• Title/Summary/Keyword: 응력 확대계수

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Boundary Element Analysis for Edge Cracks at the Bonding Interface of Semiconductor Chip (반도체 칩 접착계면의 모서리 균열에 대한 경계요소 해석)

  • 이상순
    • Journal of the Microelectronics and Packaging Society
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    • v.8 no.3
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    • pp.25-30
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    • 2001
  • The stress intensity factors for edge cracks located at the bonding interface between the semiconductor chip and the adhesive layer subjected to a uniform transverse tensile strain are investigated. Such cracks might be generated due to a stress singularity in the vicinity of the free surface. The boundary element method (BEM) is employed to investigate the behavior of interface stresses. The amplitude of complex stress intensity factor depends on the crack length, but it has a constant value at large crack lengths. The rapid propagation of interface crack is expected if the transverse tensile strain reaches a critical value.

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Effect of Residual Stress on Fatigue Characteristics at the Welds of Stainless Steel (스테인리스강 용접부의 잔류응력이 피로특성에 미치는 영향)

  • 권종완;양현태
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.5
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    • pp.110-117
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    • 2001
  • In the weldments, the crack propagation rate is changed due to the residual stress. The crack propagation rate is high in the region with the residual stress. However it shows the same behavior with the base metal in the region that does not include the residual stress. The fatigue crack growth rate for the material with residual stresses can be predicted more precisely by using the effective stress ratio. The difference between experimental results and prediction results seems to be due to the redistribution of the residual stresses and microstructural change.

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Numerical Analysis of a Crack in the Vicinity of an Inclusion (함유체에 인접한 크랙에 관한 수치해석)

  • 이정기;라원석
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.3
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    • pp.465-474
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    • 1999
  • A recently developed numerical method based on a volume integral formulation is applied to calculate the accurate stress intensity factors at the crack tips in unbounded isotropic solids in the presence of multiple anisotropic inclusions and cracks subject to external loads. In this paper, a detailed analysis of the stress intensity factors are carried out for an unbounded isotropic matrix containing an orthotropic cylindrical inclusion and a crack. The accuracy and effectiveness of the new method are examined through comparison with results obtained from analytical method and finite element method using ANSYS. It is demonstrated that this new method is very accurate and effective for solving plane elastostatic problems in unbounded solids containing anisotropic inclusions and cracks.

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The development of mongrel singular element with J-integral and the toughness test for Al 7075-T6 wing spar (J적분을 첨가한 mongrel 특이요소 개발 및 Al 7075-T6 wing spar파괴인성 실험)

  • 강치행
    • Journal of the Korea Institute of Military Science and Technology
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    • v.1 no.1
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    • pp.154-165
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    • 1998
  • In this paper, the mongrel singular element with 6 node triangle and 8 node quadrilateral element with J-integral are developed and applied to the various plane crack problems for the isotropic material. The convergence nature is excellent for various crack size with even coarse mesh using the direct method. But the results of the mongrel element with J-integral are worse than the former's ones. Fracture tests were conducted on precracked CT specimens. Results show that, for 7075-T6 aluminum wing spar materials, the fracture toughness is 31.06 ksi.inch $\frac{1}{2}$ in the L-T direction.

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Analysis of Interfacial Surface Crack Perpendicular to the Surface (표면에 수직한 계면방향 표면균열의 해석)

  • 최성렬
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.277-284
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    • 1993
  • Interfacial surface crack perpendicular to the surface, which is imbedded into bonded quarter planes under single anti-plane shear load is analyzed. The problem is formulated using Mellin transform, form which single Wiener-Hopf equation is derived. By solving the equation stress intensity factor is obtained in closed form. This solution can be used as a Green's function to generate the solutions of other problems with the same geometry but of different loading conditions.

On Computation of the Stress Intensity Factors in the V-Notched Plates using a contour integral method (경로적분법 을 이용한 V-노치 평판 의 응력확대계수 계산)

  • 김진우;김선덕;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.3
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    • pp.232-240
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    • 1984
  • The plane elastostatic boundary value problem with the sharp V-notched singularity is formulated by a contour integral method for determining numerically the stress intensity factors. The integral formula is based on Somigliana type of reciprocal work in terms of displacement and traction vectors on the plate boundary. The characteristic singular solutions can be identified on the basis of traction free boundary conditions of two radial notch edges. Two numerical example examples are treated in detail; a symmetric mode-I type of notched plate with various interior angles and a mixed mode type of cantilever subjected to end shear.

Stress Intensity Factor Calculation for the Semi-elliptical Surface Flaws on the Thin-Wall Cylinder using Influence Coefficients (영향계수를 이용한 원통용기 표면결함의 응력확대계수의 계산)

  • Jang, Chang-Heui;Moonn, Ho-Rim;Jeong, Ill-Seok
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.280-285
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    • 2001
  • As an integral part of the probabilistic fracture mechanics analysis, stress intensity factor calculation scheme for semi-elliptical surface flaws in thin-walled cylinder has been introduced. The approximation solution utilizes the influence coefficients to calculate the stress intensity factor at the crack tip. This method has been compared with other solution methods including 3-D finite element analysis for cooldown boundary condition. The analysis results confirmed that the simplified methods provided sufficiently accurate stress intensity factor values for axial semi-elliptcal flaws on the surface of the reactor pressure vessel.

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A Three-Dimensional Progressive Failure Model for Joints Considering Fracture Mechanics and Subcritical Crack Growth in Rock (암석파괴역학에 의한 3차원 절리면의 진행성 파괴 모델)

  • Kim, Chee-Hwan;Kemeny, John
    • Tunnel and Underground Space
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    • v.19 no.2
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    • pp.86-94
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    • 2009
  • A three dimensional rock joint element was developed considering fracture mechanics and subcritical crack growth to simulate non-linear behavior and the progressive failure of rock joints. Using this 3-D joint element, joint shear tests of rock discontinuities were simulated by a numerical method. The asperities on the joint surface began to fail at stress levels lower than the rock fracture toughness and continued progressively due to subcritical crack growth. As a result of progressive failing in each and every asperity, the joint showed non-linear stress-time behavior including stress hardening/softening and the reaching of a residual stress.

A study on the fatigue crack growth behavior of aluminum alloy weldments in welding residual stress fields (용접잔류응력장 중에서의 Aluminum-Alloy용접재료의 피로균열성장거동 연구)

  • 최용식;정영석
    • Journal of Welding and Joining
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    • v.7 no.1
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    • pp.28-35
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    • 1989
  • The fatigue crack growth behavior in GTA butt welded joints of Al-Alloy 5052-H38 was examined using Single Edge Notched(SEN) specimens. It is well known that welding residual stress has marked influence on fatigue crack growth rate in welded structure. In the general area of fatigue crack growth in the presence of residual stress, it is noted that the correction of stress intensity factor (K) to account for residual stress is important for the determination of both stress intensity factor range(.DELTA.K) and stress ratio(R) during a loading cycle. The crack growth rate(da/dN) in welded joints were correlated with the effective stress intensity factor range(.DELTA.Keff) which was estimated by superposition of the respective stress intensity factors for the residual stress field and for the applied stress. However, redistribution of residual stress occurs during crack growth and its effect is not negligible. In this study, fatigue crack growth characteristics of the welded joints were examined by using superposition of redistributed residual stress and discussed in comparison with the results of the initial welding residual stress superposition.

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