• 제목/요약/키워드: Effective crack length model

검색결과 21건 처리시간 0.021초

Time domain identification of multiple cracks in a beam

  • He, Z.Y.;Lu, Z.R.
    • Structural Engineering and Mechanics
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    • 제35권6호
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    • pp.773-789
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    • 2010
  • It is well known that the analytical vibration characteristic of a cracked beam depends largely on the crack model. In the forward analysis, an improved and simplified approach in modeling discrete open cracks in beams is presented. The effective length of the crack zone on both sides of a crack with stiffness reduction is formulated in terms of the crack depth. Both free and forced vibrations of cracked beams are studied in this paper and the results from the proposed modified crack model and other existing models are compared. The modified crack model gives very accurate predictions in the modal frequencies and time responses of the beams particularly with overlaps in the effective lengths with reduced stiffness. In the inverse analysis, the response sensitivity with respect to damage parameters (the location and depth of crack, etc.) is derived. And the dynamic response sensitivity is used to update the damage parameters. The identified results from both numerical simulations and experiment work illustrate the effectiveness of the proposed method.

Si3N4/SiC 복합 세라믹의 온도에 따른 크랙 힐링 관찰과 확산거동 (Crack Healing Behavior with Healing Temperature in Si3N4/SiC Composite Ceramics)

  • 송오성;안도 코토지;다카하시 코지;나가오 와타루;류지호
    • 한국재료학회지
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    • 제15권12호
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    • pp.780-785
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    • 2005
  • To investigate the microcrack healing behavior of $Si_3N_4-20wt\%SiC-8wt\%Y_2O_3$ composite ceramics(SNCY8), we observe the crack length evolution a! the time of 20, 40, 60 minutes with in-situ optical microscopy by varying healing temperature of $800\~1200^{\circ}C$. Crack healing obviously occurred as heating temperature and time increased. We proposed a simple model of effective diffusion based on the crack length evolution with healing condition, and determined the effective diffusion coefficient as Our result implies that we may predict the healing ability quantitatively with temperature and time in structural ceramics through the effective diffusion coefficient model.

Size-effect of fracture parameters for crack propagation in concrete: a comparative study

  • Kumar, Shailendra;Barai, S.V.
    • Computers and Concrete
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    • 제9권1호
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    • pp.1-19
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    • 2012
  • The size-effect study of various fracture parameters obtained from two parameter fracture model, effective crack model, double-K fracture model and double-G fracture model is presented in the paper. Fictitious crack model (FCM) for three-point bend test geometry for cracked concrete beam of laboratory size range 100-400 mm is developed and the different fracture parameters from size effect model, effective crack model, double-K fracture model and double-G fracture model are evaluated using the input data obtained from FCM. In addition, the fracture parameters of two parameter fracture model are obtained using the mathematical coefficients available in literature. From the study it is concluded that the fracture parameters obtained from various nonlinear fracture models including the double-K and double-G fracture models are influenced by the specimen size. These fracture parameters maintain some definite interrelationship depending upon the specimen size and relative size of initial notch length.

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

  • 김원범;백점기;승본유기부
    • 대한조선학회논문집
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    • 제43권4호
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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.

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

  • 오병환;유성원;김의성;전세진
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 봄 학술발표회 논문집(I)
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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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손상역학에 근거한 파괴시편의 균열길이와 두께 영향 평가 (Evaluation of Crack Length and Thickness Effects of Fracture Specimen using Damage Mechanics)

  • 장윤석;이태린;최재붕;석창성;김영진
    • 한국정밀공학회지
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    • 제23권4호
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    • pp.116-123
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    • 2006
  • During the last two decades, many researchers investigated influences of stress triaxiality on ductile fracture for various specimens and structures. With respect to a transferability issue, the local approach reflecting micro-mechanical specifics is one of effective methods to predict constraint effects. In this paper, the applicability of the local approach was examined through a series of finite element analyses incorporating modified GTN (Gurson-Tvergaard-Needleman) and Rousselier models as well as fracture toughness tests. To achieve this goal, fracture resistance (J-R) curves of several types of compact tension (CT) specimens with various crack length, with various thickness and with/without 20% side- grooves were estimated. Then. the constraint effects were examined by comparing the numerically estimated J-R curves with experimentally determined ones. The assessment results showed that the damage models might be used as useful tool for fracture toughness estimation and both the crack length and thickness effects should be considered for realistic structural integrity evaluation.

포아슨 비의 변화를 고려한 수정 ECM 모델 개발 및 아스팔트 콘크리트의 저온 특성 연구 (Development of Modified Effective Crack Model to Take into Account for variation of Poisson's ratio and Low-Temperature Properties of Asphalt Concrete)

  • 권승준;도영수;김광우
    • 한국도로학회논문집
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    • 제3권1호
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    • pp.185-197
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    • 2001
  • 본 연구는 온도에 따라 특성이 변하는 아스팔트 콘크리트의 파괴인성을 규명하기 위하여 기존의 유효균열 모델을 수정하는 연구를 다루고 있다. 본래의 ECM모델은 콘크리트와 같은 고체에 적용되도록 개발되어 재료의 포아슨 비를 고려하지 않는다. 하지만 아스팔트 콘크리트는 온도변화에 민감하여 온도에 따라 포아슨 비가 변화하므로 다양한 온도하에서 정확한 파괴 특성을 알기 위해서는 포아슨 비가 고려되어져야 한다. 3개의 개질아스팔트 결합재를 포함한 4가지 결합재를 사용하여 밀입도 아스팔트 혼합물을 제조하여 초기균열 보에 대한 3점 휨 시험을 $-5^{\circ}C$부터 $-35^{\circ}C$까지에서 수행하였다. 탄성계수, 휨강도 및 파괴인성을 시험을 통하여 구하였다. 시험결과 포아슨비가 고려되는 수정 ECM 공식을 사용하므로서 보다 정확한 값들을 얻을 수 있었다. 폴리머 개질 아스팔트 혼합물이 일반아스팔트 혼합물에 비하여 더 낮은 저온하에서 더 높은 강성과 파괴인성을 유지함을 알 수 있었다.

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암석거동의 수치해석적 연구를 위한 균열모형의 적용 (Application of Mechanical Crack Model to Numerical Study of Rock Mass Behavior)

  • 박도현;전석원
    • 한국터널지하공간학회 논문집
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    • 제2권2호
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    • pp.72-85
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    • 2000
  • 암석은 지질학적 생성과정으로 인해 잠재적으로 많은 구조적 결함을 내포하고 있는 재료이다. 이러한 구조적 결함으로 인해 압축하중을 받고 있는 암석의 변형거동 및 파괴는 비선형적이다. 지금까지의 연구들에서는 암석의 비선형 거동을 모사하기 위해 균열모형, 즉 활주균열모형 (Sliding crack model) 과 전단균열모형 (Shear crack model) 을 사용하였다. 이 연구들에서는 암석의 비선형 응력-변형률 곡선과 균열성장으로 인해 발생되는 유효탄성정수들 ($E_1$, $E_2$, ${\nu}_1$, ${\nu}_2$, $G_2$) 의 변화와 같은 여러 가지 암석 거동을 모사하였다 (Kemeny, 1993; Jeon, 1996, 1998). 대부분의 이러한 연구들은 주로 균열모형의 암석거동의 적용에 대한 타당성을 검증하는데 그쳤으며 지하공간이나 사면설계 등의 실제적인 수치해석을 목적으로 균열모형을 적용한 연구는 그다지 많지 않다. 본 연구에서는 암석의 비선형 응력 변형률 곡선을 모사함으로써 균열모형의 암석에의 적용에 대한 타당성을 검증하며 실제적인 수치해석, 즉 상용되고 있는 유한요소해석 프로그램에 균열모형을 적용하였다.

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A novel method for generation and prediction of crack propagation in gravity dams

  • Zhang, Kefan;Lu, Fangyun;Peng, Yong;Li, Xiangyu
    • Structural Engineering and Mechanics
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    • 제81권6호
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    • pp.665-675
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    • 2022
  • The safety problems of giant hydraulic structures such as dams caused by terrorist attacks, earthquakes, and wars often have an important impact on a country's economy and people's livelihood. For the national defense department, timely and effective assessment of damage to or impending damage to dams and other structures is an important issue related to the safety of people's lives and property. In the field of damage assessment and vulnerability analysis, it is usually necessary to give the damage assessment results within a few minutes to determine the physical damage (crack length, crater size, etc.) and functional damage (decreased power generation capacity, dam stability descent, etc.), so that other defense and security departments can take corresponding measures to control potential other hazards. Although traditional numerical calculation methods can accurately calculate the crack length and crater size under certain combat conditions, it usually takes a long time and is not suitable for rapid damage assessment. In order to solve similar problems, this article combines simulation calculation methods with machine learning technology interdisciplinary. First, the common concrete gravity dam shape was selected as the simulation calculation object, and XFEM (Extended Finite Element Method) was used to simulate and calculate 19 cracks with different initial positions. Then, an LSTM (Long-Short Term Memory) machine learning model was established. 15 crack paths were selected as the training set and others were set for test. At last, the LSTM model was trained by the training set, and the prediction results on the crack path were compared with the test set. The results show that this method can be used to predict the crack propagation path rapidly and accurately. In general, this article explores the application of machine learning related technologies in the field of mechanics. It has broad application prospects in the fields of damage assessment and vulnerability analysis.

Study on fracture characteristics of reinforced concrete wedge splitting tests

  • HU, Shaowei;XU, Aiqing;HU, Xin;YIN, Yangyang
    • Computers and Concrete
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    • 제18권3호
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    • pp.337-354
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    • 2016
  • To study the influence on fracture properties of reinforced concrete wedge splitting test specimens by the addition of reinforcement, and the restriction of steel bars on crack propagation, 7 groups reinforced concrete specimens of different reinforcement position and 1 group plain concrete specimens with the same size factors were designed and constructed for the tests. Based on the double-K fracture criterion and tests, fracture toughness calculation model which was suitable for reinforced concrete wedge splitting tensile specimens has been obtained. The results show that: the value of initial craking load Pini and unstable fracture load Pun decreases gradually with the distance of reinforcement away from specimens's top. Compared with plain concrete specimens, addition of steel bar can reduce the value of initial fracture toughness KIini, but significantly increase the value of the critical effective crack length ac and unstable fracture toughness KIun. For tensional concrete member, the effect of anti-cracking by reinforcement was mainly acted after cracking, the best function of preventing fracture initiation was when the steel bar was placed in the middle of the crack, and when the reinforcement was across the crack and located away from crack tip, it plays the best role in inhibiting the extension of crack.