• 제목/요약/키워드: Elliptic Crack

검색결과 17건 처리시간 0.026초

타원균열에 작용하는 일반적인 하중에서의 응력확대계수 계산 (Determination of $k_1$in Elliptic Crack under General Ioading Conditions)

  • 안득만
    • 대한기계학회논문집A
    • /
    • 제21권2호
    • /
    • pp.232-244
    • /
    • 1997
  • In this paper weight function theory is extended to the determination of the stress intensity factors for the mode I in elliptic crack. For the calculation of the fundamental fields Poisson's theorem and Ferrers's method were employed. Fundamental fields are constructed by single layer potentials with surface density of crack harmonic fundamental polynimials. Crack harmonic fundamental polynimials up to order four were given explicitly. As an example of the application of the weight function theory the stress intensity factors along crack tips in nearly penny-shaped elliptic crack are calculated.

뫼비우스 사상을 이용한 임의의 3차원 평면균열에서의 응력확대계수 계산 (Calculation of Stres Intensity Factor in Arbitrarily Shaped Plane Crack by Mobius Transformation)

  • 안득만
    • 대한기계학회논문집A
    • /
    • 제25권4호
    • /
    • pp.734-740
    • /
    • 2001
  • In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dysons formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.

일정 압력에 의한 3차원 평면균열에서의 응력확대계수 계산 (Calculation of Stress Intensity Factor in Arbitrarily Shaped Plane Crack under Uniform Pressure Loading)

  • 안득만
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2000년도 추계학술대회논문집A
    • /
    • pp.117-122
    • /
    • 2000
  • In this paper the stress intensity factor under uniform pressure in the arbitrarily-shaped plane crack configuration transformed elliptic crack by Mobius mapping are determined. Using Dyson's formula Boussinesq-Papkovich potentials for mode I deformation are constructed. In the example the stress intensity factors are approximately calculated by least square method.

  • PDF

Strain-rate effects on interaction between Mode I matrix crack and inclined elliptic inclusion under dynamic loadings

  • Li, Ying;Qiu, Wan-Chao;Ou, Zhuo-Cheng;Duan, Zhuo-Ping;Huang, Feng-Lei
    • Structural Engineering and Mechanics
    • /
    • 제44권6호
    • /
    • pp.801-814
    • /
    • 2012
  • The strain rate effects on the interaction between a Mode I matrix crack and an inclined elliptic matrix-inclusion interface under dynamic tensile loadings were investigated numerically, and the results are in agreement with previous experimental data. It is found, for a given material system, that there are the first and the second critical strain rates, by which three kinds of the subsequent crack growth patterns can be classified in turn with the increasing strain rate, namely, the crack deflection, the double crack mode and the perpendicular crack penetration. Moreover, such a crack deflection/penetration behavior is found to be dependent on the relative interfacial strength, the inclined angle and the inclusion size. In addition, it is shown that the so-called strain rate effect on the dynamic strength of granule composites can be induced directly from the structural dynamic response of materials, not be entirely an intrinsic material property.

선형분수사상을 이용한 3차원 균열해석 (Three-dimensional crack analysis by fractional linear mapping)

  • 안득만
    • 대한기계학회논문집
    • /
    • 제19권1호
    • /
    • pp.61-78
    • /
    • 1995
  • In this study the method of analysis for three-dimensional plane crack problem by fractional linear mapping is given. Using this method we can obtain the exact solutions of significantly different configurations of the crack. In the example image crack configurations by mapping of elliptic crack are illustrated. And the stress intensity factors along the image crack tips are calculated.

안정피로성장 중인 표면균열 형상변화의 해석 (Analysis of Shape Change of a Surface Crack during Stable Fatigue Growth)

  • 주석재
    • 대한기계학회논문집A
    • /
    • 제20권9호
    • /
    • pp.2843-2853
    • /
    • 1996
  • The multi-point procedure is developed to predict the shape change of a semi-elliptical surface crack during stable fatigue crack growth. 3-D stress intensity factors along a crack front are calculated using the simplified 3-D J-intergral. Crack growth rate coefficient in the Paris law is assumed to be constant along the crack growth. Crack growth rate is set to be the distance between the two parallel tangent lines on the two semi-elliptic crack fronts before and after crack growth.

Dynamic Response of an Anti-plane Shear Crack in a Functionally Graded Piezoelectric Strip

  • Kwon, Soon-Man;Lee, Kang-Yong
    • Journal of Mechanical Science and Technology
    • /
    • 제18권3호
    • /
    • pp.419-431
    • /
    • 2004
  • The dynamic response of a cracked functionally graded piezoelectric material (FGPM) under transient anti-plane shear mechanical and in-plane electrical loads is investigated in the present paper. It is assumed that the electroelastic material properties of the FGPM vary smoothly in the form of an exponential function along the thickness of the strip. The analysis is conducted on the basis of the unified (or natural) crack boundary condition which is related to the ellipsoidal crack parameters. By using the Laplace and Fourier transforms, the problem is reduced to the solutions of Fredholm integral equations of the second kind. Numerical results for the stress intensity factor and crack sliding displacement are presented to show the influences of the elliptic crack parameters, the electric field, FGPM gradation, crack length, and electromechanical coupling coefficient.

The Fatigue Behavior and Delamination Properties in Fiber Reinforced Aramid Laminates -Case (I) : AFRP/Al Laminates-

  • Song, Sam-Hong;Kim, Cheol-Woong
    • Journal of Mechanical Science and Technology
    • /
    • 제17권3호
    • /
    • pp.343-349
    • /
    • 2003
  • The fuselage-wing intersection suffers from the cyclic bending moment of variable amplitude. Therefore, the influence of cyclic bending moment on the delamination and the fatigue crack propagation behavior in AFRP/Al laminate of fuselage-wing was investigated in this study. The cyclic bending moment fatigue test in AFRP/Al laminate was performed with five levels of bending moment. The shape and size of the delamination Lone formed along the fatigue crack between aluminum sheet and aramid fiber-adhesive layer were measured by an ultrasonic C-scan. The relationships between da/dN and ΔK, between the cyclic bending moment and the delamination zone size, and between the fiber bridging behavior and the delamination zone were studied. As results, fiber failures were not observed in the delamination zone in this study, the fiber bridging modification factor increases and the fatigue crack growth rate decrease and the shape of delamination zone is semi-elliptic with the contour decreasing non-linearly toward the crack tip.

압력용기 소재에서의 표면균열의 형상변화 (Variation of Surface Crack Shape in Pressure Vessel Materials)

  • 허용학;이주진;이해무
    • 대한기계학회논문집
    • /
    • 제14권3호
    • /
    • pp.617-623
    • /
    • 1990
  • 본 연구에서는 표면방향과 깊이 방향으로 표면균열의 피로성장률이 다르게 나 타나고 있는 경우의 표면균열 형상변화를 표면균열의 균열 열림을 고려하여 해석할 수 있는 식이 수정 제안되었으며, 압력용기 소재에서 측정된 표면균열의 형상변화와 본 연구에서 제안된 형상 변화식에 의한 예측과 비교 분석하였다. 또한 균열 성장과 형 상변화를 평균 응력강도계수에 대해 분석하였고 다른 표면균열 형상 변화식들에 의한 표면균열 형상변화해석이 같이 비교 검토되었다.

영역피해모델에 의한 균열 및 노치의 피로강도평가 (Inherent Damage Zone Model for fatigue Strength Evaluation of Cracks and Notches)

  • 김원범;백점기;승본유기부
    • 대한조선학회논문집
    • /
    • 제43권4호
    • /
    • pp.494-503
    • /
    • 2006
  • Inherent damage zone model is presented to explain the fatigue properties near the fatigue limit and the crack growth threshold consistently Inherent damage zone model assumes that the stress at a point which is located at a small distance, $r_0$, an inherent length of the material that represents the size of effective damage zone, from the crack initiation position governs the fatigue characteristics regardless of the geometric configuration of the specimen; smooth specimen, notched specimen or cracked specimens with short and long crack length. A special feature of the paper is using the exact stress distributions of notched and cracked specimens at the strength evaluations. Analytical elastic solutions by Neuber and Westergaard are employed for this purpose Relationship between fatigue limit of smooth specimen and threshold stress of cracked specimen, occurrence condition of non-propagating crack at the root of elliptic notch and circular hole and relationship between stress concentration factor and fatigue notch factor are discussed quantitatively based on the proposed model.