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On a model of small fatigue cracks

Engineering Fracture Mechanics, 1987
Abstract A simple model is proposed, which allows one to explain and describe quantitatively the peculiarities of the kinetics of small fatigue cracks growth. The characteristics of material microstructure are introduced into consideration explicitly as well as those of the fields of microstress induced by the material microstructure.
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Modeling Environment-Assisted Fatigue Crack Propagation

2008
Predicting fatigue crack growth in metals under random loadings remains difficult since fatigue crack growth is very sensitive to load history. Load history effect in fatigue is known for decades to stem from plastic deformation in the vicinity of the crack tip.
Ruiz-Sabariego, Juan, Pommier, Sylvie
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A probabilistic model for fatigue crack growth

Engineering Fracture Mechanics, 1992
Abstract A probabilistic model for predicting fatigue crack growth rate and cycles to reach a given crack length is presented. The stochastic characterizations of crack growth parameters c and m in the Paris-Erdogan and Forman laws are investigated based upon crack growth experiments.
Min Liao, Qing-Xionq Yang
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Modeling Fatigue Crack Growth

2009
Abstract Understanding fatigue crack growth is critical for the safe operation of many structural components. This article reviews the standard fracture mechanics and methods to determine the crack growth rate for a material and loading condition experimentally.
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Modelling of Fatigue Crack Growth

1989
Fatigue crack growth is presently being treated almost exclusively within the theoretical framework of fracture mechanics. This trend is following the pioneering work of Paris and his co-workers, which date back some 25 years (1). However, at that time several other parameters than K, the stress intensity factor, were being used to correlate fatigue ...
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Validation of a peridynamic model for fatigue cracking

Engineering Fracture Mechanics, 2016
Abstract Fatigue cracking in homogeneous and in composite materials is studied using a peridynamic model. We introduce a set of critical damage factors that improve stability and efficiency of a recently introduced peridynamic model for fatigue cracking.
Guanfeng Zhang   +4 more
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Micromechanical modeling of short fatigue cracks

Current Opinion in Solid State and Materials Science, 2014
Abstract This paper gives an overview over the micromechanical modeling approaches of short fatigue cracks. Until now many approaches have been presented in the literature, which differ significantly in their degree of complexity ranging from simple empirical or analytical models to complex models based on numerical solutions.
H.-J. Christ, C.-P. Fritzen, P. Köster
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Markov models for fatigue crack growth

Engineering Fracture Mechanics, 1987
Abstract A review of several statistical and probabilistic approaches to the problem of fatigue crack growth shows that many Markov models are equivalent in that they express the probability density of the crack length at time t as solutions of the Kolmogorov, or Fokker-Plank, equations.
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One model of fatigue crack growth

Journal of Applied Mechanics and Technical Physics, 2009
A model for crack growth is proposed based on studies of the variation in the curvature radius at the crack tip during cyclic loading. Relations are obtained between mechanical material characteristics, crack geometry, and the rate of crack growth in a structure under cyclic loading.
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Stochastic Modeling of Fatigue Crack Propagation

1985
Deterministic fatigue crack propagation models, such as the Paris-Erdogan model, cannot account for random variability of time-histories observed in experiments. Therefore, more realistic models are proposed in which a random process is introduced as a multiplicative factor to deterministic laws.
Y. K. Lin, W. F. Wu, J. N. Yang
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