• Title/Summary/Keyword: failure strain

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Thermal Fatigue Failure of Solder Joints in Electronic Systems (미세솔더접속부의 열피로파단)

  • 박화순
    • Journal of Welding and Joining
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    • v.13 no.4
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    • pp.7-13
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    • 1995
  • 마이크로솔더링에 의한 전자기기는, 사회기능의 중추가 되는 컴퓨터, 통신 기기, 항공기 인공위성 등의 제어계를 구성하므로, 그 접속부에 대한 높은 신뢰성의 요구는 그 무엇보다 중요하다. 전자기기에 있어서의 솔더 접속부는 집과 기판의 전기 적.기계적 접속의 역할을 하고 있으며, 따라서 개개의 접속부의 파단은 전체의 불량 으로 연결된다. 실제 전자콤포넌트와 그 시스템의 단선 등의 사고에 있어서 자주 발생 하는 사고중의 하나가 솔더접속부의 단선에 의한 것이며, 그 단선중에서도 가장 보편 적이며 또한 대단히 심각한 문제로서 주목을 받고 있는 것이 솔더접속부의 열피로파단 이다. 전자기기를 사용할 때, 스위치의 on-off에 의한 power cycle과 환경의 온도변화 에 기인하는 반복열 사이클은 솔더접속부의 피로를 일으키게 되고, 결국에는 사용중에 파단을 초래하게 된다. 이러한 온도변화의 범위는 약 -55.deg. - 150.deg.C로 예상할 수 있으며, 여기서 최고온도인 150.deg.C는 Pb-Sn 공정합금의 경우 0.9Tm.p.이상의 고온에 해당한다. 이 피로는 등온적으로 또는 열사이클중에 발생하기도 한다. 솔더접 속부의 열피로수명은 대부분의 공업재료에서 나타나는 저사이클피로거동과 유사하게 발생하며, 솔더 접속부에 인가되는 열변형/응력(thermal strain/stress)의 크기에 크게 의존하는 것으로 알려져 있다. 솔더는 서로 다른 열팽창계수를 갖는 칩과 회로 기관의 두종류의 재료를 접속하기 때문에, 상기한 바와 같은 반복열사이클에 의하여 발생하는 열변형/응력이 접속부의 피로.파단을 야기시킨다. 이러한 솔더접속부에 대한 주기적인 응력/변형의 인가는 접속부에 내.외적으로 현저한 변화를 야기시키게 되고, 열피로로 연결되며 결국에는 시스템의 전기적 단선을 초래하게 된다. 또한 열피로파단 현상는 변형/응력의 크기 뿐 만아니라 솔더합금자체의 야금학적인 물성에도 크게 의존 하며, 내적.외적인 열변화에 의한 야금학적인 특성변화도 크게 영향을 미친다. 솔더 접속부의 신뢰성에 대한 연구는, 그 중요성에 비추어 볼 때, 지금까지 수많은 연구가 행하여져 왔다. 그러나 신뢰성과 관련된 열피로파단현상에 대한 야금학적인 면에서의 연구는 비교적 적은 편이다. 따라서 본 해설에서는 전자기기의 마이크로 솔더접속부 에서 발생하는 열피로파단현상에 대한 야금학적인 면에 중점을 두어 서술하고자 한다.

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Nonlinear analysis of reinforced concrete beams strengthened with polymer composites

  • Pendhari, S.S.;Kant, T.;Desai, Y.M.
    • Structural Engineering and Mechanics
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    • v.24 no.1
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    • pp.1-18
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    • 2006
  • Strengthening of existing old structures has traditionally been accomplished by using conventional materials and techniques, viz., externally bonded steel plates, steel or concrete jackets, etc. Alternatively, fibre reinforced polymer composite (FRPC) products started being used to overcome problems associated with conventional materials in the mid 1950s because of their favourable engineering properties. Effectiveness of FRPC materials has been demonstrated through extensive experimental research throughout the world in the last two decades. However there is a need to use refined analytical tools to simulate response of strengthened system. In this paper, an attempt has been made to develop a numerical model of strengthened reinforced concrete (RC) beams with FRPC laminates. Material models for RC beams strengthened with FRPC laminates are described and verified through a nonlinear finite element (FE) commercial code, with the help of available experimental data. Three dimensional (3D) FE analysis has been performed by assuming perfect bonding between concrete and FRPC laminate. A parametric study has also been performed to examine effects of various parameters like fibre type, stirrup's spacing, etc. on the strengthening system. Through numerical simulation, it has been shown that it is possible to predict accurately the flexural response of RC beams strengthened with FRPC laminates by selecting an appropriate material constitutive model. Comparisons are made between the available experimental results in literature and FE analysis results obtained by the present investigators using load-deflection and load-strain plots as well as ultimate load of the strengthened beams. Furthermore, evaluation of crack patterns from FE analysis and experimental failure modes are discussed at the end.

Slip Behavior of High-Tension Bolted Joints Subjected to Compression Force (압축력을 받는 고장력 볼트 이음부의 미끄러짐 거동)

  • Han, Jin Hee;Choi, Jong Kyoung;Heo, In Sung;Kim, Sung Bo
    • Journal of Korean Society of Steel Construction
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    • v.20 no.2
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    • pp.279-288
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    • 2008
  • In this study, the slip behavior of high-tension bolted joints subjected to compression force is investigated through 3D finite element analysis and experiments. The relation with sliding load, bolt deformation, and failure load are studied with the metal thickness affecting the bolted joint. The post-sliding behavior considering bolt stiffness is presented and compared with the results by finite element and experiments. The finite element model is constructed by solid elements in ABAQUS, in consideration of all the friction effects between metal plates and bolts. The stress-strain relations in the literature are used, and the sliding displacements and axial stresses around the bolt connection are investigated. The flexural buckling of species happened when the plate thickness is less than the bolt diameter. However, the shear failures of bolt occurred in the opposite case.

Maximum Shear Reinforcement of RC Beams using High Strength Concrete (고강도 콘크리트를 사용한 RC보의 최대철근비)

  • Lee, Jung-Yoon;Hwang, Hyun-Bok
    • Proceedings of the Korea Concrete Institute Conference
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    • 2008.11a
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    • pp.839-842
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    • 2008
  • The ACI 318-05 code requires the maximum amount of shear reinforcement in reinforced concrete (RC) beams to prevent possible sudden shear failure due to over reinforcement. The design equations of the maximum amount of shear reinforcement provided by the current four design codes, ACI 318-05, CSA-04, EC2-02, and JCI-99, differ substantially from one another. The ACI 318-05, CSA-04, and EC2-02 codes provide an expression for the maximum amount of shear reinforcement ratio as a function of the concrete compressive strength, but Japanese code does not take into account the influence of the concrete compressive strength. For high strength concrete, the maximum amount of shear reinforcement calculated by the EC2-02 and CSA-04 is much greater than that calculated by the ACI 318-05. This paper presents the effects of shear reinforcement ratio and compressive strength of concrete on the maximum shear reinforcement in reinforced concrete beams. Ten RC beams having various shear reinforcement ratio were tested. Although the test beams were designed to have much more amount of shear reinforcement than that required in the ACI 318-05 code, all beams failed due to web concrete crushing after the stirrups reached the yield strain.

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Unified Constitutive Model for RC Planar Members Under Cyclic Load (주기하중을 받는 철근 콘크리트 면부재에 대한 통합구성모델)

  • 김재요;박홍근
    • Journal of the Korea Concrete Institute
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    • v.14 no.2
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    • pp.239-248
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    • 2002
  • A constitutive model unifying plasticity and crack damage mode)s was developed to address the cyclic behavior of reinforced concrete planar members. The stress of concrete in tension-compression was conceptually defined by the sum of the compressive stress developed by the strut-action of concrete and the tensile stresses developed by tensile cracking. The plasticity model with multiple failure criteria was used to describe the isotropic damage of compressive crushing affected by the anisotropic damage of tensile cracking. The concepts of the multiple fixed crack damage model and the plastic flow model of tensile cracking were used to describe the tensile stress-strain relationship of multi-directional cracks. This unified model can describe the behavioral characteristics of reinforced concrete in cyclic tension-compression conditions, i.e. multiple tensile crack orientations, progressively rotating crack damage, and compressive crushing of concrete. The proposed constitutive model was implemented to finite element analysis, and it was verified by comparison with existing experimental results from reinforced concrete shear panels and walls under cyclic load conditions.

Shear Behavior of Reinforced Concrete Beams Strengthened with CFRP Strips (탄소섬유판 (CFRP Strip)으로 보강된 철근콘크리트 부재의 전단거동)

  • Lim, Dong-Hwan;Nam, Min-Hee
    • Journal of the Korea Concrete Institute
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    • v.20 no.3
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    • pp.299-305
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    • 2008
  • The main goal of this study was to examine the shear behavior of reinforced concrete beams strengthened with CFRP strups. Seven rectangular beams were tested. The test variables were the configuration types, spacing length of CFRP strips and the amount of reinforced stirrups bars. From this experimental study, the shear capacity of beams strengthened with CFRP increased significantly compared to the beam without CFRP strip. Maximum increase of ultimate shear strength was found about 100% more than that of the beam without a CFRP strip and the CFRP strips attached in the shear region can resist the occurrence of the initial shear cracks and the propagation of major shear cracks. In this test, most of the shear strengthened beams failed suddenly due to the debonding of CFRP strips. A calculation of the shear strength of reinforced beams strengthened with CFRP strips based on the effective stresses was conducted and the comparisons were made with the test results.

Reclamation and Soil Improvement on Ultra Soft Soil (II) - Soil Improvement (초연약지반의 매립 및 지반개량 사례 연구 (II) - 지반개량)

  • Na, Yung-Mook;Kim, Hee-Hong;Kwon, Duk-Woo
    • Journal of the Korean GEO-environmental Society
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    • v.6 no.1
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    • pp.33-44
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    • 2005
  • The 'Silt Pond' is 180 hectares in size and contained ultra soft slurry-like soil varying between 3 to 20 meters in thickness. Soil improvement work in the Silt Pond commenced by installing vertical drains in the mid of 1996, following completion of sand spreading up to +4.0m CD. Prior to soil improvement work in the main area of Silt Pond, experimental tests including laboratory tests with a large diameter consolidation cell and pilot tests were carried out to investigate the deformation behavior of an extremely soft soil. Due to its high compressibility, large strain usually occurred in the initial stage of deformation does not comply with Terzaghi's one dimensional consolidation theory. Taking into consideration experimental test results, the soil improvement works were carried out in main area of Silt Pond containing ultra soft soil. This paper presents the case study on improvement of ultra-soft soil.

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Effect of Fabrication Methods on Static Strength of Polymer Based Composites under the Low Temperature Range (적층 방법에 따른 복합재의 저온 영역 하에서 정적 강도 변화)

  • Eom, Su-Hyeon;Dutta, Piyush K.;Gwon, Sun-Cheol;Kim, Guk-Jin;Kim, Yun-Hae
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.7-12
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    • 2003
  • When the wind turbine is used in cold regions, the mechanical properties and dimension stability of the blade will be changed. The proposal of this paper is to test the durability of the blade for wind turbine. It is necessary to select the most comfortable materials and fabrication processes for more stable wind turbine blade in cold regions. To select the most comfortable materials and processes, the static strength has to know through the tensile static tests at the severe condition as cold regions. First, the tensile static specimens made by RIM (Resin injection molding) process & vacuum bagging process with reinforcement materials and resin. Tensile static tests were carried out on three laminate lay-ups (carbon prepreg, carbon fiber dry fabric and glass fiber dry fabric) at different test temperature($24^{\circ}$, $-30^{\circ}$), determining properties such as the mechanical strength, stiffness and strain to failure. At different test temperature, in order to test the tensile strengths of these specimens used the low temperature chamber. Next, the results of this test were compared with each other. Finally, the most comfortable materials and fabrication processes can select based on these results. The results show the changes in the static behavior of three laminate lay-ups at different test temperatures. At low temperatures, the static strengths are higher than the ones at room temperature.

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Numerical investigation seismic performance of rigid skewed beam-to-column connection with reduced beam section

  • Zareia, Ali;Vaghefi, Mohammad;Fiouz, Ali R.
    • Structural Engineering and Mechanics
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    • v.57 no.3
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    • pp.507-528
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    • 2016
  • Reduced beam section (RBS) moment resisting connections are among the most economical and practical rigid steel connections developed in the aftermath of the 1994 Northridge and the 1995 Kobe earthquakes. Although the performance of RBS connection has been widely studied, this connection has not been subject to in the skewed conditions. In this study, the seismic performance of dogbone connection was investigated at different angles. The Commercial ABAQUS software was used to simulate the samples. The numerical results are first compared with experimental results to verify the accuracy. Nonlinear static analysis with von Mises yield criterion materials and the finite elements method were used to analyze the behavior of the samples The selected Hardening Strain of materials at cyclic loading and monotonic loading were kinematics and isotropic respectively The results show that in addition to reverse twisting of columns, change in beam angle relative to the central axis of the column has little impact on hysteresis response of samples. Any increase in the angle, leads to increased non-elastic resistance. As for Weak panel zone, with increase of the angle between the beam and the column, the initial submission will take place at a later time and at a larger rotation angle in the panel zone and this represents reduced amount of perpendicular force exerted on the column flange. In balanced and strong panel zones, with increase in the angle between the beam and the central axis of the column, the reduced beam section (RBS), reaches the failure limit faster and at a lower rotation angle. In connection of skewed beam, balanced panel zone, due to its good performance in disposition of plasticity process away from connection points and high energy absorption, is the best choice for panel zone. The ratio of maximum moment developed on the column was found to be within 0.84 to 1 plastic anchor point, which shows prevention of brittle fracture in connections.

Evaluation of Ductility Capacity of Reinforced Concrete Bridge Columns Subject to Cyclic Loading Using Flexibility-Based Fiber Element Method (유연도법 섬유요소모델에 의한 반복하중을 받는 철근콘크리트 교각의 연성능력 평가)

  • 고현무;조근희;조호현
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.3
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    • pp.11-21
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    • 2002
  • The evaluation of displacement ductility is performed by direct method through tracking the inelastic hysteretic behavior of RC bridge columns subject to cyclic loading using a flexibility-based fiber element mode. To reasonably track the inelastic behavior until the RC bridge column reaches its ultimate state, the average stress-average strain relations and joint elements, which agree well with experiments, are modified and applied considering the tension stiffening behavior and discontinuous displacement between the column and its base. In addition the evaluation of displacement ductility is performed by a direct method easily applicable to numerical analysis. Locations for the integration points, values for the post-crushing concrete strength and low-cycle fatigue failure of longitudinal reinforcement that affect the calculation of yielding and ultimate displacements are proposed for the application to flexibility-based fiber element model. Since less than 10% of error occurs during the displacement ductility analysis, the yielding and ultimate displacements evaluated by the applied analysis method and model appear to be valid.