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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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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
1989Fatigue 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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A cohesive model of fatigue crack growth
International Journal of Fracture, 2001We investigate the use of cohesive theories of fracture, in conjunction with the explicit resolution of the near-tip plastic fields and the enforcement of closure as a contact constraint, for the purpose of fatigue-life prediction. An important characteristic of the cohesive laws considered here is that they exhibit unloading-reloading hysteresis. This
Nguyen, O. +3 more
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Markov models for fatigue crack growth
Engineering Fracture Mechanics, 1987Abstract 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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Micromechanical modeling of short fatigue cracks
Current Opinion in Solid State and Materials Science, 2014Abstract 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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One model of fatigue crack growth
Journal of Applied Mechanics and Technical Physics, 2009A 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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On the theoretical modeling of fatigue crack growth
Journal of the Mechanics and Physics of Solids, 2018Abstract Although fatigue is by far the most common mode of failure of structural materials, mechanistic understanding is still lacking. For example, the fundamental Paris law which relates the crack growth rate to stress-intensity factor range is still phenomenological and no reliable mechanistic model has been established for a given material or ...
Zahra S. Hosseini +4 more
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Stochastic Modeling of Fatigue Crack Propagation
1985Deterministic 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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A diffusion model for fatigue crack growth
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1979Abstract A stochastic model is proposed for the propagation of a fatigue crack. It is shown that fatigue crack growth can be described by a transition density function, and that the probability of a fatigue crack reaching a critical size can be determined by solving the diffusion equation. The commonly used rate of crack growth, da/dN
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Bayesian Modeling For Fatigue Crack Curves
1992An accurate assessment of the propagation of cracks in materials (“metal fatigue”) is important to the structural design and the development of preventive maintenance programs for many engineering structures, including critical aerospace components. Interest is centered on modeling the lifetime process, N(a), which represents the number of load cycles ...
Panickos N. Palettas +2 more
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