• Title/Summary/Keyword: Stress Intensity factors

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Stress Intensity Factors of a Crack Embedded in Bonded Elastic Layers (접합된 탄성층 내에 존재하는 균열의 응력강도계수)

  • 박재학
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1538-1550
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    • 1991
  • 본 연구에서는 접합된 두 층이 유한한 두께를 가지고, 또한 균열은 임의의 각 도로 기울어져 있는 경우의 문제를 해석하여 층의 두께 등이 응력강도계수에 미치는 영향을 살펴보았다.

The Problem of Collinear Cracks in a Layered Half-Plane with a Functionally Graded Nonhomogeneous Interfacial Zone (비균질 구배기능 계면영역을 고려한 적층 만무한체의 동일선상 복수균열 해석)

  • Jin, Tae-Eun;Choe, Hyung-Jip;Lee, Kang-Yong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.4
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    • pp.1275-1289
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    • 1996
  • The plane elasticity problem of collinear cracks in a layered medium is investigated. The medium is modeled as bonded structure constituted from a surface layer and a semi-infinite substrate. Along the bond line between the two dissimilar homegeneous constituents, it is assumed that as interfacial zone having the functionally graded, nonhomogeneous elastic modulus exists. The layered medium contains three collinear cracks, one in each constituent material oriented perpendicular to the nominal interfaces. The stiffness matrix formulation is utilized and a set of homogeneous conditions relevant to the given problem is readily satisfied. The proposed mixed boundary value problem is then represented in the form of a system of integral equations with Cauchy-type singular kernels. The stress intensity factors are defined from the crack-tip stress fields possessing the standard square-root singular behavior. The resulting values of stress intensity factors mainly address the interactions among the cracks for various crack sizes and material combinations.

Fatigue Crack Propagation Behavior in STS304 under Mixed Mode Loading (혼합모드 하중에서의 STS304의 피로균열 전과거동)

  • Song, Sam-Hong;Lee, Jeong-Moo
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.131-139
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    • 2001
  • The use of fracture mechanics has traditionally concentrated on crack growth under an opening mechanism. However, many service failure occur from cracks subjected to mixed mode loadings. Hence, it is necessary to evaluate the fatigue behavior under mixed mode loading. Under mixed mode loading conditions, not only the fatigue crack propagation rate is of importance, but also the crack propagation direction. The mode I and II stress intensity factors of CTS specimen were calculated using elastic finite element method. The propagation behavior of the fatigue crack of the STS304 steeds under mixed mode loading condition was evacuated by using stress intensity factors $K_I$ and $K_II. The MTS criterion and effective stress intensity factor were applied to predict the crack propagation direction and the fatigue crack propagation rate.

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Analysis of Propagating Crack Along Interface of Isotropic-Orthotropic Bimaterial by Photoelastic Experiment

  • Lee, K.H.;Shukla, A.;Parameswaran, V.;Chalivendra, V.;Hawong, J.S.
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.102-107
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    • 2001
  • Interfacial cracks between an isotropic and orthotropic material, subjected to static far field tensile loading are analyzed using the technique of photoelasticity. The fracture parameters are extracted from the full-field isochromatic data and the same are compared with that obtained using boundary collocation method. Dynamic Photoelasticity combined with high-speed digital photography is employed for capturing the isochromatics in the case of propagating interfacial cracks. The normalized stress intensity factors for static crack is greater when $\alpha=90^{\circ}C$ (fibers perpendicular to the interface) than when $\alpha=0^{\circ}C$ (fiber parallel to the interface) and those when $\alpha=90^{\circ}C$ are similar to ones of isotropic material. The dynamic stress intensity factors for interfacial propagating crack are greater when $\alpha=0^{\circ}C$ than $\alpha=90^{\circ}C$. The relationship between complex dynamic stress intensity factor $|K_D|$ and crack speed C is similar to that for isotropic homogeneous materials, the rate of increase of energy release rate G or $|K_D|$ with crack speed is not as drastic as that reported for homogeneous materials.

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Comparison of Stress Intensity Factors for Longitudinal Semi-elliptical Surface Cracks in Cyclindrical Pressure Vessels (내압이 작용하는 원통형용기에 대한 축방향 표면결함의 응력확대계수 계산방법 비교)

  • Moonn, H.R.;Jang, C.H.
    • Proceedings of the KSME Conference
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    • 2001.06a
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    • pp.622-627
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    • 2001
  • The object of this paper is to compare stress intensity factor that be calculated by Raju-Newman's equation, finite element method, and Vessel INTegrity analysis inner flaws(VINTIN) program for longitudinal semi-elliptical cracks in cylindrical vessel under inner pressure. For this, three-dimensional finite-element analyses were performed to obtain the stress intensity factors for various surface cracks with t/R = 0.1. The finite element meshes were designed for various crack shapes with t/R of 0.1. The crack depth to thickness ratio, a/t, was set to 0.2 and 0.5 matching Raju-Newman's equation. The crack depth to length ratio, a/c, was set to 0.2 and 0.4 in the same way and 0.33 was added to extend the range of crack configuration. Finite Element Analyses(FEA) were performed using the commercial FEA program ABAQUS. The results showed that the Raiu-Newman solutions were about 4-10% lower than FEA's using symmetric model of one-eighth of a vessel and close to those of FEA using symmetric model or one-forth or a vessel. Ana VINTIN solutions were nearly equal to those or Raju-Newman.

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Numerical Computation of Dynamic Stress Intensity Factors Based on the Equations of Motion in Convolution Integral (시간적분형 운동방정식을 바탕으로 한 동적 응력확대계수의 계산)

  • Sim, U-Jin;Lee, Seong-Hui
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.5
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    • pp.904-913
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    • 2002
  • In this paper, the dynamic stress intensity factors of fracture mechanics are numerically computed in time domain using the FEM. For which the finite element formulations are derived applying the Galerkin method to the equations of motion in convolution integral as has been presented in the previous paper. To assure the strain fields of r$^{-1}$ 2/ singularity near the crack tip, the triangular quarter-point singular elements are imbedded in the finite element mesh discretized by the isoparametric quadratic quadrilateral elements. Two-dimensional problems of the elastodynamic fracture mechanics under the impact load are solved and compared with the existing numerical and analytical solutions, being shown that numerical results of good accuracy are obtained by the presented method.

Stress Intensity Factors for an Interlaminar Crack in Composites under Arbitrary Crack Surface Loadings (임의의 균열표면 하중을 받는 복합채 중앙균열의 응력세기계수)

  • Lee, Gang-Yong;Park, Mun-Bok;Kim, Seong-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.3
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    • pp.901-909
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    • 1996
  • A model is constructed to evaluate the stress intensity factors(SIFs) for composites with an interlaminar crack subjected to as arbitrary crack surface loading. A mixed boundary value problem is formulated by Fourier integral transform method and a Fredholm integral equation of the second kind is derived. The integral equation is solved numerically and the mode I and II SIFs are evaluated for various shear modulus ratios between each layer, crack length to layer thickness, each term of crack surface polynomial loading and the number of layers. The mode I and II SIFs for the E- glass/epoxy composites as well as the hybrid composites are also evaluated.

Calculation of Stress Intensity Factors Using Single-Layer Potential and Weight Function (Single-Layer 포텐셜과 가중함수를 이용한 응력강도계수의 계산)

  • 이형연;홍창선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.4
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    • pp.981-989
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    • 1995
  • A new weight function approach to determine SIF(stress intensity factor) using single-layer potential has been presented. The crack surface displacement field was represented by one boundary integral term whose kernel was modified from Kelvin's fundamental solution. The proposed method enables the calculation of SIF using only one SIF solution without any modification for the crack geometries symmetric in two-dimensional plane such as a center crack in a plate with or without an internal hole, double edge cracks, circumferential crack or radial cracks in a pipe. The application procedure to those crack problems is very simple and straightforward with only one SIF solution. The necessary information in the analysis is two reference SIFs. The analysis results using present closed-form solution were in good agreement with those of the literature.