGP rectangular plate are established. In addition to the Maxwell equation, all boundary conditions including the conditions on the top and bottom surfaces of the plate for closed and open circuited are satisfied. Considering double sine solution (Navier solution) for displacement field and electric potential, an analytical solution is obtained for full simply supported boundary conditions. The accurate buckling load of FGP plate is presented for both open and closed circuit conditions. It is found that the critical buckling load for open circuit is more than that of closed circuit in all loading conditions. Furthermore, it is observed that the influence of dielectric constants on the critical buckling load is more than those of others.

P-${\Delta}$ Effects on the Reliability of Offshore Platforms

  • Leon, David-De;Dante Campos
    • Computational Structural Engineering : An International Journal
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    • 제3권1호
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    • pp.31-37
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    • 2003
  • A typical marine platform in the Bay of Campeche is studied from the standpoint of structural reliability, and several characteristics of its deck such as slenderness and diameter/thickness ratios of the legs and actual degree of correlation between some variables are taken into account. The global and local buckling capacities of the deck legs are compared and the correlation coefficient between the critical axial load and the critical moment is assessed in order to validate its influence on the structural reliability. In addition, the influence of the vertical load, and its uncertainty, on the variance of the decks capacity, and latter on, on the platform's failure probability is assessed. The results presented may be used in future studies to further extend and upgrade the first version of the Reference Norm (PEMEX, 2000) and, in the longer term, to improve the current practice in the Design and Requalification of Offshore Marine Platforms in the Bay of Campeche.

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용접각변형에 미치는 용접길이의 영향 (The Effects of Welding Length on the Angular Distortion)

  • 박정웅;이해우
    • Journal of Welding and Joining
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    • 제23권4호
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    • pp.48-52
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    • 2005
  • To estimate welding deformation for large steel structures, either experiment result with small specimen or analysis result of FEM with small numerical model is used. Consequently, it is important to decide the welding length of specimen and numerical model not to have an effect on welding deformation for accurate estimation of whole welding deformation. This study experimentally clarifies the effect of welding length on angular distortion due to welding by varying welding length of specimens, but fixing width and thickness of specimens on V-groove butt welding, fillet welding and bead on plate welding. As a resell the critical welding length on fillet welding and on bead on plate welding is over 500mm and on V-groove butt welding is over 1,000mm.

온도상승에 따른 H-형강 기둥의 내력에 관한 연구 (A Study on the Capacity of H-Shape Columns at Elevated Temperatures)

  • 구본율;장명웅;강문명
    • 한국공간구조학회논문집
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    • 제4권1호
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    • pp.87-95
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    • 2004
  • 본 논문은 화재시 온도상승에 따른 H-형강 기둥의 내력에 관한 연구이다. 주요 매개변수는 온도, 세장비와 하중비이다. 온도 상승시 강재의 물리적 특성은 EC3 Part1.2에 따랐다. 온도상승에 따른 국부좌굴의 임계온도는 재료의 항복강도와 판폭두께비가 클수록 더 낮아진다. 균등한 열을 받는 철골 기둥의 내혁 평가는 LRFD에 따른 축력과 강축 및 약축 모멘트에 대하여 고려하였다.

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쓰레기 침출수와 염료로 오염된 실트지반의 측방유동에 관한 연구 (A Study on the Lateral Flow of the Silts which is Polluted with a Garbage Leachate to the Dyes)

  • 안종필;박상범;안기문
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2008년도 추계 학술발표회
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    • pp.1157-1166
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    • 2008
  • Critical surcharge value of silt ground polluted with garbage leachate to the dyes $q_{cr}=3.73c_u$ and ultimate bearing capacity value $q_{ult}=8.60c_u$. Lateral flow pressure at polluted silt ground was about $P_{max}$/3 and depth of maximum lateral flow pressure was found at that of H/3 of soft layer thickness(H). Expression of polluted silt ground of fracture baseline at stability control charge by Matsuo Kawamura is $S_v=3.56\exp\{0.51(Y_m/S_v)\}$.

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Thermo-elastic stability behavior of laminated cross-ply elliptical shells

  • Patel, B.P.;Shukla, K.K.;Nath, Y.
    • Structural Engineering and Mechanics
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    • 제19권6호
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    • pp.749-755
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    • 2005
  • In this work, thermo-elastic stability behavior of laminated cross-ply elliptical cylindrical shells subjected to uniform temperature rise is studied employing the finite element approach based on higher-order theory that accounts for the transverse shear and transverse normal deformations, and nonlinear in-plane displacement approximations through the thickness with slope discontinuity at the layer interfaces. The combined influence of higher-order shear deformation, shell geometry and non-circularity on the prebuckling thermal stress distribution and critical temperature parameter of laminated elliptical cylindrical shells is examined.

2주형 판형교의 최적설계 (Optimization of Two Plate Girders Bridge)

  • 김건희;유선미;조선규
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2002년도 추계학술대회 논문집(I)
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    • pp.690-695
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    • 2002
  • Two plate girders bridge has an advantage for execution of works and quality control because of its simplicity of super-structure caused by decreasing in amount of members and also is distinguished as aesthetic bridge type. Recently this has been adopted for structure of highway as well railway and introduced into domestic. In order to plan or design two plate girders bridge more rationably, it is necessary to comprehend its structural behavior as well as to consider the critical resign factors. Thus, in this study the formulation of optimum design for two plate girders bridge is proposed and the critical resign variables ani restraints are considered and founded by caring out optimum design. The objective function of optimization is formulated as a minimum cost design problem. And the thickness and length of I-shaped section are decided as resign variables. The design constraints are formulated based on Design Criteria for Railroad(Bridges). By comparing the optimum results with those of the conventional resign, the effectiveness of proposed optimum design formulation is investigated. From the results, the way to do optimum design of two plate girders bridge is suggested.

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