• Title/Summary/Keyword: Crack-tip field

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A Study on the Apparent Negative Crack Growth Phenomenon of J-R Curve(I) (J-R곡선에서의 균열길이 감소현상에 관한 연구 (I))

  • 석창성;최용식
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1115-1120
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    • 1992
  • The apparent negative crack growth phenomenon which usually arises in partial unloading compliance test is well known. The reason for apparent negative crack growth is the compressive residual stress caused by the plastic zone around the crack tip. The phenomenon as a possible source of error in determining $J_{JC}$ or J-R curve from partial unloading compliance experiments may be eliminated by the correction of compliance. A compliance correction equation is derived from a stress field analysis near the crack tip.

Lateral Crack in Abrasive Wear of Brittle Solids (취성소재 연삭마멸에서의 측면균열에 관한 연구)

  • 안유민;박상신;최상현
    • Tribology and Lubricants
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    • v.15 no.1
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    • pp.46-51
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    • 1999
  • An analytical model about lateral crack occurring in abrasive wear of brittle solids is developed. Stress field around the lateral crack and stress intensity factor at the crack tip are analytically modeled. Abrasive wear by abrasive particle is experimentally studied. In soda-lime glass, it is observed that chipping by lateral crack occurs and produces the greatest material removal when normal load applied by the abrasive particle is about 1.5∼3.0 N. The prediction of lateral crack length from the model is compared with the experimentally measured length in soda-lime glass.

KI Criteria of Surface Check under Stepwise Loadings of Drying Stresses

  • Park, Jung-Hwan
    • Journal of the Korean Wood Science and Technology
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    • v.27 no.4
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    • pp.51-56
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    • 1999
  • Finite element method was utilized to analyze crack tip stress and displacement field under drying stress case as stepwise loading. Opening mode of single-edge-notched model was employed and analyzed by linear elastic fracture mechanics of plane stress case. The drying stresses were applied as stepwise loads at the boundary elements of the model with 10 steps of time serial. The stress intensity factor($K_I$) for opening mode reached to its maximum just prior to the stress reversal. The $K_I$ from the displacement fields revealed 1.7 times higher than those from stress fields. By comparing the two sets of $K_I$ from displacement and stress fields, single parameter $K_I$ showed its validity to characterize displacement fields around the crack tip front while stress field could not be characterized due to large variations between two sets of data.

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Fatigue Crack Propagation Behavior in CTS Specimen Under Mixed-Mode Loading with Hole Defefects (원공 결함을 갖는 CTS 시험편의 혼합모드 하중 하에서의 피로균열 전파거동)

  • Song, Sam-Hong;Shin, Seung-Man;Lee, Jeong-Moo;Seo, Ki-Jeong
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.137-142
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    • 2003
  • In this study, the propagation behavior of fatigue crack effected hole defects was investigated under mixed-mode I+II loading. To create mixed-mode stress field at crack tip, the compact tension shear (CTS) specimen and loading device were used in this tests. The propagation experiments of fatigue crack were performed by changing of the loading application angle(${\phi}$) and the distance(L) estimated from pre-crack tip to hole center located side by side by side with a pre-crack. As L changes, the variation for propagation aspect of fatigue crack, fatigue life and crack propagation rate were examined under mixed-mode loading. Under mixed-mode loading, the propagation rate of fatigue crack increased while the propagation direction changed dramatically because of the interference of hole defects.

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A Mesh-free Crack Analysis Technique Using Enriched Approximation and Discontinuity Function (확장변위함수와 불연속함수를 적용한 Mesh-free 균열해석기법)

  • 이상호;윤영철
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.335-342
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    • 2001
  • In this paper, an improved Element-Free Galerkin (EFG) method is proposed by adding enrichment function to the standard EFG approximation and a discontinuity function is implemented in constructing the shape function across the crack surface. In this method, the singularity and the discontinuity of the crack are efficiently modeled by using initial node distribution to evaluate reliable stress intensity factor, though the standard EFG method requires placing additional nodes near the crack tip. The proposed method enables the initial node distribution to be kept without any additional nodal d.o.f. and expresses the asymptotic stress field near the crack tip successfully. Numerical example verifies the improvement and the effectiveness of the method.

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The Local Fatigue Strain Distribution Near a Crack Tip by Using Fine Dot Grid Strain Measurement Method (微小圓形格子變形率 測定法을 利용한 龜裂先端의 局所疲勞變形率分布)

  • 박영철;오세욱;김광영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.1
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    • pp.209-217
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    • 1991
  • We have carried out a preliminary study to search for the new fracture mechanics parameter which can effectively estimate the fatigue life. In this study, the distribution of local fatigue strains near a fatigue crack tip was detailedly revealed using by fine dot grid strain measurement method. From these results, a single parameter (.DELTA.A), which characterize local fatigue strain field, was nearly proposed by the authors.

Stress Distribution in the Vicinity of a Crack Tip in a Plate under Tensile Load Using Displacement Data of Finite Element Method (유한요소 변위값을 이용한 인장하중 판재 균열선단 주위의 응력분포 해석)

  • Baek, Tae-Hyun
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.10
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    • pp.84-91
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    • 2008
  • Due to the complexity of the engineering problems, it is difficult to obtain directly the stress field around the crack tip by theoretical derivation. In the paper, the hybrid method is employed to calculate full-field stress around the crack tip in uni-axially leaded finite width tensile plate, using the displacement data of given points calculated by finite element method as input data. The method uses complex variable formulations involving conformal mappings and analytical continuity. In order to accurately compare calculated fringes with experimental ones, both actual and reconstructed photoelastic fringe patterns are two times multiplied and sharpened by digital image processing. Reconstructed fringes by hybrid method are quite comparable to actual fringes. The experimental results indicate that Mode I stress intensity factor analyzed by the hybrid method are accurate within a few percent compared with ones obtained by empirical equation and finite element analysis.

Crack-tip constraint analysis of two collinear cracks under creep condition

  • Jiao, Guang-Chen;Wang, Wei-Zhe;Jiang, Pu-Ning
    • Structural Engineering and Mechanics
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    • v.43 no.3
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    • pp.311-320
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    • 2012
  • The higher-order asymptotic C(t) - $A_2(t)$ approach was employed to investigate the crack-tip stress of two collinear cracks in a power-law creeping material under the plane strain conditions. A comprehensive calculation was made of the single crack, collinear crack model with S/a = 0.4 and 0.8, by using the C(t) - $A_2(t)$ approach, HRR-type field and the finite element analysis; the latter two methods were used to check the constraint significance and the calculation accuracy of the C(t) - $A_2(t)$ approach, respectively. With increasing the creep time, the constraint $A_2$ was exponentially increased in the small-scale creep stage, while no discernible dependency of the constraint $A_2$ on the creep time was found at the extensive creep state. In addition, the creep time and the mechanical loads have no distinct influence on accuracy of the results obtained from the higher-order asymptotic C(t) - $A_2(t)$ approach. In comparison with the HRR-type field, the higher-order asymptotic C(t) - $A_2(t)$ solution matches well with the finite element results for the collinear crack model.

Analysis of a Crack in a Linear Electrostrictive Ceramic Subjected to Electric Fields (전기장을 받는 선형 전왜세라믹 내의 균열해석)

  • Beom, Hyeon-Gyu;Jeong, Gyeong-Mun;Gang, Sang-Hyeon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.2
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    • pp.235-241
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    • 2001
  • A crack with electrically conducting surfaces in a linear electrostrictive ceramic subjected to uniform electric fields is analyzed. Complete forms of electric fields and elastic fields for the crack are derived by using the complex function theory. The linear electromechanical theory predicts overlapping of the traction free crack surfaces. It is shown that the surfaces of the crack are contact near the crack tip. The contact zone size obtained on the basis of the linear dielectric theory for the conducting crack does not depend on the electric fields and depends on only the original crack and the material property for the linear electrostrictive ceramic.

Evaluation of Crack Propagation and Post-cracking Hinge-type Behavior in the Flexural Response of Steel Fiber Reinforced Concrete

  • Gali, Sahith;Subramaniam, Kolluru V.L.
    • International Journal of Concrete Structures and Materials
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    • v.11 no.2
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    • pp.365-375
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    • 2017
  • An experimental evaluation of crack propagation and post-cracking behavior in steel fiber reinforced concrete (SFRC) beams, using full-field displacements obtained from the digital image correlation technique is presented. Surface displacements and strains during the fracture test of notched SFRC beams with volume fractions ($V_f$) of steel fibers equal to 0.5 and 0.75% are analyzed. An analysis procedure for determining the crack opening width over the depth of the beam during crack propagation in the flexure test is presented. The crack opening width is established as a function of the crack tip opening displacement and the residual flexural strength of SFRC beams. The softening in the post-peak load response is associated with the rapid surface crack propagation for small increases in crack tip opening displacement. The load recovery in the flexural response of SFRC is associated with a hinge-type behavior in the beam. For the stress gradient produced by flexure, the hinge is established before load recovery is initiated. The resistance provided by the fibers to the opening of the hinge produces the load recovery in the flexural response.