• Title/Summary/Keyword: crack tip opening displacement

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Fracture Characteristics of Concrete at Early Ages (초기재령 콘크리트의 파괴특성)

  • Lee, Yun;Kim, Jin-Keun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.05a
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    • pp.215-220
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    • 2001
  • The objective of this study is to examine the fracture characteristics of concrete at early ages such as critical stress intensity factor, critical crack-tip opening displacement, fracture energy based on the concepts of the effective-elastic crack model and the cohesive crack model. A wedge splitting test for Mode I was performed on cubic wedge specimens with a notch at the edge. By varying strength and age, load-crack mouth opening displacement curves were obtained and the results were analyzed by linear elastic fracture mechanics. The results from the test and analysis showed that critical stress intensity factor and fracture energy increased, and critical crack-tip opening displacement decreased with concrete age from 1 day to 28 days. The obtained fracture parameters at early ages may be used as a fracture criterion and an input data for finite element analysis of concrete at early ages.

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A Study on Evaluation of Plastic Strain at Notch Tip of Weld HAZ in Steel (강 용접 열영향부 놋치 선단 의 소성 스트레인 평가에 관한 연구)

  • 김태영;임재규;정세희
    • Journal of Welding and Joining
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    • v.2 no.1
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    • pp.41-48
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    • 1984
  • Recrystallization technique was applied to analyze plastic strain at the notch tip of coarse grain HAZ in mild steel (SB 41) and high strength steel (SA 588). The notch tip of specimen was deformed by three point bending. Accumulated displacement (Crack Opening Displacement ${delta}t$) by the monotonic and cyclic loading under room temperature and hot strain embrittlement temperature ($250^{\circ}C$) was 0~1.0mm. Recrystallization heat treatment conditions were $650^{circ}C{ imes}3hr$ for SB 41 and $700^{circ}C{ imes}3hr$ for SA 588. The experimental results obtained were as follows ; 1) Distribution of the effective plastic strain at plastic zone was appeared by the function of crack opening displacement, and plastic zone or the effective plastic strain increased with crack opening displacement. 2) Plastic strain at notch tip of HAZ due to accumulated hot strain calculated as follows. .epsilon. over bar $_{p}$ = .epsilon. over bar $_{cr}$ (x/ $R_{x}$ ) $^{m}$ (m=0.25) 3) Work hardending ratio of notch tip for hot strain was linearly increased with .epsilon. over bar $_{max}$ and dependent upon the material types.s.

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Fatigue Crack Closure and Propagation Behavior Under Mixed-Mode Loading Observed by the Direct Measuring Method (직접측정법을 이용한 혼합모드 하중 하에서 피로균열의 닫힘과 전파거동)

  • Song Sam Hong;Seo Ki Jeong;Lee Jeong Moo
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.6 s.171
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    • pp.152-158
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    • 2005
  • The stress conditions acting on the practical structure are complex, and thus most cracks existing in the practical structures are under mixed-mode loading conditions. The effect of shear load component of mixed-mode loading acts more greatly in the stage of crack initiation and initial propagation than crack propagation stage. Hence, research on the behavior in the stage of crack initiation and initial propagation need to be examined in order to evaluate behavior of mixed-mode fatigue cracks. In this study, the crack tip displacement(CTD) was measured by using the direct measuring method(DMM). We examined the behavior at crack tip by determining crack opening load$(P_{op})$. From the test results, the propagation behavior of mixed-mode fatigue cracks was evaluated by considering mixed-mode crack closure. Also, we examined the characteristic of crack propagation under mixed-mode loading with crack propagation direction.

Evaluation of Crack Propagation and Post-cracking Hinge-type Behavior in the Flexural Response of Steel Fiber Reinforced Concrete

  • Gali, Sahith;Subramaniam, Kolluru V.L.
    • International Journal of Concrete Structures and Materials
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    • v.11 no.2
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    • pp.365-375
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    • 2017
  • An experimental evaluation of crack propagation and post-cracking behavior in steel fiber reinforced concrete (SFRC) beams, using full-field displacements obtained from the digital image correlation technique is presented. Surface displacements and strains during the fracture test of notched SFRC beams with volume fractions ($V_f$) of steel fibers equal to 0.5 and 0.75% are analyzed. An analysis procedure for determining the crack opening width over the depth of the beam during crack propagation in the flexure test is presented. The crack opening width is established as a function of the crack tip opening displacement and the residual flexural strength of SFRC beams. The softening in the post-peak load response is associated with the rapid surface crack propagation for small increases in crack tip opening displacement. The load recovery in the flexural response of SFRC is associated with a hinge-type behavior in the beam. For the stress gradient produced by flexure, the hinge is established before load recovery is initiated. The resistance provided by the fibers to the opening of the hinge produces the load recovery in the flexural response.

The Relationship between Fracture Toughness and Constraint Effect using Crack Tip Opening Displacement (균열선단 개구변위를 이용한 파괴인성 평가와 구속효과와의 관계)

  • Han, Min-Su;Jang, Seok-Ki;Lee, Don-Chool;Kim, Seong-Jong;Park, Jong-Seek
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.91-92
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    • 2006
  • For the CT specimen of 25.4mm thickness SS400 steel, the fracture toughness and the magnitude of constraint effect, $A_2$ on the non-linear elastoplastic fracture behaviors were experimentally estimated by crack tip opening displacement. In order to estimate constraint effect, displacement measurement position near crack front should be the existed within plastic region. But it is found that the displacement measurement positions by the ${\delta}_5$ method are in elastic region at crack growth initiation. Hence the estimate of constraint effect, $A_2$ by the ${\delta}_5$ method was not reliable.

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Dynamic Analysis of 3 Point Bend Specimens under High Loading Rates

  • Han, Moon-Sik;Cho, Jae-Ung
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.2
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    • pp.84-93
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    • 2000
  • Computer simulations of the mechanical behavior of 3 point bend specimens with a quarter notch under impact load are performed. This validity is found to be identified by the experimental proof. The cases with various loading rates applied at the side of the specimen are considered. An elastoplastic von Mises material model is chosen. Gap opening displacement, reaction force, crack tip opening displacement and strain rate are also compared with rate dependent material(visco-plastic material). The stability during various dynamic load can be seen by using the simulation of this study. These differences of the cases with various loading rates are also investigated.

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Analysis of Fatigue Crack Opening: Belhlavioll Using Direct Measuring Method (직접측정법에 의한 피로크랙 개구거동의 해석)

  • Song, Sam-Hong;Kim, Hyun
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.8
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    • pp.1493-1502
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    • 1992
  • The purpose of this study is to identify the effects of loading variables on fatigue crack opening behavior, using structural steel SS41. To use various stress ratios, three kinds of the methods varying stress ratio were used; .DELTA.P const., P$_{max}$ const., and P$_{min}$ const.. To measure the opening load, the direct measuring method which measures the distance between two micro indentations 20 .mu.m behind crack tip and the elastic compliance method were used. As the results of present study, the following conclusions are obtained. First, using the direct measuring method, it was possible to measure the COD at any location behind crack tip. Second, as measuring point becomes farther from crack tip, opening load becomes smaller. Third, the acceleration of da/dN near notch is due to crack opening behavior. Finally, opening ratio is a function of not only R, but .DELTA.K.K.K.

STUDY ON DYNAMIC BEHAVIOUR IN 3PB DUCTILE STEEL SPECIMEN APPLIED BY THE IMPACT LOAD

  • HAN M. S.;CHO J. U.;BERGMARK A.
    • International Journal of Automotive Technology
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    • v.6 no.3
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    • pp.229-234
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    • 2005
  • The dynamic crack growth in ductile steel is investigated by means of the impact loaded 3 point bending (3PB) specimens. Results from experiments and numerical simulations are compared to each other. A modified 3PB specimen designed with the reduced width at its ends has been developed in order to avoid the initial compressive loading of the crack tip and also to avoid the uncertain boundary conditions at the impact heads. Numerical simulations of the experiments are made by using a finite element method (FEM) code, ABAQUS. The high speed photography is used to obtain the crack growth and the data of the crack tip opening displacement (CTOD). The direct measurements of the relative rotations of two specimen halves are made by using the Moire interference pattern.

Microscopic fracture criterion of crack growth initiation (연성 균열성장 개시의 미시적 파괴조건)

  • 구인회
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.5
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    • pp.740-745
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    • 1987
  • For the prediction of the crack growth initiation from a blunt notch or a precrack in a prestrained material under plane strain tension and small-scale yielding conditions, a microscopic fracture criterion is proposed in terms of the crack tip opening displacement(COD) needed for the attainment of fracture strain at a microstructural distance. Smooth blunting of a crack tip with an initial root radius is assumed, and strain distributions on the crack-line axis are calculated at each deformation stage until the distributions against an original distance normalized to the COD are insensitive to an initial root radius. This case of no initial-root-radius effect is taken as for a sharp crack tip, on which the criterion is applied to determine the characteristic length of material from a critical COD for a fatigue-precracked specimen. The predicted COD at the fracture initiation from a crack with an initial root radius or a prestraining shows reasonable agreement with experimental values.

Finite Element Analysis of Fatigue Crack Closure under Plane Strain State (평면변형률 상태 하에서 유한요소해석을 이용한 균열닫힘 거동 예측 및 평가)

  • Lee, Hak-Joo;Song, Ji-Ho;Kang, Jae-Youn
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.202-207
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    • 2004
  • An elastic-plastic finite element analysis of fatigue crack closure is performed for plane strain conditions. The stabilization behavior of crack opening level and the effect of mesh size on the crack opening stress are investigated. In order to obtain a stabilized crack opening level for plane strain conditions, the crack must be advanced through approximately four times the initial monotonic plastic zone. The crack opening load tends to increase with the decrease of mesh size. The mesh size nearly equal to the theoretical plane strain cyclic plastic zone size may provide reasonable numerical results comparable with experimental crack opening data. The crack opening behavior is influenced by the crack growth increment and discontinuous opening behavior is observed. A procedure to predict the most appropriate mesh size for different stress ratio is suggested. Crack opening loads predicted by the FE analysis based on the procedure suggested resulted in good agreement with experimental ones within the error of 5 %. Effect of the distance behind the crack tip on the crack opening load determined by the ASTM compliance offset method based on the load-displacement relation and by the rotational offset method based on the load-differential displacement relation is investigated. Optimal gage location and method to determine the crack opening load is suggested.

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