• 제목/요약/키워드: Maximum Tangential Stress Range

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프레팅 피로 균열의 발생 위치 및 방향 예측 (Prediction of Initiation Location and Direction of Fretting Fatigue Crack)

  • 허용학
    • 대한기계학회논문집A
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    • 제27권7호
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    • pp.1185-1192
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    • 2003
  • Governing parameters for determination of the location of crack initiation and direction of crack initiation were investigated by performing fretting fatigue tests and analysis on Al 2024-T351. Fatigue tests were carried out using biaxial fatigue machine. It was shown that the dominant fatigue crack tended to initiate at the outer edge of one of the four bridge pads, growing at an angle beneath a pad, before turning perpendicular to the orientation of the axial load. Distribution of stresses generated during fretting fatigue loading along the interface was calculated by elastic FE simulation. It can be known that the location of crack initiation can be predicted by using the maximum tangential stress range. Futhermore, the crack initiation direction can also be predicted by a maximum tangential stress range.

이축성과 위상차의 영향을 고려한 이축 하중하에서 구멍 주위에서의 피로 균열 발생 방향 예측 (Prediction of Fatigue Crack Initiation Direction around a Hole under Biaxial Loads Considering Phase Difference and Biaxiality)

  • 허용학;박휘립;김동진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2004년도 춘계학술대회
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    • pp.156-161
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    • 2004
  • To predict the direction of the fatigue crack initiated from a hole under various types of biaxial fatigue loads with different phase difference and biaxiality, fatigue parameters were investigated. Axial and torsional biaxial fatigue loads were selected with the respective combination of five different phase differences of 0, 45, 90, 145 and 180 degrees and five biaxialities of 0, $1/{\sqrt{3}}$, 1, ${\sqrt{3}}$, ${\infty}$. Directions of the fatigue crack initiation around the hole were found to approach to the circumferential direction of the specimen with increment of the phase difference for fatigue tests with phase differences less than $90^{\circ}$. Whereas directions for tests with phase differences greater than $90^{\circ}$ went away from the circumferential direction and those were symmetric to the directions for tests with phase difference less than $90^{\circ}$. With increase of biaxilities, the fatigue crack initiated more apart from the circumferential direction of the specimen. These crack initiation direction were predicted using maximum tangential stress range and maximum shear stress range obtained at far-field and around the hole. Comparing these two stress parameters, The crack initiation direction can be successfully explained by using the direction of the maximum tangential stress range obtained around the hole and at far-field.

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Fatigue Crack Propagation Behavior in STS304 Under Mixed-Mode Loading

  • Lee, Jeong-Moo;Song, Sam-Hong
    • Journal of Mechanical Science and Technology
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    • 제17권6호
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    • pp.796-804
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    • 2003
  • The use of fracture mechanics has traditionally concentrated on crack growth under an opening mechanism. However, many service failures occur from cracks subjected to mixed-mode loading. Hence, it is necessary to evaluate the fatigue behavior under mixed-mode loading. Under mixed-mode loading, not only the fatigue crack propagation rate is of importance, but also the crack propagation direction. In modified range 0.3$\leq$a/W$\leq$0.5, the stress intensity factors (SIFs) of mode I and mode II for the compact tension shear (CTS) specimen were calculated by using elastic finite element analysis. The propagation behavior of the fatigue cracks of cold rolled stainless steels (STS304) under mixed-mode conditions was evaluated by using K$\_$I/ and $_{4}$ (SIFs of mode I and mode II). The maximum tangential stress (MTS) criterion and stress intensity factor were applied to predict the crack propagation direction and the propagation behavior of fatigue cracks.

이상 이축 하중 하에서 구멍 주위에서의 피로 균열 발생 (Fatigue Crack Initiation around a Hole under Out-of-phase Biaxial Loading)

  • 허용학;박휘립;김동진
    • 대한기계학회논문집A
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    • 제27권10호
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    • pp.1695-1702
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    • 2003
  • Fatigue crack initiation around a hole subjected to biaxial fatigue loads with a phase difference was investigated. Axial and torsional biaxial fatigue loads with different phase differences and biaxiality of 1/√3 were applied to thin-walled tubular specimens. Five phase differences of 0, 45, 90, 145 and 180 degrees were selected. Directions of the fatigue crack initiation around the hole were found to approach to the circumferential direction of the specimen with increment of the phase difference for fatigue tests with phase differences less than 90$^{\circ}$. Whereas directions for tests with phase differences greater than 90$^{\circ}$ got away from the circumferential direction and those were symmetric to the directions for tests with phase difference less than 90. . Furthermore, it was shown that the fatigue initiation life decreased with increment of phase difference for fatigue tests with phase differences less than 90$^{\circ}$, but it increased for tests with phase difference greater than 90$^{\circ}$. The crack initiation direction can be successfully explained by using the direction of the maximum tangential stress range obtained around the hole and at far-field.

프레팅 피로에서 2단계 균열성장과 분지 유한요소해석 (Finite Element Analysis of Stage II Crack Growth and Branching in Fretting Fatigue)

  • 정현수;조성산
    • 대한기계학회논문집A
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    • 제39권11호
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    • pp.1137-1143
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    • 2015
  • 프레팅 피로균열의 2단계 성장과 분지, 즉 균열이 경사방향으로 성장하다가 방향을 전환하여 수직방향으로 성장하는 과정을 유한요소법으로 해석하였다. 해석에서 A7075-T6의 프레팅 피로실험자료를 이용하였다. 균열성장방향을 결정하는 기준으로 최대 접선응력확대계수, 최대 접선응력확대계수범위, 최대 균열성장속도의 적용 가능성을 검토하였다. 하나의 기준으로는 분지 전후의 균열성장방향을 모사할 수 없고, 분지 전후에 다른 기준을 적용하면 모사가 가능하였다. 또한 분지가 발생하는 균열 길이를 결정하는 방법도 제시하였다.

이축 정적 하중이 부가된 반복 인장 혹은 비틀림 하중하에서 균열 발생과 성장 거동 (Behavior of Fatigue Crack Initiation and Propagation under Cyclic Tensile or Torsional Loading with Superimposed Static Biaxial Load)

  • 허용학;박휘립;권일범;김진영
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1446-1455
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    • 2000
  • Fatigue crack initiation and propagation behavior under cyclic biaxial loading has been investigated using thin-walled tubular specimen with a hole. Two types of biaxial loading system, i.e. cyclic tensile loading with super-imposed static torsional load and cyclic torsional loading with superimposed static tensile load, with various values of the biaxial loading ratio, $\tau$ s/ $\sigma$ max (or $\tau$ max/ $\sigma$s) were employed. Fatigue tests show that fatigue crack near the hole initiates and propagates at 900 and 450 direction to the longitudinal direction of the specimen under cyclic tensile and torsion loading with static biaxial stress, respectively, and the static biaxial stress doesn't have any great influence on fatigue crack initiation and growth direction. Stress analysis near the hole of the specimen shows that the crack around the hole initiates along the plane of maximum tangential stress range. Fatigue crack growth rates were evaluated as functions of equivalent stress intensity factor range, strain energy density factor range and crack tip opening displacement vector, respectively. It is shown that the biaxial mode fatigue crack growth rates can be relatively consistently predicted with these cyclic parameters.

Quantitative assessment of depth and extent of notch brittle failure in deep tunneling using inferential statistical analysis

  • Lee, Kang-Hyun;Lee, In-Mo;Shin, Young-Jin
    • Geomechanics and Engineering
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    • 제21권2호
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    • pp.201-206
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    • 2020
  • A stress-induced brittle failure in deep tunneling generates spalling and slabbing, eventually causing a v-shaped notch formation. An empirical relationship for the depth of the notch to the maximum tangential stress assuming an equivalent circular cross-section was proposed (Martin et al. 1999). While this empirical approach has been well recognized in the industry and used as a design guideline in many projects, its applicability to a non-circular opening is worth revisiting due to the use of equivalent circular profile. Moreover, even though the extent of the notch also contributes to notch failure, it has not been estimated to date. When the estimate of both the depth and the extent of notch are combined, a practical and economically justifiable support design can be achieved. In this study, a new methodology to assess the depth as well as the extent of notch failure is developed. Field data and numerical simulations using the Cohesion Weakening Frictional Strengthening (CWFS) model were collected and correlated with the three most commonly accepted failure criteria (σ13, Dismaxc, σdevcm). For the numerical analyses, the D-shaped tunnel was used since most civil tunnels are built to this profile. Inferential statistical analysis is applied to predict the failure range with a 95% confidence level. Considering its accuracy and simplicity, the new correlation can be used as an enhanced version of failure assessment.