• 제목/요약/키워드: axial crack

검색결과 303건 처리시간 0.023초

Analytical crack growth in unidirectional composite flywheel

  • Lluis Ripoll;Jose L. Perez-Aparicio;Pere Maimi;Emilio V. Gonzalez
    • Coupled systems mechanics
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    • 제12권2호
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    • pp.183-197
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    • 2023
  • Scarce research has been published on crack propagation fracture of flywheels manufactured with carbon fiber-reinforced polymers. The present work deals with a calculation method to determine the conditions for which a crack propagates in the axial direction of the flywheel. The assumptions are: flywheels made with just a single thick ply or ply clustering laminates, oriented following the hoop direction; a single crack is analyzed in the plane defined by the hoop and axial directions; the crack starts close to one of the free edges; its axial length is initially large enough so that its tip is far away from that free edge, and the crack expands the entire circumferential perimeter and keeps its concentric position. The developed method provides information for a good design of flywheels. It is concluded that a fracture-based crack propagation criterion generally occurs at a lower speed than a stress-based criterion. Also, that the evolution of failure with thickness using the fracture criterion is exponential, demonstrating that thin flywheels are relatively not sensitive to crack propagation, whereas thick ones are very prone.

콘크리트의 축압축강도에 대한 크기효과 (Size Effect on Axial Compressive Strength of Concrete)

  • 이성태;김민욱;김진근
    • 콘크리트학회논문집
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    • 제13권2호
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    • pp.153-160
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    • 2001
  • 본 연구에서는 콘크리트 부재에서의 축압축강도에 대한 크기효과를 검토하였다. 이를 위하여 두 가지 대표적인 압축파괴모드 중의 하나인 모드 I 파괴에 대한 실험적 연구를 이중 캔틸레버 보를 이용하여 수행하였다. 각 캔틸레버의 축에 대한 작용하중의 편심거리와 초기 균열길이를 변화시킴에 의하여 콘크리트의 축압축강도에도 크기효과가 존재하는 지의 여부를 확인하였고, 최소자승법을 이용하여 수정된 크기효과법칙의 새로운 실험상수들을 제시하였다. 연구결과로부터 초기 균열이 있는 콘크리트 부재의 축압축강도에도 크기효과가 존재함을 확인하였다. 하중의 편심거리에 있어서는 균열선단에서의 인장과 압축응력의 영향이 매우 중요하며 이 경우에 뚜렷한 크기효과가 나타났다. 즉 균열선단에서 인장응력의 영향이 증가하면 콘크리트의 크기효과는 증가한다. 그러나 초기 균열길이의 경우, 축압축강도의 크기효과에 미치는 영향은 존재하지만 균열길이에 따른 차이는 뚜렷하지 않았는데 이는 고강도 콘크리트 부재의 경우 부재의 세장비 차에도 불구하고 파괴진행영역의 크기가 서로 비슷한데 그 원인이 있는 것으로 판단된다.

축방향 관통균열이 존재하는 곡관의 한계 하중 및 공학적 J-적분 예측 (Limit Load and Approximate J-Integral Estimates for Axial-Through Wall Cracked Pipe Bend)

  • 송태광;김종성;진태은;김윤재
    • 대한기계학회논문집A
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    • 제31권5호
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    • pp.562-569
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    • 2007
  • This paper presents plastic limit loads and approximate J estimates for axial through-wall cracked pipe bends under internal pressure and in-plane bending. Geometric variables associated with a crack and pipe bend are systematically varied, and three possible crack locations (intrados, extrados and crown) in pipe bends are considered. Based on small strain finite element limit analyses using elastic-perfectly plastic materials, effect of bend and crack geometries on plastic limit loads for axial through-wall cracked pipe bends under internal pressure and in-plane bending are quantified, and closed-form limit solutions are given. Based on proposed limit load solutions, a J estimation scheme for axial through-wall cracked pipe bends under internal pressure and in-plane bending is proposed based on reference stress approach.

누설 모양에 따른 파이프 누수 특성에 대한 수치 해석 연구 (Numerical Investigation of the Effect of Crack Shape on Leak Flow Characteristics in Pipelines)

  • 이현민;김정우
    • 한국생산제조학회지
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    • 제26권2호
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    • pp.238-242
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    • 2017
  • The effect of crack shape on the leak flow characteristics in pipelinesis investigated using computational fluid dynamics (CFD) simulations. In the present study, two different crack shapes are considered: axial crack andcircumferential crack. The present simulation results showed that under the same crack area, the aspect ratio influences the leak rate. When the aspect ratio is1, the leak rate reaches the minimum value. Moreover, the leak rate in the circumferentialcrack is slightly larger than that in the axial crack. The change in the leak rateaccording to the crack shape could be explained by the different velocitydistributions at the leak position depending on the aspect ratio.

Experimental study on propagation behavior of three-dimensional cracks influenced by intermediate principal stress

  • Sun, Xi Z.;Shen, B.;Zhang, Bao L.
    • Geomechanics and Engineering
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    • 제14권2호
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    • pp.195-202
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    • 2018
  • Many laboratory experiments on crack propagation under uniaxial loading and biaxial loading have been conducted in the past using transparent materials such as resin, polymethyl methacrylate (PMMA), etc. However, propagation behaviors of three-dimensional (3D) cracks in rock or rock-like materials under tri-axial loading are often considerably different. In this study, a series of true tri-axial loading tests on the rock-like material with two semi-ellipse pre-existing cracks were performed in laboratory to investigate the acoustic emission (AE) characteristics and propagation characteristics of 3D crack groups influenced by intermediate principal stress. Compared with previous experiments under uniaxial loading and biaxial loading, the tests under true tri-axial loading showed that shear cracks, anti-wing cracks and secondary cracks were the main failure mechanisms, and the initiation and propagation of tensile cracks were limited. Shear cracks propagated in the direction parallel to pre-existing crack plane. With the increase of intermediate principal stress, the critical stress of crack initiation increased gradually, and secondary shear cracks may no longer coalesce in the rock bridge. Crack aperture decreased with the increase of intermediate principal stress, and the failure is dominated by shear fracturing. There are two stages of fracture development: stable propagation stage and unstable failure stage. The AE events occurred in a zone parallel to pre-existing crack plane, and the AE zone increased gradually with the increase of intermediate principal stress, eventually forming obvious shear rupture planes. This shows that shear cracks initiated and propagated in the pre-existing crack direction, forming a shear rupture plane inside the specimens. The paths of fracturing inside the specimens were observed using the Computerized Tomography (CT) scanning and reconstruction.

Applicability of Existing Fracture Initiation Models to Modern Line Pipe Steels

  • Shim, Do Jun
    • 한국압력기기공학회 논문집
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    • 제12권2호
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    • pp.1-24
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    • 2016
  • The original fracture criteria developed by Maxey/Kiefner for axial through-wall and surface-cracked pipes have worked well for many industries for a large variety of relatively low strength and toughness materials. However, newer line pipe steels have some unusual characteristics that differ from these older materials. One example is a test data that has demonstrated that X80 line-pipe with an axial through-wall-crack can fail at pressures about 30 percent lower than predicted with commonly used analysis methods for older steels. Thus, it is essential to review the currently available models and investigate the applicability of these models to newer high-strength line pipe materials. In this paper, the available models for predicting the failure behavior of axial-cracked pipes (through-wall-cracked and external surface-cracked pipes) were reviewed. Furthermore, the applicability of these models to high-strength steel pipes was investigated by analyzing limited full-scale pipe fracture initiation test results. Based on the analyzed results, the shortcomings of the available models were identified. For both through-wall and surface cracks, the major shortcomings were related to the characterization of the material toughness, which generally leads to non-conservative predictions in the J-T analyses. The findings in this paper may be limited to the test data that were consider for this study. The requisite characteristics of a potential model were also identified in the present paper.

길이가 다른 두 개의 축방향 관통균열이 동일선상에 존재하는 증기발생기 세관의 균열 합체 압력 (Coalescence Pressure of Steam Generator Tubes with Two Different-Sized Collinear Axial Through-Wall Clacks)

  • 허남수;장윤석;김영진
    • 대한기계학회논문집A
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    • 제30권10호
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    • pp.1255-1260
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    • 2006
  • To maintain the structural integrity of steam generator tubes, 40% of wall thickness plugging criterion has been developed. The approach is for the steam generator tube with single crack, so that the interaction effect of multiple cracks can not be considered. Although, recently, several approaches have been proposed to assess the integrity of steam generator tube with two identical cracks whilst actual multiple cracks reveal more complex shape. In this paper, the coalescence pressure of steam generator tube containing multiple cracks of different length is evaluated based on the detailed 3-dimensional (3-D) elastic-plastic finite element (FE) analyses. In terms of the crack shape, two collinear axial through-wall cracks with different length were considered. Furthermore, the resulting FE coalescence pressures are compared with FE coalescence pressures and experimental results for two identical collinear axial through-wall cracks to quantify the effect of crack length ratio on failure behavior of steam generator tube with multiple cracks. Finally, based on 3-D FE results, the coalescence evaluation diagrams were proposed.

3차원 유한요소 한계해석을 이용한 관통균열 배관의 소성한계하중 (Plastic Limit Loads for Through-Wall Cracked Pipes Using 3-D Finite Element Limit Analyses)

  • 허남수;김영진
    • 대한기계학회논문집A
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    • 제30권5호
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    • pp.568-575
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    • 2006
  • The present paper provides plastic limit load solutions of axial and circumferential through-wall cracked pipes based on detailed three-dimensional (3-D) finite element (FE) limit analysis using elastic-perfectly-plastic behavior. As a loading condition, axial tension, global bending moment, internal pressure, combined tension and bending and combined internal pressure and bending are considered for circumferential through-wall cracked pipes, while only internal pressure is considered for axial through-wall cracked pipes. Especially, more emphasis is given for through-wall cracked pipes subject to combined loading. Comparisons with existing solutions show a large discrepancy in short through-wall crack (both axial and circumferential) for internal pressure. In the case of combined loading, the FE limit analyses results show thickness effect on limit load solutions. Furthermore, the plastic limit load solution for circumferential through-wall cracked pipes under bending is applied to derive plastic $\eta\;and\;{\gamma}$-factor of testing circumferential through-wall cracked pipes to estimate fracture toughness. Being based on detailed 3-D FE limit analysis, the present solutions are believed to be meaningful fur structural integrity assessment of through-wall cracked pipes.

실린더에 존재하는 축방향 표면균열에 대한 공학적 J-적분식 (I) - 변형소성에 기초한 방법- (Engineering J-Integral Estimation for Internal Axial Surface Cracks in Cylinders (I) -Deformation Plasticity Based Estimation-)

  • 김진수;김윤재;박영재;김영진
    • 대한기계학회논문집A
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    • 제26권8호
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    • pp.1672-1679
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    • 2002
  • This paper provides an engineering J estimation equation for cylinders with finite internal axial surfacecracks under internal pressure. The proposed equation is the J estimation equation based on deformation plasticity using Ramberg-Osgood (R-O) materials. Based on detailed 3-D FE results using deformation plasticity, plastic influence functions for fully plastic J components are tabulated for practically interesting ranges of the mean radius-to-thickness ratio, the crack depth-to-length ratio, the crack depth-to-thickness ratio. the strain hardening index for the R-O material, and the location along the semi-elliptical crack front. Based on tabilated plastic influence functions, the J estimation equation along the crack front is proposed and validated for R-O materials. Good agreements between the FE results and the proposed J estimation provide confidence in the use of the proposed method to elastic-plastic fracture mechanics of pressurized piping.

Crack effect on the elastic buckling behavior of axially and eccentrically loaded columns

  • Zhou, L.;Huang, Y.
    • Structural Engineering and Mechanics
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    • 제22권2호
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    • pp.169-184
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    • 2006
  • A close form solution of the maximum deflection for cracked columns with rectangular cross-sections was developed and thus the elastic buckling behavior and ultimate bearing capacity were studied analytically. First, taking into account the effect of the crack in the potential energy of elastic systems, a trigonometric series solution for the elastic deflection equation of an arbitrary crack position was derived by use of the Rayleigh-Ritz energy method and an analytical expression of the maximum deflection was obtained. By comparison with the rotational spring model (Okamura et al. 1969) and the equivalent stiffness method (Sinha et al. 2002), the advantages of the present solution are that there are few assumed conditions and the effect of axial compression on crack closure was considered. Second, based on the above solutions, the equilibrium paths of the elastic buckling were analytically described for cracked columns subjected to both axial and eccentric compressive load. Finally, as examples, the influence of crack depth, load eccentricity and column slenderness on the elastic buckling behavior was investigated in the case of a rectangular column with a single-edge crack. The relationship of the load capacity of the column with respect to crack depth and eccentricity or slenderness was also illustrated. The analytical and numerical results from the examples show that there are three kinds of collapse mechanisms for the various states of cracking, eccentricity and slenderness. These are the bifurcation for axial compression, the limit point instability for the condition of the deeper crack and lighter eccentricity and the fracture for higher eccentricity. As a result, the conception of critical transition eccentricity $(e/h)_c$, from limit-point buckling to fracture failure, was proposed and the critical values of $(e/h)_c$ were numerically determined for various eccentricities, crack depths and slenderness.