• 제목/요약/키워드: Stress Intensity factor($K_I$)

검색결과 155건 처리시간 0.024초

철도 차륜의 구름접촉 피로 균열에 관한 유한요소해석 (FEM Analysis on Rolling Contact Fatigue Crack of a Railway Wheel)

  • 김호경;양경탁;김현준
    • 한국안전학회지
    • /
    • 제22권2호
    • /
    • pp.8-14
    • /
    • 2007
  • In this study, tensile and fatigue crack propagation tests machined from actual wheels were performed. FEM analysis also was performed on the crack that was assumed to be 15 mm in depth under the wheel tread surface. The stress intensity factors K I and K II at the crack tip under the stress($P_{max}=911.5MPa$) due to a rolling contact were analyzed for crack growth characteristics. As a result, the perpendicular crack was found to be more dangerous compared to the parallel one. It is found that in the wheel fatigue crack, parallel to the wheel tread surface, the crack with its length 2a = 2.4mm starts to propagate due to the fact that the effective stress intensity factor access to the threshold stress intensity factor($K_{th}=16.04MPa{\sqrt{m}}$) of the wheel.

J-적분의 유한요소해석에 관한 연구 (A Study on the Finite Element Analysis of J-Integral)

  • 한문식;김상철
    • Journal of Advanced Marine Engineering and Technology
    • /
    • 제6권1호
    • /
    • pp.41-48
    • /
    • 1982
  • One of the important subjects in fracture mechanics study is to analyze the stress intensity factor. In this paper, the stress intensity factor in Mode I ($K^{I}$) is determined by J-integral using the finite element method. In this investigation, the values of $K^{I}$ are computed for distorted and undistorted elements of 8-noded isoparametric finite elements. The numerical results obtained are summarized as follows. (1) Through a relatively coarse mesh, the $K^{I}$ values obtained by this method are fairly good accuracy. (2) The $K^{I}$ values for the distorted elements appear to be better than those obtained using the undistorted mesh. (3) Within the limits of these analyses, the solutions obtained through the integral paths in the medium region of elements approach to the analytical solution most closely.

  • PDF

균열닫힘현상을 고려한 피로균열전파식 (Fatigue Crack Growth Rate Equation by Crack Closure)

  • 김용수;강동명;신근하
    • 한국안전학회지
    • /
    • 제6권4호
    • /
    • pp.81-87
    • /
    • 1991
  • We propose the crack growth rate equation which will model fatigue crack growth rate behavior such that constant stress amplitude fatigue crack growth behavior can be predicted. Constant stress amplitude fatigue tests are conducted for four materials under three stress ratios of R=0.2, R=0.4 and R=0.6. Materials which have different mechanical properties i.e. stainless steel, low carbon steel, medium carbon steel and aluminum alloy are used. Through constant stress amplitude fatigue test by using unloading elastic compliance method, it is confirmed that crack closure is a close relationship with fatigue crack propagation. We describe simply fatigue crack propagation behavior as a function of the effective stress intensity factor range ($\Delta$ $K_{eff}$=U .$\Delta$K) for all three regions (threshold region, stable region). The fatigue crack growth rate equation is given by da / dN=A($\Delta$ $K_{eff}$­$\Delta$ $K_{o}$ )$^{m}$ / ($\Delta$ $K_{eff}$­$\Delta$K) Where, A and m are material constants, and $\Delta$ $K_{o}$ is stress intensity factor range at low $\Delta$K region. $K_{cf}$ is critical fatigue stress intensity factor.actor.

  • PDF

구름마찰 접촉하중시 Polyethylene Tibia 표면균열의 응력확대계 수와 복합전파거동에 관한 연구 (Stress Intensity Factors and Possible Crack Propagation Mechanisms for a Crack Surface in a Polyethylene Tibia Component Subject to Rolling and Sliding Contact)

  • 김병수;문병영
    • 대한기계학회논문집A
    • /
    • 제27권12호
    • /
    • pp.2019-2027
    • /
    • 2003
  • Pitting wear is a dominant from of polyethylene surface damage in total knee replacements, and may originate from surface cracks that propagate under repeated tribological contact. In this study, stress intensity factors, K$\_$I/and $_{4}$, were calculated for a surface crack in a polyethylene-CoCr-bone system under the rolling and/or sliding contact pressures. Crack length and load location were considered in determination of probable crack propagation mechanisms and fracture modes. Positive K$\_$I/ values were obtained for shorter cracks in rolling contact and for all crack lengths when the sliding load was apart from the crack. $_{4}$ was the greatest when the load was directly adjacent to the crack (g/a=${\pm}$1). Sliding friction caused a substantial increase of both K$\_$I/$\^$max/ and $_{4}$$\^$max/. The effective Mode I stress intensity factors, K$\_$eff/, were the greatest at g/a=${\pm}$1, showing the significance of high shear stresses generated by loads adjacent to surface cracks. Such behavior of K$\_$eff/ suggests mechanisms for surface pitting by which surface cracks may propagate along their original plane under repeated rolling or sliding contact.

보존적분을 이용한 응력강도계수와 T-응력의 계산 (Evaluation of Stress Intensity Factors and T-Stress Using a Conservation Integral)

  • 범현규;엄윤용
    • 대한기계학회논문집
    • /
    • 제18권1호
    • /
    • pp.121-126
    • /
    • 1994
  • A mutual integral, which has the conservation property, is applied to the problem of a crack in an isotropic elastic material. The stress intensity factors $K_{I}, K_{II}, K_{III}$ and T-stress for the problem in an infinite medium are easily obtained by using the mutual integral without solving the boundary value problem. The auxiliary solutions necessary in the proposed method are taken from the known asymptotic solutions. This method is amenable to numerical evaluation of the stress intensity factors and T-stress if the crack in a finite medium is considered.

경계요소법을 이용한 균열선단 원공의 영향 평가 (The Effect evaluation of the hole near a crack tip by Boundary Element Method)

  • 이대영;김성재
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 2000년도 추계학술대회논문집 - 한국공작기계학회
    • /
    • pp.434-439
    • /
    • 2000
  • In this paper, in order to study the geometric factor effect of a circular hole near a crack tip in a semi-infinite plate, the Dimensionless Stress Intensity Factor, $F(=\frac K {\sigma {\sqrt{\pi a}}})$ is analyzed at the crack tip using a two Dimensional Boundary Element Method (BEM) program which is known as superior in Fracture Mechanics. Kelvin's solution was used as a fundamental solution in BEM analysis and displacement extrapolation method was used to determine Stress Intensity Factor.

  • PDF

응력확대계수측정을 위한 하중에 의한 자속밀도변화의 실험적 연구 (Experimental Research of Change in Magnetic Flux Density Due to Load for Measuring KI)

  • 이정희
    • 한국산업융합학회 논문집
    • /
    • 제7권1호
    • /
    • pp.129-132
    • /
    • 2004
  • In order to determine the effective way of measuring the Mode I stress intensity factor, $K_I$, by means of the alternating current potential drop(ACPD) technique for a material containing a two-dimensional surface crack, the change in magnetic flux density above the cracked specimen surface was studied experimentally. The change in magnetic flux in the air above the cracked specimen made of aluminum alloy is measured by changing the load by four-point bending. The magnetic flux in the air is almost not changed by increasing the load in teh specimen. The change in potential drop due to load is not caused by the change in electro-motive force induced in the coiled measuring system. This experimental result agree to the result of theoretical analysis in reference 7).

  • PDF

3차원 균열을 갖는 구조물에 대한 건전성 평가(I) (Integrity Evaluation for 3D Cracked Structures(I))

  • 이준성
    • 한국산학기술학회논문지
    • /
    • 제13권8호
    • /
    • pp.3295-3300
    • /
    • 2012
  • 3차원 유한요소법은 구조물에 존재하는 표면균열과 내재균열들의 응력확대계수를 구하는데 이용되어 진다. 기하모델, 즉 솔리드모델은 3차원 균열들을 포함하고 있다. 국부적인 절점밀도가 선택되어 지면 자동적으로 기하모델 영역에 중첩되어 지며 절점은 버블패깅 방법에 의해 생성되어지고 10절점 사변형 솔리드요소는 데라우니 삼각화 기술에 의해 생성하였다. 시스템의 정확도와 효용성을 체크하기 위해 인장하중을 받는 평판에 하나의 균열이 존재하는 경우의 응력확대계수를 구해 Raju-Newnam식과 비교하여 5%이내의 차이를 보였다. 또한, 인장하중을 받는 평판에 두개 균열이 존재하는 경우의 해석을 통해 상호 간섭 효과를 분석하였다.

투과형 광탄성 실험법에 의한 지능성 FRP의 파괴지연 효과에 관한 연구 (A Study on the Effect of Fracture Delay of Intelligent FRP by Transparent Photoelastic Experimental Method)

  • 이효재;황재석
    • 대한기계학회논문집A
    • /
    • 제23권11호
    • /
    • pp.1904-1911
    • /
    • 1999
  • The most effective material in the shape memory alloy(SMA) is the TiNi alloy, because its shape recovery characteristics are very excellent. We molded the composite material with shape memory function. The fiber of it is $Ti_{50}-Ni_{50}$ shape memory alloy and matrix of it is epoxy resin(Araldite B41, Hardner HT903. Ciba Geigy), its adhesive and optical sensitivity are very excellent. It was assured that the composite material could be used as model material of photoelastic experiment for intelligent materials or structures. In this research, the composite material with shape memory function is used as model material of photoelastic experiment. Photoelastic experimental hybrid method is developed in this research, it is assured that it is useful on the obtaining stress intensity factor and the separation of stress components from only isochromatic data. The measuring method of stress intensity factor of intelligent material by photoelastic experiment is introduced. In the mode I state, we can know that stress intensity factors are decreased more than 50% of stress intensity factor of room temperature when temperature of fiber is greater than 4$0^{\circ}C$, prestrain greater than 5% and fiber volume ratio greater than 0.42% and that stress intensity factors are decreased by 100% when fiber volume ratio is greater than 0.84%, prestrain greater than 5% and temperature greater than 60 $^{\circ}C$.

교류전위차법에 의한 강자성체의 응력확대계수 결정 (Determination of stress intensity factor by means of ACPD technique for ferromagnetic materials)

  • 이정희
    • 대한기계학회논문집A
    • /
    • 제21권9호
    • /
    • pp.1392-1399
    • /
    • 1997
  • In order to determine the Mode I stress intensity factor ($K_1$) experimentally by means of the alternating current potential drop(ACPD) technique, the change in potential drop due to load for a ferromagnetic material containing a two-dimensional surface crack was examined. The cause of the change in potential drop and the effect of the magnetic flux on the change in potential drop were clarified by using the measuring systems with and without removing the magnetic flux from the circumference of the specimen. To remove the magnetic flux, a new measuring system was made by utilizing the characteristic of coaxial transmission line. The change in potential drop in the case without magnetic flux in the air was caused by the change in electromagnetic properties near the crack tip due to magnetization. The relationship between the change in potential drop and the change in $K_I$ was linealized by demagnetization and was found to be independent of the crack length.