• Title/Summary/Keyword: critical crack width

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Crack analysis of reinforced concrete members with and without crack queuing algorithm

  • Ng, P.L.;Ma, F.J.;Kwan, A.K.H.
    • Structural Engineering and Mechanics
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    • v.70 no.1
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    • pp.43-54
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    • 2019
  • Due to various numerical problems, crack analysis of reinforced concrete members using the finite element method is confronting with substantial difficulties, rendering the prediction of crack patterns and crack widths a formidable task. The root cause is that the conventional analysis methods are not capable of tracking the crack sequence and accounting for the stress relief and re-distribution during cracking. To address this deficiency, the crack queuing algorithm has been proposed. Basically, at each load increment, iterations are carried out and within each iteration step, only the most critical concrete element is allowed to crack and the stress re-distribution is captured in subsequent iteration by re-formulating the cracked concrete element and re-analysing the whole concrete structure. To demonstrate the effectiveness of the crack queuing algorithm, crack analysis of concrete members tested in the literature is performed with and without the crack queuing algorithm incorporated.

Effect of Crack Propagation Directions on the Interlaminar Fracture Toughness of Carbon/Epoxy Composite Materials (탄소섬유/에폭시 복합재료의 층간파괴인성에 미치는 균열진전각도의 영향)

  • Hwang, Jin-Ho;Hwang, Woon-Bong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.23 no.6 s.165
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    • pp.1026-1038
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    • 1999
  • Interlaminar fracture toughness of carbon/epoxy composite materials has been studied under tensile and flexural loading by the use of width tapered double cantilever beam(WTDCB) and end notched flexure(ENF) specimens. This study has significantly examined the effect of various interfacial ply orientation, ${\alpha}(0^{\circ},\;45^{\circ}\;and\;90^{\circ})$ and crack propagation direction, ${\theta}(0^{\circ},\;15^{\circ},\;30^{\circ}\;and\;45^{\circ})$ in terms of critical strain energy release rate through experiments. Twelve differently layered laminates were investigated. The data reduction for evaluating the fracture energy is based on compliance method and beam theory. Beam theory is used to analyze the effect of crack propagation direction. The geometry and lay-up sequence of specimens are considered various conditions such as skewness parameter, beam volume, and so on. The results show that the fiber bridging occurred due to the non-midplane crack propagation and causes the difference of fracture energy evaluated by both methods. For safer and more reliable composite structures, we obtain the optimal stacking sequence from initial fracture energy in each mode.

A Study on the Proper Fillet Shape in Fracture Mechanical Aspect (파괴역학적 관점에서의 적정 필렛 형상에 관한 연구)

  • Kim, Chul;Yang, Won-Ho;Cho, Myoung-Rae
    • Transactions of the Korean Society of Automotive Engineers
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    • v.7 no.7
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    • pp.214-220
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    • 1999
  • In order to use effectively a machinery part with fillet, it is necessary to determine a proper fillet shape in design step, Study of such problem by fracture mechanical criterion is rare. So, this paper focuses on the design of fillet radius in fracture mechanical aspect. Finite element method was used to obtain crack tip stress intensity factor. Stress intensity factor was calculated by COD(crack opening displacement0method proposed by Ingraffea and Manu. The parameter used in this study are thickness ration, filet radium and crack length . If fillet radius increase , crack propagation may be accelerated. Critical crack length is inversely proportional to fillet radius.

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Flexural-Shear Failure Behavior in I-Shape RC Beams (I형 단면 RC보의 휨-전단파괴 거동에 관한 연구)

  • Moon, Jong-Soo;Yum, Hwan-Seok;Kim, Woo
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.10a
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    • pp.377-380
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    • 1999
  • This paper dscribes an experimental investigation into the cause of flexural-shear failure in RC beams. The experimental variables are bottom flange width and tension bar location. Then these test results were compared and analyzed to deduce the major cause of critical-shear cracking. As a result, it was found that the propagation of the critical shear crack depended exclusively on the intensity of horizontal cracking.

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A Study on the Resistance and Crack Propagation of ITO/PET Sheet with 20 nm Thick ITO Film (20 nm 두께의 ITO층이 코팅된 ITO/PET Sheet의 저항 및 균열형성 특성 연구)

  • Kim, Jin-Yeol;Hong, Sun-Ig
    • Journal of the Korean Ceramic Society
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    • v.46 no.1
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    • pp.86-93
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    • 2009
  • The crack formation and the resistance of ITO film on PET substrate with a thickness of 20 nm were investigated as a function of strain. The onset strain for the increase of resistance increased with increasing strain rate, suggesting the crack initiation is dependent on the strain rate. Electrical resistance increased at the strain of 1.6% at the strain rates below $10^{-4}/sec$ while it increased at ${\sim}2%$ at the strain rates above $10^{-3}/sec$. The critical strain at which the cracks were formed is close to the proportional limit. Upon loading, the initial cracks perpendicular to the tensile axis were observed and propagated the whole sample width with increasing strain. The spacing between horizontal cracks is thought to be determined by the fracture strength and the interfacial strength between ITO and PET. The crack density increased with increasing strain. However, the effect of the strain rate on the crack density was less pronounced in ITO/PET with 20 nm ITO thickness than ITO/PET with 125 nm ITO thickness, the strength of ITO film is thought to increase as the thickness on ITO film decreases. The absence of cracks on ITO film at a strain as close as 1.5% can be attributed to the compressive residual stress of ITO film which was developed during cooling after the coating process. The higher critical strain for the onset of the resistance increase and the crack initiation of ITO/PET with a thinner ITO film (20 nm) can be linked with the higher strength of the thinner ITO film.

Study on Chevron Crack Occurring in a 4-stage Open Cold Extrusion Process by Finite Element Method (유한요소법을 이용한 4단 개방냉간압출시 발생하는 셰브론 크랙에 관한 연구)

  • Hwang, H.S.;Lee, Y.S.;Joun, M.S.
    • Transactions of Materials Processing
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    • v.26 no.4
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    • pp.210-215
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    • 2017
  • In this paper, utilizing the theory of ductile fracture a chevron crack in a 4-stage open cold extrusion process is predicted by the finite element methods and then compared with previous experiments. The normalized Cockcroft-Latham damage model is employed and the material is identified using a tensile test based material identification technique that gives fracture information as well as flow stress at large strain. A large difference between the predicted cracks and actual experiments is observed, specifically narrower width and greater maximum height of the crack. This reveals the limitation of this approach based on the conventional theory of ductile fracture. Based on the observations and the related criticisms, a new approach for predicting the chevron crack is proposed, suggesting that either the critical damage should not be a fixed material constant, or that the conventional fracture theory should be considered with the effects of embrittlement due to accumulated plastic deformation while the duration of crack generation and plastic deformation should be reduced.

Estimation on a Contact Size Effect in Fretting Fatigue Between Cylindrical Pad and Flat Specimen (실린더형 패드와 평판 시험편간 프레팅 피로의 접촉폭 크기효과에 관한 평가)

  • Kim, Jin-Kwang;Cho, Sang-Bong
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.6
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    • pp.116-125
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    • 2008
  • In general, fretting is a contact damage process due to micro-slip associated with small amplitude oscillatory movement between two surfaces in contact. Previous studies in fretting fatigue have observed a contact size effect related to contact width. The volume-averaging method of theoretically predicted contact stress fields was required to emulate experimental trends and to predict the observed contact size effects. This contact size effect is captured by the mean values of stresses and strains at the element integration points of FE model and two critical plane models (SWT, FS) in the present paper. It is shown that crack nucleation and fretting fatigue life can be predicted by the FE-based critical plane models.

Nonlinear Fracture Analysis of Polymer-Impregnated Concrete Flextural Members (폴리머침투콘크리트 휨부재의 비선형 파괴해석)

  • 변근주;이상민;유동우;김태진
    • Proceedings of the Korea Concrete Institute Conference
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    • 1992.10a
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    • pp.202-207
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    • 1992
  • The objective of this study is to develop analytical techniques of polymer impregnated concrete flexural members for its proper applications. crystalline methylmethacrylate(MMA) is chosen as a monomer of polymer impregnants, On the basis of members. fracture toughness, fracture energy , critical crack width, and tension softening relations near crack tip are formulated in terms of member depth, initial notch length and the flexural strength of normal concrete. The structural analysis rocedure and the finite element computer program developed in the study are applicable to evaluate elastic behavior, ultimate strength, and tension softening behavior of MMA type PIC structural members subject to various loading conditions. It is concluded that the developed structural analysis procedure and the finite element computer program are applicable to analysis and design of in-situ and precast PIC structural members.

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A Fatigue Analysis of Prestressed Concrete Composite Girders with Time Dependent Effects (시간에 따른 영향을 고려한 프리스트레스트 콘크리트 합성 거더의 피로해석)

  • 김지상;오병환
    • Proceedings of the Korea Concrete Institute Conference
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    • 1992.04a
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    • pp.126-130
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    • 1992
  • Recently, fatigue problem become a critical issue in the design of prestressed concrete bridges due to the increase of traffic volumes and use of high-strength materials. Most existing studies are mainly concerned with the fatigue behavior of component materials only such as concrete, reinforcing bars, and prestressing steels and few studies exist that deals with the fatigue behavior of bridge members. An improved analytic formulation for both uncracked and cracked prestressed concrete composite section with cyclic creep effect is developed to take into account the change of neutral axis with crack propagation. The procedure also enables to investigate serviceability limit states, deflection and crack width. The present study allows more realistic analysis and design of prestressed concrete composite girder bridges under fatigue loadings.

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The Effect of Hole Size on the Failure Strength and Fracture Toughness in Polymer Matrix Composite Plates (Plastic기 복합재료의 파손강도 및 파괴인성에 미치는 원공크기의 영향)

  • Kim, Jeong-Gyu;Kim, Do-Sik
    • Korean Journal of Materials Research
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    • v.3 no.2
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    • pp.197-204
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    • 1993
  • Abstract The effects of the hole size and the specimen width on the fracture behavior of several fabric composite plates are experimentally investigated in tension. Tests are performed on plain woven glass/ epoxy, plain woven carbon/epoxy and satin woven glass/polyester specimens with a circular hole. It is shown in this paper that the characteristic length according to the point stress criterion depends on the hole size and the specimen width. An excellent agreement is found between the experimental results and the analytical predictions of the modified failure criterion. The notched strength increase with an increase in the damage ratio, which is explained by a stress relaxation due to the formation of damage zone. When the unstable fracture occurred, the critical crack length equivalent for the damage zone is about twice the characteristic length. The critical energy release rate $G_c$ is independent of hole size for the same specimen width. The variation of $G_c$ according to the material system, fiber volume fraction and specimen width relates to the notch sensitivity factor. $G_c$ increases with a decrease in the notch sensitivity factor, which can be explained by a stress relaxation due to the increase of damage zone.

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