• 제목/요약/키워드: Fracture stress

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반도체패키지에서의 층간박리 및 패키지균열에 대한 파괴역학적 연구 (1) -층간박리- (A Fracture Mechanics Approach on Delamination and Package Crack in Electronic Packaging(l) -Delamination-)

  • 박상선;반용운;엄윤용
    • 대한기계학회논문집
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    • 제18권8호
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    • pp.2139-2157
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    • 1994
  • In order to understand the delamination between leadframe and epoxy molding compound in an electronic packaging of surface mounting type, the stress intensity factor, T-stress and J-integral in fracture mechanics are obtained. The effects of geometry, material properties and molding process temperature on the delamination are investigated taking into account the temperature dependence of the material properties, which simulates as more realistic condition. As the crack length increases the J-integral increases, which suggest that the crack propagates if it starts growing from the small size. The effects of the material properties and molding process temperature on stress intensity factor, T-stress is and J-integral are less significant than the chip size for the practical cases considered here. The T-stress is negative in all eases, which is in agreement with observation that interfacial crack is not kinked until the crack approaches the edge of the leadframe.

압축잔류응력이 스프링강의 고온환경 피로크랙 진전거동에 미치는 영향 (An Effect of Compressive Residual Stress on a High Temperature Fatigue Crack Propagation Behavior of The Shot-peened Spring Steel)

  • 박경동;정찬기
    • 한국해양공학회:학술대회논문집
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    • 한국해양공학회 2002년도 춘계학술대회 논문집
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    • pp.117-124
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    • 2002
  • The lightness of components required in automobile and machinery industry is requiring high strength of components. In particular, manufacturing process and new materials development for solving the fatigue fracture problem attendant upon high strength of suspension of automobile are actively advanced. In this paper, the effect of compressive residual stress of spring steel(JISG SUP-9) by shot-peening on fatigue crack growth characteristics in high temperatures($100^{\circ}C,\;150^{\circ}C,\;180^{\circ}C$) was investigated with considering fracture mechanics. So, we can obtain followings. (1) Compressive residual stress is decreased in high temperature, that is, with increasing temperature. (2) The effect of compressive residual stress on fatigue crack growth behavior in high temperature is increased below ${\Delta}K=17{\sim}19MPa\sqrt{m}$. The fatigue crack growth rate is increased with increasing temperature. The fatigue life is decreased with increasing temperature. (3) The dependence of temperature and compressive residual stress on the parameters C and m in Paris' law formed the formulas such as equations (3),(4),(5),(6),(7),(8),(9),(10). (4) It was investigated by SEM that the constraint of compress residual stress for plastic zone of fatigue crack tip was decreased in high temperature as compared with room temperature.

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등가분포응력을 이용한 피로균열전파해석에 관한 연구 (A Study on the Fatigue Crack Propagation Analysis Using Equivalent Stress Distribution)

  • 김창욱;노인식;도관수
    • 대한조선학회논문집
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    • 제39권2호
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    • pp.61-68
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    • 2002
  • K-a 관계가 동일하면, 선형파괴역학적 견지에서 균열개구 거동이 같다고 가정할 수 있다. 본 연구에서는 실제 구조물과 같은 K-a 관계를 주는 무한판 관통균열의 응력분포를 등가분포응력으로 정의한다. 실제 구조물과 동일한 K-a 관계가 구현되는 응력분포를 간단한 시험편에 작용시켜, 피로균열전파 해석을 수행하면 실제 구조요소의 피로전파수명 추정이 가능하다. 구조물에 대한 K-a 관계는 유한요소법 등의 이산화 수법 혹은 간이 추정법 등에 의하여 추정이 가능하다. 등가분포응력을 이용하여 유효 균열진전 음력을 구하는 방법의 타당성을 검토한다.

Stress corrosion index of Kumamoto andesite estimated from two types of testing method

  • Jeong Hae-Sik;Nara Yoshitaka;Obara Yuzo;Kaneko Katsuhiko
    • 한국지구물리탐사학회:학술대회논문집
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    • 한국지구물리탐사학회 2003년도 Proceedings of the international symposium on the fusion technology
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    • pp.221-228
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    • 2003
  • The stress corrosion index of Kumamoto andesite are evaluated by two types of testing method. One is the uniaxial compression test under various water vapor pressures, and the other is the double torsion (DT) test under a constant water vapor pressure. For the uniaxial compression tests, the uniaxial compressive strength increases linearly with decreasing water vapor pressure on the double logarithmic coordinates. As the results, the stress corrosion index obtained is estimated 44. On the other hand, in the DT test, the relaxation (RLX) test and the constant displacement rate (CDR) test were conducted. For the CDR test, as the displacement rate of loading point increases, the crack velocity increases. However, the fracture toughness is constant regardless of the change in displacement rate and the average fracture toughness is evaluated $2.07MN/m^{3/2}$. For the RLX test, the crack velocity-stress intensity factor curves are smooth and linear. The stress corrosion index estimated from the curves is 37. Comparing stress corrosion indexes in the uniaxial compression test and the DT test, there is no significant difference in these values, and they are considered to be in coincident each other regardless of testing methods. Therefore, it is concluded that stress corrosion is one of material constants of rock.

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현가장치용 SUP-9강의 피로파괴에 미치는 압축잔류응력의 영향 (The Effect of Compressive Residual Stress on Fatigue Fracture of the Spring steel)

  • 박경동;진영범
    • 한국기계가공학회지
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    • 제3권3호
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    • pp.79-85
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    • 2004
  • The lightness of components required in automobile and machinery industry is requiring high strength of components. In particular, fatigue failure phenomena, which happen in metal, bring on danger in human life and property. Therefore, antifatigue failure technology takes an important part of current industries. Currently, the shot peening is used for removing the defects from the surface of steel and improving the fatigue strength on surface. Therefore, in this paper the effect of compressive residual stress of spring steel(JISG SUP-9)by shot peening on fatigue crack growth characteristics in stress ratio(R=0 1, R=0 3, R=0 6)was investigated considering fracture mechanics. By using the methods mentioned above, I arrived at the following conclusions: (1) The fatigue crack growth rate(da/dN) of the shot peening material was lower than the unpeening material And in stage I, ${\Delta}K_{th}$, the threshold stress intensity factor, of the shot peening material is high in critical parts unlike the unpeening material. (2) Fatigue life shows more Improvement in the shot peening material than in the unpeening material. And compressive residual stress of surface on the shot peening processed operate the resistance of fatigue crack propagation.

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AlN/W계 복합재료의 기계적 특성과 미세구조 (Mechanical Properties and Microstructure of AlN/W Composites)

  • 윤영훈;최성철;박철원
    • 한국세라믹학회지
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    • 제33권1호
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    • pp.83-91
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    • 1996
  • Monolithic AlN and AlN-W composites were fabricated by pressure-less sintering at 190$0^{\circ}C$ under nitrogen atmosphere and the influences of tungsten phase on the microstructure and mechanical properties were investi-gated. In the fabrication of sintered specimen no additive was used. And monolithic AlN showed substantial grain growth and low relative density. AlN-W composites were fully densified and grain growths of matrix were inhibited. The densification behavior of composites were inferred to be achieved through the liquid phase sintering process such as particle-rearrangement and solutino-reprecipitation. Also the oxid phases which is expected to form liquid phases duringsintering process were detected by XRD analysis. As the tungsten volume content increases fracture strength was decreased and fracture toughness was increased. It was suppo-sed that the strength decrease of composites with tungsten content was due to existence of interface phases. The subcritical crack growth behavior was observed from the stress-strain curve of composites. The effect of the secondary phase and interface phases on toughness in crease were studied through observation of crack propagation path and the influence of residual stress on crack propagation was investigated by X-ray residual stress measurement. In the result of residual stress measurement the compressive stress of matrix in composi-test was increased with tungsten volume content and the compressive stress distribution of matrix must have contributed to the inhibition of crack propagation.

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V-노치균열의 응력장과 경계배치법에 의한 파괴변수 (Stress Fields for the V-notched Crack and Fracture Parameters by Boundary Collocation Method)

  • 배정배;최성렬
    • 대한기계학회논문집A
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    • 제27권1호
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    • pp.66-76
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    • 2003
  • The arbitrary V-notched crack problem is considered. The general expressions for the stress components on this problem are obtained as explicit series forms composed of independent unknown coefficients which are denoted by coefficients of eigenvector. For this results eigenvalue equation is performed first through introducing complex stress functions and applying the traction free boundary conditions. Next solving this equation, eigenvalues and corresponding eigenvectors are obtained respectively, and finally inserting these results into stress components, the general equations are obtained. These results are also shown to be applicable to the symmetric V-notched crack or straight crack. It can be shown that this solutions are composed of the linear combination of Mode I and Mode II solutions which are obtained from different characteristic equations, respectively. Through performing asymptotic analysis for stresses, the stress intensity factor is given as a closed form equipped with the unknown coefficients of eigenvector. In order to calculate the unknown coefficients. based on these general explicit equations, numerical programming using the overdetermined boundary collocation method which is algorithmed originally by Carpenter is also worked out. As this programming requires the input data, the commercial FE analysis for stresses is performed. From this study, for some V-notched problems, unknown coefficients can be calculated numerically and also fracture parameters are determined.

Analysis of the Failure Stress in Pyrotechnically Releasable Mechanical Linking Device

  • Lee, Yeung-Jo;Kim, Dong-Jin;Kang, Won-Gyu
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2008년 영문 학술대회
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    • pp.813-822
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    • 2008
  • The present work has been developed the interpretation processor including analysis of the failure stress in pyrotechnically releasable mechanical linking device, which has the release characteristic without fragmentation and pyro-shock, using SoildWorks, COSMOS Works and ANSYS programs. The aim of the invention is to propose a pyrotechnically releasable mechanical linking device for two mechanical elements that does not suffer from such drawbacks. The pyrotechnically releasable mechanical linking device according to the invention is simple, compact and inexpensive in structure. It is simple to implement and permit the use of only a reduced quantity of pyrotechnic composition, such composition possibly being devoid of any primary explosive at all. The present work is only focused on the design of structure and the material characteristics. To analyze the fracture morphology resulted from tensile test in the different ball type bolts, the present work has been performed to estimate the failure stress of material and to make the same result from tensile test. The failure stress of SUS 630 in ductile material is approximately 1050 Mpa. The failure stress of SUS 420 in brittle material is about 1790 Mpa. Among the models used the ductile material, the model 6 is suitable a design of structure compared to that of other models. The use of this interpretation processor developed the present work could be extensively helped to estimate the failure stress of material having a complex geometry such as the ball type bolt

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Micromechanical 시험법과 전기저항 측정을 이용한 탄소섬유 강화 Epoxy-AT-PEI복합재료의 비파괴적 손상 감지능 및 계면물성 평가 (Interfacial Evaluation and Nondestructive Damage Sensing of Carbon Fiber Reinforced Epoxy-AT-PEI Composites using Micromechanical Test and Electrical Resistance Measurement)

  • Joung-Man Park;Dae-Sik Kim;Jin-Woo Kong;Minyoung Kim;Wonho Kim
    • Composites Research
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    • 제16권2호
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    • pp.62-67
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    • 2003
  • Microdroplet 시험법과 전기저항 측정을 이용하여 탄소섬유강화 epoxy-AT-PEI 복합재료의 손상 감지능 및 계면물성평가에 대한 연구를 수행하였다. AT-PEI 함량이 증가함에 따라 기지재료의 파괴인성은 증가하였으며, 이로 인한 에너지흡수 메커니즘에 의해서 계면전단강도 역시 증가하였다. Microdroulet 시험에서 순수 에폭시는 취성파괴 현상을 그리고 15 phr AT-PEI의 경우에는 파괴인성의 증가로 인해 연성 파단 현상을 관찰할 수 있었다. 경화 후에 열 수축에 의한 전기저항 변화는 AT-PEI 함량 증가에 따라 증가하였으며. 가변하중 하에서 순수 에폭시에 함침된 탄소섬유의 같은 응력까지의 도달시간과 기울기는 15 phr AT-PEI의 경우보다 더 빠르고 높았다. 경화과정과 가역적인 하중 하에서의 전기저항 측정으로부터 얻은 결과는 기지재료의 파괴인성과 잘 일치하였다.

ON CRACK INTERACTION EFFECTS OF IN-PLANE SURFACE CRACKS USING ELASTIC AND ELASTIC-PLASTIC FINITE ELEMENT ANALYSES

  • Kim, Jong-Min;Huh, Nam-Su
    • Nuclear Engineering and Technology
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    • 제42권6호
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    • pp.680-689
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    • 2010
  • The crack-tip stress fields and fracture mechanics assessment parameters for a surface crack, such as the elastic stress intensity factor or the elastic-plastic J-integral, can be affected significantly by the adjacent cracks. Such a crack interaction effect due to multiple cracks can alter the fracture mechanics assessment parameters significantly. There are many factors to be considered, for instance the relative distance between adjacent cracks, the crack shape, and the loading condition, to quantify the crack interaction effect on the fracture mechanics assessment parameters. Thus, the current assessment codes on crack interaction effects (crack combination rules), including ASME Sec. XI, BS7910, British Energy R6 and API 579-1/ASME FFS-1, provide different rules for combining multiple surface cracks into a single surface crack. The present paper investigates crack interaction effects by evaluating the elastic stress intensity factor and the elastic-plastic J-integral of adjacent in-plane surface cracks in a plate through detailed 3-dimensional elastic and elastic-plastic finite element analyses. The effects on the fracture mechanics assessment parameters of the geometric parameters, the relative distance between two cracks, and the crack shape are investigated systematically. As for the loading condition, an axial tension is considered. Based on the finite element results, the acceptability of the crack combination rules provided in the existing guidance was investigated, and the relevant recommendations on a crack interaction for in-plane surface cracks are discussed. The present results can be used to develop more concrete guidance on crack interaction effects for crack shape characterization to evaluate the integrity of defective components.