• Title/Summary/Keyword: effective crack model

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Inherent Damage Zone Model for fatigue Strength Evaluation of Cracks and Notches (영역피해모델에 의한 균열 및 노치의 피로강도평가)

  • Kim Won-Beom;Paik Jeom-Kee;Fujimoto Yukio
    • Journal of the Society of Naval Architects of Korea
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    • v.43 no.4 s.148
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    • pp.494-503
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    • 2006
  • Inherent damage zone model is presented to explain the fatigue properties near the fatigue limit and the crack growth threshold consistently Inherent damage zone model assumes that the stress at a point which is located at a small distance, $r_0$, an inherent length of the material that represents the size of effective damage zone, from the crack initiation position governs the fatigue characteristics regardless of the geometric configuration of the specimen; smooth specimen, notched specimen or cracked specimens with short and long crack length. A special feature of the paper is using the exact stress distributions of notched and cracked specimens at the strength evaluations. Analytical elastic solutions by Neuber and Westergaard are employed for this purpose Relationship between fatigue limit of smooth specimen and threshold stress of cracked specimen, occurrence condition of non-propagating crack at the root of elliptic notch and circular hole and relationship between stress concentration factor and fatigue notch factor are discussed quantitatively based on the proposed model.

Analysis on the Fatigue Crack Propagation of Weld Toe Crack through Residual Stress Field (잔류응력장을 전파하는 용접 토우부 균열의 전파해석)

  • 김유일;전유철;강중규;한종만;한민구
    • Journal of Welding and Joining
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    • v.18 no.5
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    • pp.33-40
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    • 2000
  • Fatigue crack propagation life of weld toe crack through residual stress field was estimated with Elber's crack concept. Propagation of weld toe crack is heavily influenced by residual stress caused by welding process, so it is essential to take into account the effect of residual stress on the propagation life of weld toe crack. Fatigue crack at transverse and longitudinal weld toe was studied respectively, which represent typical weld joint in ship structure. Numerical and experimental studies are performed for both cases. Residual stress near weldment was estimated through nonlinear thermo-elasto-plastic finite element method, and residual stress intensity factor with Glinka's weight function method. Effective stress intensity factor was calculated with Newman-Forman-de Koning-Henriksen equation which is based on Dugdale strip yield model in estimating crack closure level U at different stress ratio. Calculated crack propagation life coincided well with experimental results.

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Development of Analytical Simulation Model for Fatigue Crack Propagation: Numerical Examples (균열개폐구 거동을 고려한 피로균열전파 해석 모델을 개발: 수치계산)

  • C.W. Kim;I.S. Nho;K.S. Do;B.C. Shin
    • Journal of the Society of Naval Architects of Korea
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    • v.38 no.3
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    • pp.84-92
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    • 2001
  • The development of a crack propagation simulation model in consideration of crack closure behavior was discussed in the accompanying paper by the authors, Kim et al(2001). To verify crack propagation behavior under variable amplitude loading based on the model, calculations of effective crack driving stresses and corresponding propagation lives are carried out for load spectrums with various stress ratios, overload and underload. Good agreement is confirmed between test results in the literatures and simulations using the developed model.

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A Study on Fatigue Crack Growth Model Considering High Mean Loading Effects Based on Structural Stress (고평균하중을 고려한 구조응력 기반의 피로균열성장 모델에 관한 연구)

  • Kim, Jong-Sung;Kim, Cheol;Jin, Tae-Eun;Dong, P.
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.220-225
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    • 2004
  • The mesh-insensitive structural stress procedure by Dong is modified to apply to the welded joints with local thickness variation and inignorable shear/normal stresses along local discontinuity surface. In order to make use of the structural stress based K solution for fatigue correlation of welded joints, a proper crack growth model needs to be developed. There exist some significant discrepancies in inferring the slope or crack growth exponent in the conventional Paris law regime. Two-stage crack growth model was not considered since its applications are focused upon the fatigue behavior in welded joints in which the load ratio effects are considered negligible. In this paper, a two-stage crack growth law considering high mean loading is proposed and proven to be effective in unifying the so-called anomalous short crack growth data.

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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 the Microscopic Model for Fatigue Crack Closure Behavior (피로균열 개폐구거동의 미시적 모델에 관한 연구)

  • O, Se-Uk;Gang, Sang-Hun
    • Journal of Ocean Engineering and Technology
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    • v.4 no.1
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    • pp.81-87
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    • 1990
  • Fatigue crack closure levels based on the behavior of residual displacements on crack surfaces, are determined analytically according to the microscopic crack closure mechanisms, i.e., whether the first contact of crack surfaces takes place at the very crack tip or on the surfaces near the tip. The comparative analysis on the two models is carried out empirically by the constant amplitude fatigue tests on 2024-T3 aluminum alloy plate, and it shows that under negative stress ratio, the case of the first contact at crack tip gives better agreement with the experimental results than the other.

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A Study on the Microscopic Model for Fatigue Crack Closure Behavior (피로균열 개폐구거동의 미시적 모델에 관한 연구)

  • O, Se-Uk;Gang, Sang-Hun
    • Journal of Ocean Engineering and Technology
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    • v.4 no.1
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    • pp.87-87
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    • 1990
  • Fatigue crack closure levels based on the behavior of residual displacements on crack surfaces, are determined analytically according to the microscopic crack closure mechanisms, i.e., whether the first contact of crack surfaces takes place at the very crack tip or on the surfaces near the tip. The comparative analysis on the two models is carried out empirically by the constant amplitude fatigue tests on 2024-T3 aluminum alloy plate, and it shows that under negative stress ratio, the case of the first contact at crack tip gives better agreement with the experimental results than the other.

A Finite Element Method for Localized Failure Analysis of Concrete (콘크리트에서 국소화된 파괴해석을 위한 유한요소법)

  • 송하원;김형운;우승민
    • Proceedings of the Korea Concrete Institute Conference
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    • 1999.04a
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    • pp.233-238
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    • 1999
  • Localized failure analysis of concrete structures can be carried out effectively by modeling fracture process zone of concrete during crack initiation and propagation. But, the analysis techniques are still insufficient for crack modeling because of difficulties in numerical analysis procedure which describe progressive crack. In this paper, a finite element with embedded displacement discontinuity is introduced to remove the difficulties of remeshing for crack propagation in discrete crack model during progressive failure analysis of concrete structures. The performance of this so-called embedded crack approach for concrete failure analysis is verified by several analysis examples. The analysis results show that the embedded crack approach retains mesh size objectivity and can simulate localized failure under mixed mode loading. It can be concluded that the embedded crack approach cab be an effective alternate to the smeared and discrete crack approaches.

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Damage constitutive model of brittle rock considering the compaction of crack

  • Gu, Qingheng;Ning, Jianguo;Tan, Yunliang;Liu, Xuesheng;Ma, Qing;Xu, Qiang
    • Geomechanics and Engineering
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    • v.15 no.5
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    • pp.1081-1089
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    • 2018
  • The deformation and strength of brittle rocks are significantly influenced by the crack closure behavior. The relationship between the strength and deformation of rocks under uniaxial loading is the foundation for design and assessment of such scenarios. The concept of relative crack closure strain was proposed to describe the influence of the crack closure behavior on the deformation and strength of rocks. Considering the crack compaction effect, a new damage constitutive model was developed based on accumulated AE counts. First, a damage variable based on the accumulated AE counts was introduced, and the damage evolution equations for the four types of brittle rocks were then derived. Second, a compaction coefficient was proposed to describe the compaction degree and a correction factor was proposed to correct the error in the effective elastic modulus instead of the elastic modulus of the rock without new damage. Finally, the compaction coefficient and correction factor were used to modify the damage constitutive model obtained using the Lemaitre strain equivalence hypothesis. The fitted results of the models were then compared with the experimental data. The results showed that the uniaxial compressive strength and effective elastic modulus decrease with an increase in the relative crack closure strain. The values of the damage variables increase exponentially with strains. The modified damage constitutive equation can be used to more accurately describe the compressive deformation (particularly the compaction stage) of the four types of brittle rocks, with a coefficient of determination greater than 0.9.

A Study on the Construction Method for the Thermal Crack Control of Underground Box Structure (지하박스구조물 온도균열제어를 위한 시공방안연구)

  • 오병환;유성원;김의성;전세진
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.04a
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    • pp.205-210
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    • 1998
  • The strength and dimension of recent constructed subway box structures are increased considerably. These increases are resulting in much initial cracks by hydration heat and thermal stress. According to previous studies, decrease of cement amount by using superplasticizer and L/H value is the best way to eliminate hydration heat and stress. The analyses using finite element model were performed. By the result of analysis, the use of superplasticizer and the decrease of the change of longitudinal placing length are proved to be more effective for elimination thermal cracks. By ACI Code, for longitudinal placing length 25 m, the amount of wall temperature reinforcement is always lack despite of concrete mix proportion. With analytical result and the inducing crack joint, the in-site test were performed and the analytical results proved to be effective. However, the inducing crack joint is not effective if it is a small size.

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