Probabilistic Evaluation of Fatigue Life in Short Cracks Range on the Grounds of Linear Fracture Mechanics

Kocańda, D.; Kocańda, S.; Tomaszek, H.

doi:10.1016/b978-008042268-8/50084-8

Cited by 4 publications

(2 citation statements)

References 3 publications

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“…The concept of modeling of surface short and long cracks originating from the notch root is based on the previous authors' works devoted to the prediction of the behavior of short and long cracks in smooth specimens [18]. In the proposed model, the expressions of linear elastic fracture mechanics are applied in the entire range of crack growth and the fatigue process is regarded as stochastic.…”

Section: Probabilistic Approach To the Description Of The Growth Of Smentioning

confidence: 99%

Deterministic and probabilistic description of fatigu short-crack growth in notched members

Kocańda¹,

Kocańda²,

Tomaszek³

1998

Mater Sci

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We suggest deterministic and probabilistic methods for the prediction of crack growth in notched members taking into account the regularities of short-crack growth and simplifying the procedure of prediction. In the proposed deterministic approach, it is assumed that the stress concentration factor exponentially decreases with the distance from the notch root in the direction of the short crack. The equations of crack propagation both on the surface and into the depth of the material are obtained on the basis of the Paris formula. The probabilistic method is based on linear fracture mechanics and the assumption that fatigue crack growth is a stochastic process. The core of this concept is formed by a difference equation reflecting the dynamics of fatigue changes and a Paris-type formula. In both methods, we deduce the expressions allowing one to estimate the fatigue life of short and long cracks. The validity of the presented approaches is demonstrated by the description of the behavior of short cracks in notched specimens made of a medium-carbon steel.

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Section: Probabilistic Approach To the Description Of The Growth Of Smentioning

confidence: 99%

Deterministic and probabilistic description of fatigu short-crack growth in notched members

Kocańda¹,

Kocańda²,

Tomaszek³

1998

Mater Sci

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“…This idea was formulated by Tomaszek and developed in successive publications [10,11]. Short crack growth in normalized and laser-hardened medium carbon steels has also been described from a fracture analysis involving linear fracture mechanics, which takes into consideration the above-mentioned equations [12,13].…”

Section: Introductionmentioning

confidence: 99%

Description of Short Fatigue Crack Growth in a Shot=peened Medium Carbon Steel

Koca

Tomaszek

1998

Fatigue Fract Eng Mat Struct

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A probabilistic and simplified approach to the description of short crack growth in shot‐peened, medium carbon steel specimens is presented. In order to model the dynamics of short crack growth, a difference equation has been formulated with coefficients originating from a two‐parameter Weibull distribution of crack advance. The Fokker–Planck partial differential equation is the source of a solution based on the form of a probability density function of crack length. The resolved function allows one to calculate the expected crack length, crack growth rate and standard deviation of crack length. The viability of the probabilistic method has been verified using experimental data gained for shot‐peened specimens fatigued under reversed torsion.

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Probabilistic Description of Fatigue Crack Growth in a Titanium Alloy Notched Member

Kocańda

Tomaszek

2001

Notch Effects in Fatigue and Fracture

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Probabilistic Evaluation of Fatigue Life in Short Cracks Range on the Grounds of Linear Fracture Mechanics

Cited by 4 publications

References 3 publications

Deterministic and probabilistic description of fatigu short-crack growth in notched members

Deterministic and probabilistic description of fatigu short-crack growth in notched members

Description of Short Fatigue Crack Growth in a Shot=peened Medium Carbon Steel

Probabilistic Description of Fatigue Crack Growth in a Titanium Alloy Notched Member

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