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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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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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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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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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Stochastic modeling of fatigue crack growth
Engineering Fracture Mechanics, 1988Abstract A stochastic model for the variations of a material's resistance to fatigue crack growth along the path of a crack is integrated for fatigue life. The results are compared against a well known data set and against the predictions of a more conventional probabilistic model. It is shown that it is important to model the statistical correlation
Keith Ortiz, Anne S. Kiremidjian
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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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A model for fatigue crack closure
Engineering Fracture Mechanics, 1984Abstract The phenomenon of fatigue crack closure has attracted continued interest over recent years. This paper concerns itself with one aspect of the phenomenon namely the effects of a single asperity on the crack face close to the crack tip and under dominantly plane strain Mode 1 loading conditions.
C.J. Beevers +3 more
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Modeling of Random Fatigue Crack Propagation
Advanced Materials Research, 2013A statistical model is proposed for the analysis of fatigue crack propagation, based on the theory of fracture mechanics and stochastic process. The fatigue growth process is approximated as a diffusive Markov process. The associated backward Fokker-Plank equation and boundary conditions are written, and the distribution of crack propagation time under
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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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Probabilistic Mesomechanical Fatigue Crack Nucleation Model
Journal of Engineering Materials and Technology, 1997A probabilistic mesomechanical crack nucleation model is proposed to link the microstructural material heterogeneities to the statistical scatter in the macro structural response. The macrostructure is modeled as an ensemble of microelements. Cracks nucleate within the microelements and grow from the microelements to final fracture.
R. G. Tryon, T. A. Cruse
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