• Title/Summary/Keyword: 응력 확대계수

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Integrity Evaluation for 3D Cracked Structures(II) (3차원 균열을 갖는 구조물에 대한 건전성 평가(II))

  • Lee, Joon-Seong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.14 no.1
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    • pp.1-6
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    • 2013
  • Three Surface cracks are among the more common flaws in aircraft and pressure vessel components. Accurate stress intensity analyses and crack growth rate data of surface-cracked components are needed for reliable prediction of their fatigue life and fracture strengths. Three Dimensional finite element method (FEM) was used to obtain the stress intensity factor for surface cracks existing in structures. A geometry model, i.e. a solid containing one or several 3D cracks is defined. Nodes are generated by bucket method, and quadratic tetrahedral solid elements are generated by the Delaunay triangulation techniques. To examine accuracy and efficiency of the present system, the stress intensity factor for a semi-elliptical surface crack in cylindrical structures subjected to pressure is calculated. Analysis results by present system showed good agreement with those by ASME equation and Raju-Newman's equation.

Evaluation of stress intensity factor for a crack normal to bimaterial interface using cubic isoparametric finite elements (3차 등매개 유한요소를 이용한 이종재료 접합면에 수직인 균열의 응력확대계수 평가)

  • Lim, Won-Gyun;Jeong, Gyu-Cheol;Song, Chi-Hun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.206-214
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    • 1998
  • When a crack meets bimaterial interface stress singularity depends on the elastic constants of the adjacent materials. In the present study we are going to describe the finite element formulation for problems with a crack to be embedded in the stiffer material$({\mu}_2/{\mu}_1)$. The cubic isoparametric singular element, represented by adequately shifting the mid-side nodes adjacent to the crack tip is constructed to enclose the crack tip. An alternative method to obtain the optimal position of the mid-side nodes of cubic isoparametric elements is presented. In addition, a proper definition for the stress intensity factors of a crack normal to bimaterial interface is provided. It is based upon near a tip displacement solutions. Models for numerical analysis are two dimensional elastic bodies with a through crack under plain strain. The results obtained are compared with the previous solutions.

Numerical Analysis of Viscoelastic Cylinders with Mode I Cracks (점탄성 원통의 모드 I 균열 해석)

  • Sim Woo-Jin;Oh Guen
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.3 s.73
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    • pp.259-269
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    • 2006
  • In this paper, the stress intensity factor, energy release rate and crack opening displacement are computed using the finite element method for axisymmetric viscoelastic cylinders with the penny-shaped and circumferential cracks. The triangular elements with quarter point nodes are used to describe the stress singularity around the crack edge. The analytical solutions are also derived by using the elastic-viscoelastic correspondence principle and compared with the numerical results to show the validity and accuracy of the presented method. Viscoelastic materials are assumed to behave elastically in dilatation and like a three-parameter standard linear solid.

A Study on Prediction of Stress Intensity Factor and Fatigue Crack Growth Behavior Using the X-ray Diffraction Technique (X-선 회절을 이용한 피로균열진전거동과 응력확대계수 예측에 관한 연구)

  • Lim, Man-Bae;Boo, Myung-Hawn;Kong, Yu-Sik;Yoon, Han-Ki
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.5
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    • pp.673-680
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    • 2003
  • This study verified the relationship between fracture mechanics parameters(ΔK, ΔK$\sub$eff/, K$\sub$max/) and X-ray parameters (${\alpha}$$\sub$r/, B) for SG365 steel at elevated temperature up to 300$^{\circ}C$. The fatigue crack propagation test were carried out and X-ray diffraction technique according to crack length direction was applied to fatigue fractured surface. The residual stress on the fracture surface was found to increase low ΔK region, reach to a maximum value at a certain value of K$\sub$max/ or ΔK and then decrease. Residual stress were independent on stress ratio by arrangement of ΔK and half value breadth were independent by the arrangement of K$\sub$max/. The equation of ${\alpha}$$\sub$r/ - ΔK was established by the experimental data. Therefore, tincture mechanics parameters could be estimated by the measurement of X-ray parameters.

Determination of Stress Intensity Factor for a Crack Perpendicular to Bimaterial Interface by Finite Element Method (유한요소법에 의한 이종재료 접합면에 수직인 균열의 응력확대계수 결정)

  • 임원균;김상철;이창수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.10
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    • pp.2398-2406
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    • 1993
  • Abdi's numerical method(ref.13) for representing a stress singularity by shifting the mid-side nodes of isoparametric elements is reviewed. A simple technique to obtain the optimal position of the mid-side nodes in quadratic isoparametric finite element is presented. From this technique we can directly obtain the position of the side-nodes adjacent to the crack tip. It is also observed that the present technique provides good accuracy for the expression of the opening displacement and the determination of the mid-side nodes for more wide range of material properties than that obtained by Abdicant the finite element method is applied to determine stress intensity factors for pressurized crack perpendicular to and terminating at the interface of two bonded dissimilar materials. A proper definition for stress intensity factors of a crack perpendicular to bimaterial interface is provided. It is based upon a near-tip displacement solutions on the crack surface for interface crack between two dissimilar materials. Numerical testing is carried out with the eight-node and six-node elements. The results obtained are compared with the previous solutions.

Stress Intensity Factors for the Mixed Mode in Rotating Disks by Boundary Element Method (경계요소법에 의한 회전원판의 혼합 모우드 응력확대계수)

  • Park, S.O.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.7
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    • pp.148-157
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    • 1996
  • This paper deals with the applicability of linear elastic fracture mechanics under centrifugal force. Stress intensity factors K are calculated as a function of the inclination crack of length 2a, the position at different angular velocities 1200rpm, 2400rpm and at different values of the inclination crack angle .phi. ( .phi. = 0 .deg. , 15 .deg. , 30 .deg. , 45 .deg. , 60 .deg. , 75 .deg. , 90 .deg. ) and are measured in models of rotation disks using a boundary element method. Especially, stress intensity factors $K_{l}$ and $K_{ll}$ obtained separately from the crack tip of the mixed mode, were used to further investigate the influence of $K_{l}$ and $K_{ll}$ on fracture in rotating disks. With the increase in the speed of rotation, the effect of K/ sub l/became larger where as that of $K_{ll}$ became small. For the increase in the inclination crack angle .phi. , a decrease in $K_{l}$ and an increase in $K_{ll}$ were observed.

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

  • 최상인
    • Transactions of the Korean Society of Automotive Engineers
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    • v.4 no.2
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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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A Study on the Dynamic Stress Intensity Factor of Orthotropic Materials(I) (직교 이방성체의 동적 응력확대계수에 관한 연구(I))

  • 이광호;황재석;최선호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.2
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    • pp.313-330
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    • 1993
  • The propagating crack problems under dynamic plane mode in orthotropic material is studied in this paper. To analyze the dynamic fracture problems in orthortropic material, it is important to know the dynamic stress components and dynamic displacement components around the crack tip. Therefore the dynamic stress components of dynamic stress field and dynamic displacement components of dynamic displacement field in the crack tip of orthotropic material under the dynamic load and the steady state in crack propagation were derived. When the crack propagation speed approachs to zero, the dynamic stress component and dynamic displacement components derived in this study are identical to the those of static state. In addition, the relationships between dynamic stress intensity factor and dynamic energy release rate are determinded by using the concept of crack closure closure energy with the dynamic stresses and represented according to physical properties of the orthotrophic material and crack speeds. The faster the crack velocity, the greater the stress value of stress components in crack tip. The stress value of the stress component of crack tip is greater when fiber direction coincides with the crack propagation than when fider direction is normal to the crack propagation.

A study on prediction of stress intensity factor and fatigue crack growth behavior using the X-ray diffraction technique (X-선 회절을 이용한 피로균열진전거동과 응력확대계수 예측에 관한 연구)

  • Lim, Man-Bae;Kong, Yu-Sik;Boo, Myung-Hawn;Cha, Gee-Jun;Yoon, Han-Ki
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.317-323
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    • 2001
  • This study verified the relationship between fracture mechanics parameters$({\Delta}K,\;{\Delta}K_{eff},\;K_{max})$ and X-ray parameters $(\sigma_r,\;B)$ for SG365 steel at elevated temperature up to $300^{\circ}C$. The fatigue crack propagation test were carried out and X-ray diffraction technique according to crack length direction was applied to fatigue fractured surface. The residual stress on the fracture surface was found to increase low ${\Delta}K$ region, reach to a maximum value at a certain value of $K_{max}\;or\;{\Delta}K$ and then decrease. Residual stress were independent on stress ratio by arrangement of ${\Delta}K$ and half value breadth were independent by the arrangement of $K_{max}$. The equation of $\sigma_r-{\Delta}K$ was established by the experimental data. Therefore, fracture mechanics parameters could be estimated by the measurement of X-ray parameters.

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The Effect of Stress Ratio on Fatigue Crack Propagation Rate in SA516/60 Pressure Vessel Steel at Low Temperature (저온 압력용기용 SA516/60강의 피로균열 진전 속도에 미치는 응력비의 영향)

  • 박경동;하경준;박상오
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.11a
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    • pp.80-87
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    • 2001
  • The fatigue crack growth behavior of the SA516/60 steel which is used for pressure vessels was examined experimentally at room temperature $25^{\circ}C, -30^{\circ}C, -60^{\circ}C, -80^{\circ}C, -100^{\circ}C$ and -l2$0^{\circ}C$ with stress ratio of R=0.05, 0.1 and 0.3. Fatigue crack propagation rate da/dN related with stress intensity factor range ΔK was influenced by stress ratio in stable of fatigue crack growth (Region II) with an increase in ΔK. The resistance of fatigue crack growth at low temperature is higher compared with that at room temperature, which is attributed to the extent of plasticity-induced by compressive residual stress according to the cyclic loads. Fractographic examinations reveal that the differences of the fatigue crack growth characteristics between room and low temperatures are mainly explained by the crack closure and the strengthening due to the plasticity induced and roughness induced.

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