• 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.

• Composites Research
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• 제14권2호
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• pp.50-59
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• 2001

다목적헬리콥터용으로 설계된 복합재 무힌지 로터깃에 대하여 강도저하모델을 활용하여 비행모사 하중스펙트럼에 따라 피로파손 확률분포와 잔여강도 변화거동을 해석하여 피로수명을 예측하였다. 이때 작용하는 피로하중은 실제 헬리콥터 운용상태를 모사하는 무힌지 로터깃의 표준하중스펙트럼인 FELIX 데이터로부터 비행 대 비행 하중스펙트럼을 구성하였고 피로손상이 가장 극심하게 예상되는 깃뿌리 부근의 국부응력스펙트럼은 스킨과 스파의 적층구조해석을 수행함으로써 구하였다.

• 콘크리트학회지
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• 제5권4호
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• pp.179-187
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• 1993

본 연구에서는 콘크리트의 강도수준에 따른 피로실험을 수행하여 고강도 콘크리트의 피로거동 특성을 분석하였다. 실험변수는 4종류의 강도수준(26 MPa, 54 MPa, 82 MPa, 103 MPa)과 4종류의 최고 응력수준(75%, 80%, 85%, 95%)이며 실험에 사용된 공시체는 ${\phi}100{\times}200mm$의 원통형 공시체로서 총 160개가 제작되었다. 실험결과, 강도수준이 증가함에 따라 피로강도가 감소하였고 강도수준의 영향을 고려한 S-N-f'c 관계식을 제안하였다. 또한 강도수준의 영향 이외에도 변형도율 효과를 도입하여 피로실험과 압축실험에서 발생하는 하중재하율의 차이를 보정하였다. 한편, 피로 비탄성변형도는 강도수준이 증가함에 따라 감소하였으나 반복횟수에 따른 변형도 증가율은 강도수준이 높을수록 큰 것으로 나타났다.

• Structural Engineering and Mechanics
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• 제17권1호
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• pp.51-68
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• 2004

Since the linear elastic fracture analysis has been proved to be insufficient in predicting the failure of strain hardening materials, a number of fracture concepts have been studied which remain applicable in the presence of plasticity near a crack tip. This work thereby presents a new finite element model to predict the elastic-plastic crack-tip field and fatigue life of center-cracked panels(CCP) with ductile fracture under large-scale yielding conditions. Also, this study has been carried out to investigate the path-dependence of J-integral within the plastic zone for elastic-perfectly plastic, bilinear elastic-plastic, and nonlinear elastic-plastic materials. Based on the incremental theory of plasticity, the p-version finite element is employed to account for the accurate values of J-integral, the most dominant fracture parameter, and the shape of plastic zone near a crack tip by using the J-integral method. To predict the fatigue life, the conventional Paris law has been modified by substituting the range of J-value denoted by ${\Delta}J$ for ${\Delta}K$. The experimental fatigue test is conducted with five CCP specimens to validate the accuracy of the proposed model. It is noted that the relationship between the crack length a and ${\Delta}K$ in LEFM analysis shows a strong linearity, on the other hand, the nonlinear relationship between a and ${\Delta}J$ is detected in EPFM analysis. Therefore, this trend will be depended especially in the case of large scale yielding. The numerical results by the proposed model are compared with the theoretical solutions in literatures, experimental results, and the numerical solutions by the conventional h-version of the finite element method.

• 한국산학기술학회논문지
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• 제12권3호
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• pp.1085-1090
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• 2011

철도차량의 안전성을 확보하기위해서는 견인성능 및 속도의 변동성을 고려하여 감속기의 피로해석에 관한 연구를 수행하는 것이 중요하다. 본 논문은 고속철도차량 감속기 기어의 변동하중하에서 피로파괴에 대하여 준정적 유한요소해석과 선형 Miner's Rule에 의한 내구성해석을 수행하였다. 해석을 위한 변동하중이력은 열차견인성능곡선과 상업운전조건에서 운전선도를 기초로 MSC.ADAMS의 동역학 해석에 의하여 구축하였다. 또한 감속기 피로수명은 기어표면의 침탄부 효과를 고려한 유한요소모델을 사용하여 변형률-수명접근법에 의하여 예측하였다. 해석결과로부터 급출발에 의한 빈번한 높은 기동토크와 정차역수의 증가는 철도차량 감속기 기어수명을 감소시킴을 알 수 있었다.

• 마이크로전자및패키징학회지
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• 제10권1호
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• pp.45-50
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• 2003

시스템 보드에 플립 칩 BGA가 실장된 3차원 유한요소 해석 모델을 구성하여 열사이클시험 과정에서 발생되는 솔더 접합부의 피로수명을 예측하였다. 피로 모델은 Darveaux의 경험식에 기초하여 비선형 점소성 해석을 수행하였다. 해석은 4종류의 열사이클시험 조건과 패드구조, 솔더 볼의 조성과 크기의 변화에 따라 발생하는 크리프 수명을 평가하였다. 해석결과 $-65∼150^{\circ}C$의 열사이클시험 조건에서 가장 짧은 피로수명을 보였으며, $0∼100^{\circ}C$ 조건과 비교하면 약 3.5 배 정도 증가하였다. 동일한 시험조건에서 패드구조 변화에 따른 피로수명 차이는 SMD구조가 NSMD구조에 비해 약 5.7% 증가하였다 결과적으로 솔더 접합부에서 크리프 변형에너지 밀도가 높으면 피로수명은 짧아지는 것을 알 수 있었다

• Computers and Concrete
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• 제25권1호
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• pp.67-73
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• 2020

Traditionally used analytical approach to predict the fatigue failure of reinforced concrete (RC) structure is generally conservative and has certain limitations. The nonlinear finite element method (FEM) offers less expensive solution for fatigue analysis with sufficient accuracy. However, the conventional implicit dynamic analysis is very expensive for high level computation. Whereas, an explicit dynamic analysis approach offers a computationally operative modelling to predict true responses of a structural element under periodic loading and might be perfectly matched to accomplish long life fatigue computations. Hence, this study simulates the fatigue behaviour of RC beams with finite element (FE) assemblage presenting a simplified explicit dynamic numerical solution to show computer aided fatigue behaviour of RC beam. A commercial FEM package, ABAQUS has been chosen for this complex modelling. The concrete has been modelled as a 8-node solid element providing competent compression hardening and tension stiffening. The steel reinforcements are simulated as two-node truss elements comprising elasto-plastic stress-strain behaviour. All the possible nonlinearities are duly incorporated. Time domain analysis has been adopted through an automatic Newmark-β time incremental technique. The program consists of twelve RC beams to visualize the real behaviour during fatigue process and to obtain the reliability of the study. Both the numerical and experimental results indicate a redistribution of stresses along the time and damage accumulation of beam which severely affect the serviceability and ultimate capacity of RC beam. The output of the FEM analysis demonstrates good match with the experimental consequences which affirm the efficacy of the computer aided model. The controlled fatigue damage evolution at service fatigue load limits makes the FE model an efficient tool in predicting high cycle fatigue behaviour of RC structures.

• Nuclear Engineering and Technology
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• 제53권8호
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• pp.2600-2609
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• 2021

Low cycle fatigue behaviors of SA508-3 low-alloy steel were investigated in room-temperature air, high-temperature air and in light water reactor (LWR) water environments. The fatigue mean curve and design curve for the low-alloy steel are developed based on the fatigue data in room-temperature and high-temperature air. The environmental fatigue model for low-alloy steel is developed by the environmental fatigue correction factor (F_en) methodology based on the fatigue data in LWR water environments with the consideration of effects of strain rate, temperature, and dissolved oxygen concentration on the fatigue life.

• 한국항공우주학회지
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• 제35권7호
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• pp.601-611
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• 2007

기계적 체결로 조립된 대부분의 항공기 구조는 볼트나 리벳구멍 가장자리의 부재간 접촉면 또는 체결구멍 부위에서 프레팅 손상을 받게 된다. 이러한 프레팅 부분슬립 경계부위에는 높은 접촉응력이 유발되고 이로 인해 프레팅 피로균열이 조기에 발생되어 피로수명을 현저히 감소시키게 된다. 본 연구는 2024-T351 알루미늄 합금판에 대하여 서로 다른 프레팅 조건하에서 일련의 프레팅 피로실험을 수행하여 역학적 파라미터와 프레팅 접촉조건 변수들과의 정량적 연계성을 검토하였다. 그리고 역학적 파라미터를 기초로 하는 기존의 수명예측 모델의 유효성을 분석하고 수정 적용하였다. 또한 파라미터 변화에 따른 접촉면에서의 응력 및 변형률 변화 거동을 고찰하기 위하여 탄소성 유한요소해석을 통하여 접촉응력을 해석하고 프레팅접촉 파라미터들과 피로균열 발생수명 사이의 관계에 대해 고찰하였다.

• 한국공작기계학회논문집
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• 제16권5호
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• pp.134-139
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• 2007

This paper presents a computer-based analysis on the thermal shock characteristics of Pb-free solder joints and UBM in flip chip assemblies. Among four types of popular UBM systems, TiW/Cu system with 95.5Sn-3.9Ag-0.6Cu solder joints was chosen for simulation. A simple 3D finite element model was first created only including silicon die, mixture between underfill and solder joints, and substrate. The displacements due to CTE mismatch between silicon die and substrate was then obtained through FE analysis. Finally, the obtained displacements were applied as mechanical loads to the whole 2D FE model and the characteristics of flip chip assemblies were analyzed. In addition, based on the hyperbolic sine law, the accumulated creep strain of Pb-free solder joints was calculated to predict the fatigue life of flip chip assemblies under thermal shock environments. The proposed method for fatigue life prediction will be evaluated through the cross check of the test results in the future work.