• 제목/요약/키워드: Crack Velocity

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동적모드 I 등변위상태하에서 전파하는 등방성체의 균열해석 (Analysis of Propagating Crack In Isotropic Material under Dynamic Mode I Constant Displacement)

  • 이광호
    • 대한기계학회논문집A
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    • 제24권8호
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    • pp.2007-2014
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    • 2000
  • It has been reported that the dynamic stress intensity factor for a propagating crack is increasing or decreasing according to the increasement of the crack propagating velocity. It is confirmed in this study that the increasement or decreasement of stress intensity factor with crack growing velocity is accused by loading condition. When the crack propagates under a constant displacement along upper and lower boundary in finite plate, the dynamic stress intensity factor decreases according to the increasement of the propagating crack velocity. When the crack propagates under a constant stress along upper and lower boundary in finite plate, the dynamic stress intensity factor increases according to the increasement of the propagating crack velocity. The increasement or decreasement of stress intensity factor with crack growing velocity is greater in a fast crack propagation velocity than in a slow one.

길이방향의 전단응력을 받은 직교이방성 원판에 내재된 외부균열의 등속전파 응력확대계수 $K_{III}$ (Dynamic Stress Intensity Factor $K_{III}$ of Crack Propagating with Constant Velocity in Orthotropic Disk Plate Subjected to Longitudinal Shear Stress)

  • 최상인
    • 한국자동차공학회논문집
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    • 제4권2호
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    • pp.69-79
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    • 1996
  • Dynamic stress intensity factors are derives when the crack is propagating with constant velocity under longitudinal shear stress in orthotropic disk plate. General stress fields of crack tip propagating with constant velocity and least square method are used to obtain the dynamic stress intensity factor. The dynamic stress intensity factors of GLV/GTV=1(=isotropic material or transversely isotropic material) which is obtained in out study nearly coincides with Chiang's results when mode Ⅲ stress is applied to boundary of isotropic disk. The D.S.I.F. of mode Ⅲ stress is greater when α(=angle of crack propagation direction with fiber direction) is 90° than that when α is 0°. In case of a/D(a:crack length, D:disk diameter)<0. 58, the faster crack propagation velocity, the less D.S.I.F. but when crack propagation velocity arrive on ghear stress wave velocity, the D.S.I.F. but when crack propagation velocity arrive on shear stress wave velocity, the D.S.I.F. unexpectedly increases and decreases to zero.

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두 이방성 띠판에 내재된 면외변형하의 등속평행 균열 (Parallel Crack with Constant Velocity in Two Bonded Anisotropic Strip Under Anti-Plane Deformation)

  • 박재완;김남훈;최성렬
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.496-505
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    • 2000
  • A semi-infinite parallel crack propagated with constant velocity in two bonded anisotropic strip under anti-plane clamped displacement is analyzed. Using Fourier integral transform a Wiener-Hopf equation is derived. By solving this equation the asymptotic stress and displacement fields near the crack tip are determined, where the results give the more general expression applicable to the extent of the anisotropic material having one plane of elastic symmetry for the parallel crack. The dynamic stress intensity factor and energy release rate are also obtained as a closed form, which are the results applicable to the problem both of dynamic and static crack under the same geometry as this study. The stress intensity factor approaches zero at the critical crack velocity which is less than the shear wave velocity, but in typical case of isotropic or orthotropic material agrees with the velocity of shear wave. Also a circular shear stress around crack tip is considered, from which the stress is shown to be approximately symmetric about the horizontal axis. Referring to the maximum stress criteria, it could be shown that a brenched crack is formed by crack growth as crack velocity increases.

입자충격에 의한 유리의 손상기구에 관한 실험적 연구 (An Experimental Study on Damage Mechanism of Glass Resulting Frojm Particle Impact)

  • 서창민;신형섭;황병원
    • 대한기계학회논문집A
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    • 제20권6호
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    • pp.1903-1912
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    • 1996
  • A quantitative study of impact damage of a soda-lime glass was carried out. An initiation and a propagation of cracks by the impact of two inds of steel ball was investigated. The fron, side and rear view of cracks were observed by a stereo-microscope. And the lowering of the benidng strength due to the impact of steel balls was examined through the 4-point bending test. A transparent glass is very helpful to understand and analyze the impact damage behavior of another brittle matereial. A deagdram about crack patterns according to the threshold impact velocity was sketched. A ring crack and a cone crack were formed at the low impact velocity. And as the impact velocity was higher, initial lateral crack was generated on the slanting surface of cone crack, and radial cracks were generated from the outermost ring crack. When the impact velocity of steel balls exceed a critical velocity, the contact site of specimens were crushed. According to the propagation of a cone crack, a rapid strength degradation occurred. In the specimen having crushed region, a bending strength was converged to a constant value instead of strength degradation.

크랙을 가진 유체유동 회전 외팔 파이프의 안정성 해석 (Stability of Rotating Cantilever Pipe Conveying Fluid with Crack)

  • 김동진;윤한익;손인수
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2007년도 추계학술대회논문집
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    • pp.356-359
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    • 2007
  • In this paper, the stability of a rotating cantilever pipe conveying fluid with a crack is investigated by the numerical method. That is, the influences of the rotating angular velocity, mass ratio and crack severity on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating pipe are derived using the Euler beam theory and the Lagrange's equation. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. Generally, the critical flow velocity for flutter is proportional to the angular velocity and the depth of crack. Also, the critical flow velocity and stability maps of the rotating pipe system as a function of mass ratio for the changing each parameter are obtained.

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동적 균열의 간섭 (Interference between two dynamic cracks)

  • 이억섭;최인성
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1996년도 춘계학술대회 논문집
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    • pp.714-718
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    • 1996
  • The interference phenomenonof a dynamic crack propagation in a inclined DEN(double edge notched) specimen has been investigated by using the dynamic photoelasticity. One crack initiated by static loading is propagated dynamically and experiences a mixed mode condition(interference) as the crack approaches to the inclined edge notch. We use the overdeterministic least-square method to extract dynamic $K_{Id}$ K sub IId/and .sigma. $_{ox}$from the recorded dynamic photoelastic pattern surounding a running crack. The evaluated $K_{Id}$ $K_{IId}$and .sigma. $_{ox}$together with the crack propagation velocity estimate the dynamic crack interference phenomenonenonon

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이방성비가 큰 직교이방성체의 반 무한 균열에 대한 동적 응력확대계수에 관한 연구 (Dynamic Stress Intensity Factors of the Half Infinite Crack in the Orthotropic Material Strip with a Large Anisotropic Ratio)

  • 백운철;황재석
    • 대한기계학회논문집A
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    • 제24권6호
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    • pp.1557-1564
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    • 2000
  • When the half infinite crack in the orthotropic material strip with a large anisotropic ratio(E11>>E22) propagates with constant velocity, dynamic stress component $\sigma$y occurre d along the $\chi$ axis is derived by using the Fourier transformation and Wiener-Hopf technique, and the dynamic stress intensity factor is derived. The dynamic stress intensity factor depends on a crack velocity, mechanical properties and specimen hight. The normalized dynamic stress intensity factors approach the maximum values when normalized time(=Cs/a) is about 2. They have the constant values when the normalized time is greater than or equal to about 2, and decrease with increasing a/h(h: specimen hight, a: crack length) and the normalized crack propagation velocity( = c/Cs, Cs: shear wave velocity, c: crack propagation velocity).

콘크리트 CLWL-DCB 시험편의 저항곡선 (Resistance Curves of Concrete CLWL-DCB Specimens)

  • 연정흠
    • 콘크리트학회논문집
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    • 제14권3호
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    • pp.357-364
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    • 2002
  • CLWL-DCB 시험편에 대한 변위제어 파괴실험으로 381mm의 균열성장에 대한 저항곡선이 유도되었다. 변형률 게이지를 사용하여 측정된 평균 균열성장속도는 0.70 mm/sec와 55mm/sec이었다. 초기균열에서 측정된 회전각도는 0.70 mm/sec와 55mm/sec의 균열속도에 대해 각각 최소한 171mm와 93mm의 균열성장 이전에 특이성이 존재하는 것을 보여주었다. 저항곡선의 최대 기울기는 0.70mm/sec 균열속도에 대해 25.4mm와 88.9mm 그리고 55mm/sec 균열속도에 대해 50.8 mm와 127mm의 균열성장길이 사이에서 발생되며, 미소균열 국부화에 의한 것으로 판단된다. 빠른 균열속도에서 미소균열성장 구역은 보다 길게 형성되며, 미소균열의 국부화 동안에도 큰 균열성장을 보였다. 0.70mm/sec 균열속도의 파괴저항은 152.4mm의 균열성장 이후에 평균 파괴에너지율의 약 70%인 143N/m의 비교적 일정한 값을 유지하였다. 55mm/sec 균열속도는 254mm 균열성장에서 최대 파괴저항 245N/m까지 증가한 후 파괴저항의 감소되어 불안정 균열성장이 발생될 수 있음을 보여준다. 55mm/sec 균열속도의 저항곡선은 TPB 실험과 유사하여, 시험편의 크기가 작거나 균열의 속도가 빠른 경우에 취성거동을 할 수 있는 것을 보여준다.

등방성체와 직교이방성체의 접합계면네 내재된 동적모드 III 균열의 등속전파 (Dynamic Mode III Crack Propagated with Constant Velocity at Interface Between Isotropic and Orthotropic Material)

  • 이광호;황재석;유재용
    • 대한기계학회논문집A
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    • 제20권12호
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    • pp.3828-3837
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    • 1996
  • The dynamic problems of interface crack propagated with constant velocity along the interface of bimateraial composed of isotropic and orthotropicmaterial under antiplane loading condition are studied in this paper. The general dynamic stress fields and displacement fields of mode III are derived when interface crack between isotropic and orthotropic material is propagating with constant velocity. The general dynamic stress fields and displacement fields in isotropic material. Finally, the characteristics of interface crack propagation are studied with various properties of isotropic and orthotropic material and crack propagarion velocities.

크랙을 가진 유체유동 회전 외팔 파이프의 안정성 해석 (Stability Analysis of Rotating Cantilever Pipe Conveying Fluid with Crack)

  • 손인수;윤한익;김동진
    • 한국소음진동공학회논문집
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    • 제17권12호
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    • pp.1161-1169
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    • 2007
  • In this paper, the dynamic stability of a rotating cantilever pipe conveying fluid with a crack is investigated by the numerical method. That is, the influence of the rotating angular velocity, mass ratio and crack severity on the critical flow velocity for flutter instability of system are studied. The equations of motion of rotating cantilever pipe are derived by using extended Hamilton's principle. The crack section of pipe is represented by a local flexibility matrix connecting two undamaged pipe segments. The crack is assumed to be in the first mode of fracture and always opened during the vibrations. Generally, the critical flow velocity for flutter is proportional to the rotating angular velocity of a pipe. Also, the critical flow velocity and stability maps of the rotating pipe system for the variation each parameter are obtained.