• 제목/요약/키워드: Paris Law

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A new Bayesian approach to derive Paris' law parameters from S-N curve data

  • Prabhu, Sreehari Ramachandra;Lee, Young-Joo;Park, Yeun Chul
    • Structural Engineering and Mechanics
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    • 제69권4호
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    • pp.361-369
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    • 2019
  • The determination of Paris' law parameters based on crack growth experiments is an important procedure of fatigue life assessment. However, it is a challenging task because it involves various sources of uncertainty. This paper proposes a novel probabilistic method, termed the S-N Paris law (SNPL) method, to quantify the uncertainties underlying the Paris' law parameters, by finding the best estimates of their statistical parameters from the S-N curve data using a Bayesian approach. Through a series of steps, the SNPL method determines the statistical parameters (e.g., mean and standard deviation) of the Paris' law parameters that will maximize the likelihood of observing the given S-N data. Because the SNPL method is based on a Bayesian approach, the prior statistical parameters can be updated when additional S-N test data are available. Thus, information on the Paris' law parameters can be obtained with greater reliability. The proposed method is tested by applying it to S-N curves of 40H steel and 20G steel, and the corresponding analysis results are in good agreement with the experimental observations.

피로균열성장의 유한요소 시뮬레이션: Paris 법칙의 지수 m의 결정 (Finite Element Simulation of Fatigue Crack Growth: Determination of Exponent m in Paris Law)

  • 주석재;유총호
    • 대한기계학회논문집A
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    • 제36권7호
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    • pp.713-721
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    • 2012
  • 피로균열성장을 유한요소 시뮬레이션하였다. 인장시험으로 얻는 기계적 성질만을 사용하여 피로균열성장거동을 예측하려고 하였다. 유한요소해석 결과 균열선단 부근 절점의 변위의 변화를 살펴 임계균열개구변위를 결정하였다. 균열선단 절점을 분리하여 균열성장을 시뮬레이션하였다. Paris 법칙의 지수를 결정하여 이미 발표된 값과 비교하였다. 균열닫힘을 고려한 유효 응력확대계수에 관하여 그렸을 때 더 일관성이 있는 결과를 얻었다.

Stable and Unstable Crack Growth in Chromium Pre-alloyed Steel

  • Gerosa, Riccardo;Rivolta, Barbara;Tavasci, Adriano;Silva, Giuseppe;Bergmark, Anders
    • 한국분말야금학회:학술대회논문집
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    • 한국분말야금학회 2006년도 Extended Abstracts of 2006 POWDER METALLURGY World Congress Part 1
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    • pp.138-139
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    • 2006
  • Sintered steels are materials characterized by residual porosity, whose dimension and morphology strongly affect the fatigue crack growth behaviour of the material. Prismatic specimens were pressed at $7.0\;g/cm^3$ from Astaloy CrM powder and sintered varying the sintering temperature and the cooling rate. Optical observations allowed to evaluate the dimensions and the morphology of the porosity and the microstructural characteristics. Fatigue tests were performed to investigate the threshold zone and to calculate the Paris law. Moreover $K_{Ic}$ tests were performed to complete the investigation. Both on fatigue and $K_{Ic}$ samples a fractographic analysis was carried out to investigate the crack path and the fracture surface features. The results show that the Paris law crack growth exponent is around 6.0 for $1120^{\circ}C$ sintered and around 4.7 for $1250^{\circ}C$ sintered materials. The same dependence to process parameters is not found for $K_{Ith}$.

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Identifiability of Ludwik's law parameters depending on the sample geometry via inverse identification procedure

  • Zaplatic, Andrija;Tomicevic, Zvonimir;Cakmak, Damjan;Hild, Francois
    • Coupled systems mechanics
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    • 제11권2호
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    • pp.133-149
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    • 2022
  • The accurate prediction of elastoplasticity under prescribed workloads is essential in the optimization of engineering structures. Mechanical experiments are carried out with the goal of obtaining reliable sets of material parameters for a chosen constitutive law via inverse identification. In this work, two sample geometries made of high strength steel plates were evaluated to determine the optimal configuration for the identification of Ludwik's nonlinear isotropic hardening law. Finite element model updating(FEMU) was used to calibrate the material parameters. FEMU computes the parameter changes based on the Hessian matrix, and the sensitivity fields that report changes of computed fields with respect to material parameter changes. A sensitivity analysis was performed to determine the influence of the sample geometry on parameter identifiability. It was concluded that the sample with thinned gauge region with a large curvature radius provided more reliable material parameters.

피로하중을 받는 Fiberite 934/T300 복합재료로 만들어진 연소관의 미세균열 연구 (Microcracking of Motor Case with Fiberite 934/T300 Laminates under fatigue Loads)

  • 김형원;김성은
    • 한국추진공학회지
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    • 제1권1호
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    • pp.82-88
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    • 1997
  • 복합재료의 미세균열을 연구하는데 변분이론을 이용한 에너지 방출율 이론이 쓰여졌다. Fiberite 934/T300 복합재료로 만들어진 압력용기에 피로하중이 가해졌을때 기계적 성질이 어떻게 변하는가에 이 논문의 연구 목적이 있다. 수정된 Paris-Law를 이용하여 에너지 방출율과 미세균열 성장률에 대한 master-curve를 그리면 어떤 피로하중 하에서도 복합재료의 미세균열에 관한 성장율을 예측할 수 있다.

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판재 내의 구멍 사이를 통과하는 피로크랙 전파 거동 (The Behavior of Fatigue Crack Propagation between Holes in Panel)

  • 조재웅;이억섭;김상철
    • 한국정밀공학회지
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    • 제7권2호
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    • pp.39-46
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    • 1990
  • In this study, the mechanical behavious of a center crack which propagates between two holes in a panel are investigated. It is confirmed experimentally and analytically that a center crack stops and a small crack initiates from holes and propagates to fracture because of the compressive stress arising along the path of the fatigue crack propagation. Futhermore, it is noted that regardless of the configuration of the crack and the structure, Paris' law can be applied to the fatigue crack propagation.

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피로균열전파저항의 변동성에 의한 균열전파율의 해석 (An Analysis of Crack Growth Rate Due to Variation of Fatigue Crack Growth Resistance)

  • 김선진
    • 대한기계학회논문집A
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    • 제23권7호
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    • pp.1139-1146
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    • 1999
  • Reliability analysis of structures based on fracture mechanics requires knowledge on statistical characteristics of the parameter C and m in the fatigue crack growth law, $da/dN=C({\Delta}K)^m$. The purpose of the present study is to investigate if it is possible to predict fatigue crack growth rate by only the fluctuation of the parameter C. In this study, Paris-Erdogan law is adopted, where the author treat the parameter C as random and m as constant. The fluctuation of crack growth rate is assumed only due to the parameter C. The growth resistance coefficient of material to fatigue crack growth (Z=1/C) was treated as a spatial stochastic process, which varies randomly on the crack path. The theoretical crack growth rates at various stress intensity factor range are discussed. Constant ${\Delta}K$ fatigue crack growth tests were performed on the structural steel, SM45C. The experimental data were analyzed to determine the autocorrelation function and Weibull distributions of the fatigue crack growth resistance. And also, the effect of the parameter m of Paris' law due to variation of fatigue crack growth resistance was discussed.

Revising the Korean Arbitration Act From a Civil Law Jurisdiction Perspective: The Example of the French Arbitration Reform

  • Ahdab, Jalal El
    • 한국중재학회지:중재연구
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    • 제24권3호
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    • pp.125-169
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    • 2014
  • In France, arbitration, both domestic and international, has recently been subjected to a major reform. This article discusses the content of the 2011 reform and its aftermath, while putting into perspective the current arbitration act in South Korea, an arbitration-friendly jurisdiction that contemplates reforming its own law. The two legal systems are characterized by their concern for efficiency and rationalization of the arbitration proceedings, through the codification of essential principles previously established by case law and through the promotion of the independence of this ADR vis-$\grave{a}$-vis state courts. The efficiency consideration is strengthened at every stage of the proceedings: from the arbitration agreement often considered valid and rarely challenged, through the proceedings for annulment, recognition and enforcement of the award, up to the judicial assistance of the French supporting judge towards the actual arbitral proceedings. Finally, new concerns are emerging: the increase of transparency and the arbitrability of disputes in some uncertain fields of law.

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Remaining life prediction of concrete structural components accounting for tension softening and size effects under fatigue loading

  • Murthy, A. Rama Chandra;Palani, G.S.;Iyer, Nagesh R.
    • Structural Engineering and Mechanics
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    • 제32권3호
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    • pp.459-475
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    • 2009
  • This paper presents analytical methodologies for remaining life prediction of plain concrete structural components considering tension softening and size effects. Non-linear fracture mechanics principles (NLFM) have been used for crack growth analysis and remaining life prediction. Various tension softening models such as linear, bi-linear, tri-linear, exponential and power curve have been presented with appropriate expressions. Size effect has been accounted for by modifying the Paris law, leading to a size adjusted Paris law, which gives crack length increment per cycle as a power function of the amplitude of a size adjusted stress intensity factor (SIF). Details of tension softening effects and size effect in the computation of SIF and remaining life prediction have been presented. Numerical studies have been conducted on three point bending concrete beams under constant amplitude loading. The predicted remaining life values with the combination of tension softening & size effects are in close agreement with the corresponding experimental values available in the literature for all the tension softening models.

부식을 고려한 항공기재료의 부식피로수명예측 연구 (A Study on the Fatigue Life Prediction of Al-2024 with Corrosion)

  • 김위대
    • 한국항공우주학회지
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    • 제35권1호
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    • pp.46-51
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    • 2007
  • 연구는 Al 2024-T3511 재료를 사용하여 피로균열성장 시험을 통한 비부식과 부식에서의 일정진폭 피로균열 전파 테이터(a-N)를 구하여 비부식과 부식에서의 균열진전의 차이를 규명하였다. 또한 비부식과 부식에서의 균열진전 속도 선도(da/dN-${\Delta}K$)를 구하여 Paris의 식을 이용하여 비부식과 부식의 차이를 규명하였다. 그리고 ${\beta}c$(corrosion factor)의 새로운 개념을 도입하여 피로수명을 예측해 본 결과 실험치를 잘 모사할 수 있었다.