• 제목/요약/키워드: Vertical Crack

검색결과 230건 처리시간 0.02초

Analytical solutions for crack initiation on floor-strata interface during mining

  • Zhao, Chongbin
    • Geomechanics and Engineering
    • /
    • 제8권2호
    • /
    • pp.237-255
    • /
    • 2015
  • From the related engineering principles, analytical solutions for horizontal crack initiation and propagation on a coal panel floor-underlying strata interface due to coal panel excavation are derived in this paper. Two important concepts, namely the critical panel width of horizontal crack initiation on the panel floor-underlying strata interface and the critical panel width of vertical fracture (crack) initiation in the panel floor, have been presented. The resulting analytical solution indicates that: (1) the first criterion can be used to express the condition under which horizontal plane cracks (on the panel floor-underlying strata interface or in the panel floor because of delamination) due to the mining induced vertical stress will initiate and propagate; (2) the second criterion can be used to express the condition under which vertical plane cracks (in the panel floor) due to the mining induced horizontal stress will initiate and propagate; (3) this orthogonal set of horizontal and vertical plane cracks, once formed, will provide the necessary weak network for the flow of gas to inrush into the panel. Two characteristic equations are given to quantitatively estimate both the critical panel width of vertical fracture initiation in the panel floor and the critical panel width of horizontal crack initiation on the interface between the panel floor and its underlying strata. The significance of this study is to provide not only some theoretical bases for understanding the fundamental mechanism of a longwall floor gas inrush problem but also a benchmark solution for verifying any numerical methods that are used to deal with this kind of gas inrush problem.

Theoretical Consideration of Nondestructive Testing by use of Vertical Magnetization and Magneto-Optical Sensor

  • Lee, Jinyi;Tetsuo Shoji;Dowon Seo
    • Journal of Mechanical Science and Technology
    • /
    • 제18권4호
    • /
    • pp.640-648
    • /
    • 2004
  • This paper describes a new magnetization method for non-destructive testing with magneto-optical sensor (denoted as MO sensor) which have the following characteristic : high observation sensitivity, independence of the crack orientation, and precise imaging of a complex crack geometry such as multiple cracks. When a magnetic field is applied normally to the surface of a specimen which is significantly larger than its defects, approximately the same magnetic charge per unit area occurs on the surface of the specimen. If there is a crack in the specimen, magnetic charge per unit area has the same value at the bottom of the crack. The distribution of the vertical component of the magnetic flux density, B$\_$Z/, is almost uniform over the no-crack area (denoted as B$\_$Z,BASE/), while the magnetic flux density is smaller in the surroundings of the crack(denoted as B$\_$Z,CRACK/) If B$\_$Z, BASE/ is a bit larger than the saturated magnetic flux density of the MO sensor (B$\_$s/) , then small magnetic domains occur over the crack area and a large domain over the non-crack area because B$\_$Z,CRACK/ is smaller than B$\_$s/.

콘크리트댐 지진응답에서의 수직 지반운동의 영향 (Effect of Vertical Ground Motion on Earthquake Response of Concrete Dams)

  • 이지호
    • 한국지진공학회:학술대회논문집
    • /
    • 한국지진공학회 2001년도 춘계학술대회 논문집
    • /
    • pp.190-195
    • /
    • 2001
  • In the present paper computational simulation of a concrete dam is performed to determine the effect of vertical ground motions on earthquake response of concrete dams. Cyclic and dynamic versions of the plastic-damage model proposed by Lee and Fenves are used to represent micro-crack development and crack opening/closing, which is important mechanism in nonlinear damage analysis of concrete structures subject to strong earthquake loading. The result shows that the vertical component of ground motion effects on final crack patterns and consequently, on displacement response.

  • PDF

초음파 도달시간에 의한 콘크리트에서의 수직 균열의 깊이 측정에 관한 연구 (Determination of the Vertical Crack Depth in Concrete by the Ultrasonic Time of Flight)

  • 김영환;이세경;김호철
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 1990년도 봄 학술발표회 논문집
    • /
    • pp.35-38
    • /
    • 1990
  • Depths of the vertical cracks in the concrete were determined by the time of flight of the ultrasonic waves. The ultrasonic waves are diffracted at the crack tip, and the arrival time of ultrasonic waves are dependent on the crack depth and speration distance between transmitting and receiving ultrasonic transducers. The vertical cracks with 0.2-2mm width and 10-100mm depth were examined by multi-layered ultrasonic transducers. It was found that the time of flight of ultrasonic waves were proportional to the depth of vertical cracks. The depth of vertical cracks in the range of 20-100mm depth could be determined by the transient time of the diffracted ultrasonic waves

  • PDF

경계요소법을 이용한 수직열유동을 받는 접합경계면 커스프균열의 열응력세기계수 결정 (Boundary Element Analysis of Thermal Stress Intensity Factor for Interface Crack under Vertical Uniform Heat Flow)

  • 이강용;백운천
    • 대한기계학회논문집
    • /
    • 제17권7호
    • /
    • pp.1794-1804
    • /
    • 1993
  • The thermal stress intensity factors for interface cracks of Griffith and symmetric lip cusp types under vertical uniform heat flow in a finite body are calculated by boundary element method. The boundary conditions on the crack surfaces are insulated or fixed to constant temperature. The relationship between the stress intensity factors and the displacements on the nodal point of a crack tip element is derived. The numerical values of the thermal stress intensity factors for interface Griffith crack in an infinite body and for symmetric lip cusp crack in a finite and homogeneous body are compared with the previous solutions. The thermal stress intensity factors for symmetric lip cusp interface crack in a finite body are calculated with respect to various effective crack lengths, configuration parameters, material property ratios and the thermal boundary conditions on the crack surfaces. Under the same outer boundary conditions, there are no appreciable differences in the distribution of thermal stress intensity factors with respect to each material properties. But the effect of crack surface thermal boundary conditions on the thermal stress intensity factors is considerable.

수직 균일 열유동하에 있는 접합 경계면 균열의 열응력세기계수 결정 (Determination of Thermal Dtress Intensity Factors for the Interface Crack under Vertical Uniform Heat Flow)

  • 이강용;설창원
    • 대한기계학회논문집
    • /
    • 제15권1호
    • /
    • pp.201-208
    • /
    • 1991
  • 본 연구에서는 균일 열유동이 접합면에 수직으로 흐르고 접합 경계면 균열의 열경계조건이 단열되어 있는 경우에 균질 및 접합재료 모두에 적용될 수 있는 열응세 기계수를 복소해석방법을 이용하여 구하고자 한다.

Crack behaviour of top layer in layered rocks

  • Chang, Xu;Ma, Wenya;Li, Zhenhua;Wang, Hui
    • Geomechanics and Engineering
    • /
    • 제16권1호
    • /
    • pp.49-58
    • /
    • 2018
  • Open-mode cracks could be commonly observed in layered rocks. A concept model is firstly used to explore the mechanism of the vertical cracks (VCs) in the top layer. Then the crack behaviour of the two-layer model is simulated based on a cohesive zone model (CZM) for layer interfaces and a plastic-damage model for rocks. The model indicates that the tensile stress normal to the VCs changes to compression if the crack spacing to layer thickness ratio is lower than a threshold. The results indicate that there is a threshold for interfacial shear strength that controls the crack patterns of the layered system. If the shear strength is lower than the threshold, the top layer is meshed by the VCs and interfacial cracks (ICs). When the shear strength is higher than the threshold, the top layer is meshed by the VCs and parallel cracks (PCs). If the shear strength is comparative to the threshold, a combining pattern of VCs, PCs and ICs for the top layer can be formed. The evolutions of stress distribution in the crack-bound block indicate that the ICs and PCs can reduce the load transferred for the substrate layer, and thus leads to a crack saturation state.

Influence of undercut and surface crack on the stability of a vertical escarpment

  • Banerjee, Sounik K.;Chakraborty, Debarghya
    • Geomechanics and Engineering
    • /
    • 제12권6호
    • /
    • pp.965-981
    • /
    • 2017
  • Stability of vertical escarpments has been the subject of discussion for long time. However, available literature provides scarce knowledge about the effect of the formation of undercut and surface cracks on the stability of a vertical escarpment. The present study deals with a systematic analysis of the effect of surface cracks and undercut on slope stability using finite element based lower bound limit analysis. In the present analysis, the non-dimensional stability factor (${\gamma}H/c$) is used to inspect the degrading effect of undercut and cracks developed at different offset distances from the edge of the vertical escarpment. Failure patterns are also studied in detail to understand the extent and the type of failure zone which may generate during the state of collapse.

Analytical solution of seismic stability against overturning for a rock slope with water-filled tension crack

  • Zhang, Yanjun;Nian, Tingkai;Zheng, Defeng;Zheng, Lu
    • Geomechanics and Engineering
    • /
    • 제11권4호
    • /
    • pp.457-469
    • /
    • 2016
  • Steep rock slope with water-filled tension crack will happen to overturn around the toe of the slope under seismic loading. This failure type is completely different from the common toppling failure occurring in anti-dipping layered rock mass slopes with steeply dipping discontinuities. This paper presents an analytical approach to determine the seismic factor of safety against overturning for an intact rock mass slope with water-filled tension crack considering horizontal and vertical seismic coefficients. This solution is a generalized explicit expression and is derived using the moment equilibrium approach. A numerical program based on discontinuous deformation analysis (DDA) is adopted to validate the analytical results. The parametric study is carried out to adequately investigate the effect of horizontal and vertical seismic coefficients on the overall stability against overturning for a saturated rock slope under two water pressure modes. The analytical results show that vertically upward seismic inertia force or/and second water pressure distribution mode will remarkably decrease the slope stability against overturning. Finally, several representative design charts of slopes also are presented for the practical application.

임상가를 위한 특집 3 - 치료 중 혹은 치료 후에 발생하는 치아의 파절 (Tooth fracture during or after dental treatment)

  • 노병덕
    • 대한치과의사협회지
    • /
    • 제52권2호
    • /
    • pp.75-84
    • /
    • 2014
  • During dental treatment, if a tooth were fractured suddenly by unnoticed tooth crack or vertical root fracture, it would be very embarrassing and frustrating experiences to dentists. But if it were once diagnosed as one of these teeth fracture, dentist should know about the etiology, course of fracture development, treatment modality to avoid argument with patient. In here cases and diagnostic skills, etiology and treatement methods of tooth fracture originated by internal stress and masticatory force were discussed to help dentists.