• 제목/요약/키워드: shear displacement/stress

검색결과 449건 처리시간 0.032초

A displacement solution for circular openings in an elastic-brittle-plastic rock

  • Huang, Houxu;Li, Jie;Rong, Xiaoli;Hao, Yiqing;Dong, Xin
    • Geomechanics and Engineering
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    • 제13권3호
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    • pp.489-504
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    • 2017
  • The localized shear and the slip lines are easily observed in elastic-brittle-plastic rock. After yielding, the strength of the brittle rock suddenly drops from the peak value to the residual value, and there are slip lines which divide the macro rock into numbers of elements. There are slippages of elements along the slip lines and the displacement field in the plastic region is discontinuous. With some restraints, the discontinuities can be described by the combination of two smooth functions, one is for the meaning of averaging the original function, and the other is for characterizing the breaks of the original function. The slip lines around the circular opening in the plastic region of an isotropic H-B rock which subjected to a hydrostatic in situ stress can be described by the logarithmic spirals. After failure, the deformation mechanism of the plastic region is mainly attributed to the slippage, and a slippage parameter is introduced. A new analytical solution is presented for the plane strain analysis of displacements around circular openings. The displacements obtained by using the new solution are found to be well coincide with the exact solutions from the published sources.

블럭식 보강토 옹벽의 거동 특성 연구 (Investigation on Behavior of Reinforced Segmental Retaining Walls)

  • 유충식;이광문
    • 한국지반공학회논문집
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    • 제15권1호
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    • pp.53-62
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    • 1999
  • 블럭식 보강토 옹벽이 매우 활발히 적용되고 있음에도 불구하고 아직까지 블럭식 보강토 옹벽을 구성하는 블럭 벽체, 보강재, 뒤채움흙, 블럭/뒤채움흙 접촉면 등의 구성요소가 옹벽의 거동에 어떠한 영향을 미치는지에 대한 정확한 이해가 부족하며, 보다 안전하고 경제적인 설계를 위해서는 이에 대한 심도 있는 연구가 필요한 실정이다. 따라서 본 연구에서는 유한요소해석을 이용하여 뒤채움흙의 전단특성 및 보강재의 강성이 블럭식 보강토 옹벽의 거동에 미치는 영향을 고찰하였다. 해석에서는 블럭식 보강토 옹벽의 각 구성요소 및 단계별 시공과정을 상세히 모델링하였으며, 해석결과를 토대로 뒤채움흙의 전단특성 및 보강재의 강성에 따른 벽체 변위 및 토압, 보강토체 저면 연직응력, 그리고 보강재 유발인장력 및 블럭/보강재 연결력 분포 경향을 고찰하고 현재 적용하고 있는 설계기준의 타당성을 검토하였다.

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이방성 전도 필름을 이용한 플립칩 패키지의 열피로 수명 예측 및 강건 설계 (Robust Design and Thermal Fatigue Life Prediction of Anisotropic Conductive Film Flip Chip Package)

  • 남현욱
    • 대한기계학회논문집A
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    • 제28권9호
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    • pp.1408-1414
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    • 2004
  • The use of flip-chip technology has many advantages over other approaches for high-density electronic packaging. ACF (anisotropic conductive film) is one of the major flip-chip technologies, which has short chip-to-chip interconnection length, high productivity, and miniaturization of package. In this study, thermal fatigue lift of ACF bonding flip-chip package has been predicted. Elastic and thermal properties of ACF were measured by using DMA and TMA. Temperature dependent nonlinear hi-thermal analysis was conducted and the result was compared with Moire interferometer experiment. Calculated displacement field was well matched with experimental result. Thermal fatigue analysis was also conducted. The maximum shear strain occurs at the outmost located bump. Shear stress-strain curve was obtained to calculate fatigue life. Fatigue model for electronic adhesives was used to predict thermal fatigue life of ACF bonding flip-chip packaging. DOE (Design of Experiment) technique was used to find important design factors. The results show that PCB CTE (Coefficient of Thermal Expansion) and elastic modulus of ACF material are important material parameters. And as important design parameters, chip width, bump pitch and bump width were chose. 2$^{nd}$ DOE was conducted to obtain RSM equation far the choose 3 design parameter. The coefficient of determination ($R^2$) for the calculated RSM equation is 0.99934. Optimum design is conducted using the RSM equation. MMFD (Modified Method for feasible Direction) algorithm is used to optimum design. The optimum value for chip width, bump pitch and bump width were 7.87mm, 430$\mu$m, and 78$\mu$m, respectively. Approximately, 1400 cycles have been expected under optimum conditions. Reliability analysis was conducted to find out guideline for control range of design parameter. Sigma value was calculated with changing standard deviation of design variable. To acquire 6 sigma level thermal fatigue reliability, the Std. Deviation of design parameter should be controlled within 3% of average value.

개별요소법과 한계평형법을 이용한 보은지역 암반사면 안전율 비교해석 (Comparison Analysis of Factor of Safety on Rock Slope in Boeun Region Using Distinct Element Method and Limit Equilibrium Method)

  • 이지수;유광호;박혁진;민경덕
    • 한국지반공학회논문집
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    • 제19권4호
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    • pp.33-41
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    • 2003
  • 연구대상 사면은 충북 보은군 보은읍 도로공사구간 내의 절취사면으로 절취시공 후 암반사면내의 일부 구간에서 평면파괴로 인한 사면 붕괴가 발생하였다. 이 구간에서는 파괴면과 유사한 방향성을 갖는 불연속면이 암반사면 내에 다수 분포하여 추가 붕괴가 예상되는 불안정한 상태이다. 따라서, 본 사면에 대하여 암반사면의 안정성 해석에 보편적으로 사용되는 SMR, 평사투영법, 한계평형법 및 수치해석 등의 기법을 이용하여 사면의 안정성을 해석하였다. 사면의 안정성평가에 보편적으로 사용되는 한계평형법은 간단한 계산에 의해 사면의 안정성을 평가할 수 있는 장점이 있으나 파괴 활동면을 가정할 수 없는 단일 안전율에 의해 전체 사면의 안정성을 평가하는 단점이 있다. 따라서, 본 연구에서는 개별절리를 고려하여 사면의 안정성을 평가하는 전단강도 감소기법으로부터 안전율을 계산하였으며, 이를 한계평형해석의 결과와 비교ㆍ분석하였다. 또한 본 사면내에 지하수 영향을 고려하고 보강공법을 적용하여 종합적인 안정성을 검토하였다.

디지털 이미지 분석을 이용한 지오텍스타일 공극 분포의 정량화 (Quantitative Evaluation of Geotextile Void Structures Using Digital Image Analysis)

  • 김두환
    • 한국지반신소재학회논문집
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    • 제12권1호
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    • pp.51-61
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    • 2013
  • 본 논문에서는 지오텍스타일 공극 크기 분포를 이미지 분석방법을 이용하여 정량적으로 산출하였다. 연구과정은 실내시험을 통해 지오텍스타일-지오멤브레인 층으로 된 재료를 에폭시 레진으로 포화시킨 후, 양생, 절단하여 그 표면을 디지털 광학현미경으로 관찰하고 정량화함으로 이루어졌다. 여기서는 재료공학에서 주로 사용하는 공간학(stereology)의 개념을 사용하였으며, 지오텍스타일 필라멘트에 의해 둘러싸인 공극의 크기를 최대내접공극크기분포(LIOS)로 표현하였다. 지오텍스타일 내부 축적빈도 50%에 해당하는 공극직경이 압축응력이 10kPa에서 300kPa로 증가함에 따라 $45{\mu}m$가량 감소하였으며, 다시 압축응력을 10kPa로 되돌렸을 경우 초기치의 90%정도 수준으로 회복하였다. 마찰형 지오멤브레인 표면에서 연직응력 100, 300 kPa을 받으며 전단되었을 경우 평균 공극의 크기가 각가 32, 16.5% 감소하였다. 본 논문의 시험 및 분석 결과는 지오텍스타일 내부의 최대내접공극 크기분포가 표면거칠기가 다른 지오멤브레인 표면에서 압축 및 인터페이스 전단됨에 따라 어떻게 변화하는지를 보여준다.

고정식 자켓형 해양구조물의 지반 물성치에 따른 구조 응답에 관한 연구 (A Study on the Effect of Soil Properties on Structural Behavior of Fixed Jacket Type Offshore Structure)

  • 한상웅;이강수;장범선;최준환
    • 대한조선학회논문집
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    • 제55권5호
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    • pp.438-447
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    • 2018
  • For a fixed jacket type offshore structure directly supported by the seabed, the structural behavior of offshore structure depends on the soil properties. Soil properties affect on the stiffness of the piles and the boundary condition in the structural analysis. The structural analysis is performed using PSI (Pile-Soil Interaction) suggested in the code and design rule. PSI analysis of the jacket structure is carried out after various soil types are selected according to the soil properties like internal friction angle, undrained shear strength, unit weight and so on. Three types of soil are selected by varying strength for a clay and sand, respectively. The structural analysis of the jacket structure is performed using these soils. The results about axial and lateral reaction force and the stress and displacement on the structure are compared. As a results, the structural response is smaller as the soil becomes more stiff. In conclusion, it is confirmed that the structural response of fixed jacket type offshore platform supported by seabed is sensitive to the change of soil properties.

점진적 파손해석을 이용한 탄소섬유강화 복합재료 볼트 조인트의 파손거동 예측 (Prediction of Failure Behavior for Carbon Fiber Reinforced Composite Bolted Joints using Progressive Failure Analysis)

  • 윤동현;김상덕;김재훈;도영대
    • Composites Research
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    • 제34권2호
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    • pp.101-107
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    • 2021
  • 복합재료를 활용하여 설계되는 구조물은 각 부품들의 조립, 체결부를 갖게 된다. 이러한 연결 또는 조인트는 구조에서 잠재적으로 취약 부분이 될 수 있다. 복합재료 볼트 조인트의 파손모드는 구조 안전성을 위해 베어링 파손모드로 설계된다. 베어링 파손모드로 파괴되는 복합재료 볼트 조인트의 하중-변위 관계는 초기 파손 발생 후 비선형 거동을 보이며, 점진적인 파손을 보인다. 이러한 비선형적이고 점진적인 복합재료 볼트 조인트의 파손거동을 정확히 예측하기 위해 본 연구에서는 기존의 파손해석 모델에서 전단 손상변수 계산 과정에 수정을 수행하였다. 수정된 파손해석 모델을 이용하여 복합재료 볼트 조인트의 베어링 응력-베어링 변형률 결과를 예측하였으며, 기존 수정되지 않은 해석모델과 비교를 통해 수정된 모델의 유효성을 입증하였다.

A quasi 3D solution for thermodynamic response of FG sandwich plates lying on variable elastic foundation with arbitrary boundary conditions

  • Bouiadjra, Rabbab Bachir;Mahmoudi, Abdelkader;Sekkal, Mohamed;Benyoucef, Samir;Selim, Mahmoud M.;Tounsi, Abdelouahed;Hussain, Muzamal
    • Steel and Composite Structures
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    • 제41권6호
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    • pp.873-886
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    • 2021
  • In this paper, an analytical solution for thermodynamic response of functionally graded (FG) sandwich plates resting on variable elastic foundation is performed by using a quasi 3D shear deformation plate theory. The displacement field used in the present study contains undetermined integral terms and involves only four unknown functions with including stretching effect. The FG sandwich plate is considered to be subject to a time harmonic sinusoidal temperature field across its thickness with any combined boundary conditions. Equations of motion are derived from Hamilton's principle. The numerical results are compared with the existing results of quasi-3D shear deformation theories and an excellent agreement is observed. Several numerical examples for fundamental frequency, deflection, stress and variable elastic foundation parameter's analysis of FG sandwich plates are presented and discussed considering different material gradients, layer thickness ratios, thickness-to-length ratios and boundary conditions. The results of the present study reveal that the nature of the elastic foundation, the boundary conditions and the thermodynamic loading affect the response of the FG plate especially in the case of a thick plate.

Modeling and optimization of infill material properties of post-installed steel anchor bolt embedded in concrete subjected to impact loading

  • Saleem, Muhammad
    • Smart Structures and Systems
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    • 제29권3호
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    • pp.445-455
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    • 2022
  • Steel anchor bolts are installed in concrete using a variety of methods. One of the most common methods of anchor bolt installation is using epoxy resin as an infill material injected into the drilled hole to act as a bonding material between the steel bolt and the surrounding concrete. Typical design standards assume uniform stress distribution along the length of the anchor bolt accompanied with single crack leading to pull-out failure. Experimental evidence has shown that the steel anchor bolts fail owing to the multiple failure patterns, hence these design assumptions are not realistic. In this regard, the presented research work details the analytical model that takes into consideration multiple micro cracks in the infill material induced via impact loading. The impact loading from the Schmidt hammer is used to evaluate the bond condition bond condition of anchor bolt and the epoxy material. The added advantage of the presented analytical model is that it is able to take into account the various type of end conditions of the anchor bolts such as bent or U-shaped anchors. Through sensitivity analysis the optimum stiffness and shear strength properties of the epoxy infill material is achieved, which have shown to achieve lower displacement coupled with reduced damage to the surrounding concrete. The accuracy of the presented model is confirmed by comparing the simulated deformational responses with the experimental evidence. From the comparison it was found that the model was successful in simulating the experimental results. The proposed model can be adopted by professionals interested in predicting and controlling the deformational response of anchor bolts.

A new 3D interface element for three dimensional finite element analysis of FRP strengthened RC beams

  • Kohnehpooshi, O.;Noorzaei, J.;Jaafar, M.S.;Saifulnaz, M.R.R.
    • Interaction and multiscale mechanics
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    • 제4권4호
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    • pp.257-271
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    • 2011
  • The analysis of interfacial stresses in structural component has been the subject of several investigations but it still requires more effort and studies. In this study a general three-dimensional interface element has been formulated for stress and displacement analyses in the interfacial area between two adjacent plate bending element and brick element. Interface element has 16 nodes with 5 degrees of freedom (DOF) in each node adjacent to plate bending element and 3 DOF in each node adjacent to brick element. The interface element has ability to transfer three translations from each side of interface element and two rotations in the side adjacent to the plate element. Stiffness matrix of this element was formulated and implemented in three-dimensional finite element code. Application of this element to the reinforced concrete (RC) beam strengthened with fiber reinforced polymer (FRP) including variation of deflection, slip between plate and concrete, normal and shear stresses distributions in FRP plates have been verified using experimental and numerical work of strengthened RC beams carried out by some researchers. The results show that this interface element is effective and can be used for structural component with these types of interface elements.