• Title/Summary/Keyword: 모드 I

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

  • Lee, Gwang-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.8 s.179
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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.

Behaviour of Fatigue Crack Propagation under Mixed Mode(I+II) with variation of Crack Length (혼합모드(I+II)하에서 균열길이 변화에 따른 피로균열 전파 거동)

  • Jeong, Eui-Hyo;Hur, Bang-Soo;Kwon, Yun-Ki;Oh, Taek-Yul
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.182-187
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    • 2000
  • The application of fracture mechanics have traditionally concentrated on cracks leaded by tensile stresses, and growing under an opening or mode I mechanism. However, many cases of failures occur from growth of cracks subjected to mixed mode loading. Several criteria have been proposed regarding the crack growth direction under mixed mode loadings. This paper is aimed at prediction of fatigue crack growth behaviour under mixed mode(I+II) in two dimensional branched type precrack. In this paper, the maximum tangential stress(MTS) criterion was used to predict crack growth direction. Not only experiment but also finite element analysis(FEA) was carried out. The theoretical predictions were compared with experimental results in this paper

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Mode I and Mode II Stress Intensity Factors for a Surface Cracked in TiN/Steel Under Hertzian Rolling Contact (Hertzian 접촉하중시 TiN/Steel의 표면균열에 대한 모드 I과 모드 II 응력확대계수)

  • Kim, Byeong-Su;Kim, Wi-Dae
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.25 no.8
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    • pp.1163-1172
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    • 2001
  • The two dimensional problem of a layered tribological system(TiN/Steel) containing a vertical surface breaking crack and subject to rolling contact is considered in this study. Using finite elements and stress extrapolation method, a series of preliminary models are developed. Preliminary results indicate that the extrapolation technique is valid to determine Modes I and II stress intensity factors for cracks. In the case of TiN/Steel medium, KI and KII were determined for variations in crack length, layer thickness, and load location. The results show that KII reaches maximum values when the contact is adjacent to the crack where Mode I stresses are compressive. KII values decrease with decreased crack length and significantly decrease for reduced layer thickness.

Fracture Toughness of a Center Notched Concrete Disk (중앙에 노치가 있는 콘크리트 디스크의 파괴인성)

  • Park Hyun-Jae;Jang Hee-Suk;Lee Seung-Hoon;Jin Chi-Sub
    • Journal of the Korea Concrete Institute
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    • v.16 no.6 s.84
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    • pp.851-858
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    • 2004
  • Purpose of this paper is to determine the appropriate size of a center notched disk specimen for mode I fracture toughness $K_{IC}$. For this purpose, mode I test results with various sizes of center notched disk were compared with the RILEM three-point-bend test ones. Compressive strength of concrete used in this paper was 44.9 MPa. Diameters of 200, 300, 400 mm, thickness of 75, 100, 125 mm, and notch length ratios an of 0.3, 0.4, 0.5, 0.6 were used for the mode I disk test. Also, diameter of 300mm thickness of 100mm, and notch length ratios a/R of 0.3, 0.4, 0.5, 0.6 were used for the mixed mode disk test. Mixed mode stress intensity factors were investigated by changing notch angles for the disk specimen. Stress intensity factors of a center notched disk were calculated with the various methods for comparison. From the test results, mode I fracture toughness calculated from the disk specimen with diameter of 300 mm, thickness of Inn and notch length ratio a/R of 0.5 was very similar to the RILEM three-point-bend test ones. And it is verified that stress intensity factors for mixed mode can be easily calculated with the disk specimen.

Method to measure $K_ I$,$K_ I1$ and J-integral for CTS specimen under mixed mode loading (혼합모드 하중을 받는 CTS 시험편에서 $K_ I$,$K_ I1$ 와 J-적분의 측정방법)

  • Hong, K.J;Kang, K.J
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3498-3506
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    • 1996
  • A loading device to be used in fracture experiment is presented. It's loading angle can be adjusted from $-45^{\circ}$ to $105^{\circ}$ at intervals of $15^{\circ}$ for a CTS ( compact tension-shear) specimen, so that it is to be useful to measure mixed mode toughness. The equations to give the $K_ I$, $K_ I1$ and J-integral for the experiment are evluated though finite elemetn analysis in which the loading procedure is simulated and the behaviors of the specimen such as load-displacement curve are estimated. In the course of the evaluation the values $K_ I$, $K_ I1$ and J-integral calculated through recentrly released numerical methods are employed as the reference ones.

A Hybrid Resonant Mode Identification using Non-decaying Mode Analysis in Dielectric Loaded Cylindrical Cavity Resonators (비소멸 모드 해석을 이용한 유전체 삽입 원통형 공동 공진기 하이브리드 공진 모드 구분)

  • Lee, Won-Hui;Hur, Jung
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.14 no.6
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    • pp.655-662
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    • 2003
  • A rigorous field analysis by the non-decaying mode and the contour graph method is presented for dielectric-rod loaded cylindrical cavity resonators. Resonant frequencies and the lowest order modes for this resonator are calculated. The mode charts are presented to design the resonators. TE mode(transverse electric or H mode, having no Ez), TM mode(transverse magnetic or I mode, having no ㎐) and HEM mode(hybrid electromagnetic mode, having non-zero Ez and ㎐) are analyzed in detail using non-decaying mode method. The mode charts are completed. The validity of the theory is confirmed by experiments. The results were on the whole satisfactory. Experimental measurements show excellent agrement with the numerical results. The average error of TE, TM, and HEM mode is about 0.20 %, 0.14 %, and 0.28 %, respectively.

Studies on Fracture Criterion in Yellow Lauan(Shorea spp.) under Mode I, Mode II and Mixed Mode Loading (황(黃)라왕재(Shorea spp.)의 모드 I, 모드 II 및 혼합(混合)모드 하중시(荷重時) 파괴기준(破壞基準)에 관(關)한 연구(硏究))

  • Shim, Kug-Bo;Lee, Jun-Jae;Jung, Hee-Suk
    • Journal of the Korean Wood Science and Technology
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    • v.20 no.2
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    • pp.61-72
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    • 1992
  • This study was carried out to investigate the fracture behavior and the fracture criterion of yellow lauan(Shorea spp.), when has used for furniture and wood structures, and to offer a reliability for wood structure and basic data for wood fracture criterion in experiments which are fracture tested under mode I, mode II and mixed mode loading condition. The results were summarized as follows; 1. Fractures in specimens which have inclined grain in yellow lauan procedeed from crack tip in the radial direction along the grain. 2. In yellow lauan, $K_{IC}RL$ was 42.1kg/$cm^{3/2}$ and $K_{IIC}RL$ was 15.8kg/$cm^{3/2}$. 3. The fracture criteria of lauan were; ($K_I/K_{IC}$)+($K_{II}/K_{IIC}$)=1 in RL system with inclined grain at $45^{\circ}$, ($K_I/K_{IC}$)+$(K_{II}/K_{IIC})^2$=1 with inclined grain at $15^{\circ}$ and $(K_I/K_{IC})^2$+$(K_{II}/K_{IIC})^2$=1 with inclined grain at $30^{\circ}$, $60^{\circ}$, $75^{\circ}$ and $90^{\circ}$, respectively. 4. The fracture criterion of wood could vary with the species, and the load applying condition. In order to measure the fracture criterion strictly, along with standardization of specimen geometry a large amount of experimental data is needed. 5. $K_{IC}$(critical stress intensity factor) can be predicted by grain angle. As the grain inclined angle increased, $K_{IC}$ and $K_{IIC}$ are increased.

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Evaluation of Fracture Behavior of Adhesive Layer in Fiber Metal Laminates using Cohesive Zone Models (응집영역모델을 이용한 섬유금속적층판 접착층의 모드 I, II 파괴 거동 물성평가)

  • Lee, Byoung-Eon;Park, Eu-Tteum;Ko, Dae-Cheol;Kang, Beom-Soo;Song, Woo-Jin
    • Composites Research
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    • v.29 no.2
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    • pp.45-52
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    • 2016
  • An understanding of the failure mechanisms of the adhesive layer is decisive in interpreting the performance of a particular adhesive joint because the delamination is one of the most common failure modes of the laminated composites such as the fiber metal laminates. The interface between different materials, which is the case between the metal and the composite layers in this study, can be loaded through a combination of fracture modes. All loads can be decomposed into peel stresses, perpendicular to the interface, and two in-plane shear stresses, leading to three basic fracture mode I, II and III. To determine the load causing the delamination growth, the energy release rate should be identified in corresponding criterion involving the critical energy release rate ($G_C$) of the material. The critical energy release rate based on these three modes will be $G_{IC}$, $G_{IIC}$ and $G_{IIIC}$. In this study, to evaluate the fracture behaviors in the fracture mode I and II of the adhesive layer in fiber metal laminates, the double cantilever beam and the end-notched flexure tests were performed using the reference adhesive joints. Furthermore, it is confirmed that the experimental results of the adhesive fracture toughness can be applied by the comparison with the finite element analysis using cohesive zone model.

Delamination behavior of multidirectional laminates under the mode I loading (모드 I 하중조건하에 있는 다방향 적층 복합재료의 층간파괴거동)

  • Choi, Nak-Sam;Kinloch, A.J.
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.3
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    • pp.611-623
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    • 1998
  • The delamination fracture of multidirectional carbon-fiber/epoxy laminates under the Mode I condition has been studied using the modified beam analysis for a fracture mechanics approach. It was found that the variation of fracture energy $G_IC$ with increasing length of the propagating crack exhibited a minimum for the pure interlaminar fracture and a maximum for the intraply fracture,i.e. a rising "R-curve", which was strongly affected by the degree of fiber bridging and crack-tip splitting arising in the global delamination. The maximum $G_IC$ value was significantly dependent on such types of delamination as no crack jumping, crack jumping into the adjacent ply and edge-delamination. It was shown also that the value of "effective flexural modulus" estimated from the modified beam analysis increased much with the development of fiber bridging behind the crack tip.ehind the crack tip.