Probabilistic analysis of crack growth in railway axles using a Gaussian process

He, Jiajie; Cui, Yong; Liu, Yusun; Wang, Hui

doi:10.1177/1687814020936031

Cited by 5 publications

(2 citation statements)

References 10 publications

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“…The failure modes, the probabilistic model of multiple surface cracking are studied in [6]. In the work [7], a data-driven approach based on a Gaussian process for regression is developed to determine the probability of axle failure caused by crack growth in railway axles. In the paper [8], a reliability analysis of fatigue crack growth for a pearlitic steel subject to the growth of multiple cracks is presented.…”

Section: Introductionmentioning

confidence: 99%

Development of the strength statistical characteristics of materials, which takes into account the features of their brittle fracture

Kvit

2022

TAPR

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The object of the research is the algorithm for determining the finding of the most probable, mean value, dispersion and coefficient of failure loading variation of a stochastically defective plate under conditions of comprehensive tensile-compression. The material of the plate is considered as a continuous medium in which evenly distributed defects such as rectilinear cracks that do not interact with each other. It is isotropic and has the same crack resistance. Let’s believe that the plate consists of primary elements, each of which can be weakened by one defect. To predict the strength and failure conditions of plates made of such material, it is natural to use, on the one hand, the results of the theory of limit equilibrium of individual determined defects and their development, and on the other hand, probabilistic-statistical methods that take into account the randomness of defects. This comprehensive approach makes it possible to calculate the statistical characteristics of strength and fracture based on data on the structure of the material defect and its resistance to the emergence and development of cracks. The main content of this paper is the algorithm for calculating and research the strength statistical characteristics of stochastically defective plate structural elements taking into account some deterministic features of their brittle fracture. Based on the deterministic failure criterion, which takes into account the initial direction of crack propagation, the ratio is obtained to find the most probable, mean value, dispersion and coefficient of variation of failure loading. The dependences of the specified strength statistical characteristics on the type of applied loading, the number of defects (body size) and structural inhomogeneity of the material, as well as the effect of taking into account the initial direction of crack propagation are investigated. The obtained results allow to more adequately assessing the reliability of structural materials under conditions of complex stress state, taking into account the stochastic of their structure. This is due to the fact that the use of the approach to determine the limit applied stresses, which takes into account the initial direction of the crack propagation, improves the algorithm for finding strength statistical characteristics.

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Section: Introductionmentioning

confidence: 99%

Development of the strength statistical characteristics of materials, which takes into account the features of their brittle fracture

Kvit

2022

TAPR

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“…In paper [5], a probabilistic procedure for modeling multiple surface crack propagation and coalescence is proposed. In the work [6], a data-driven approach based on a Gaussian process for regression is developed to determine the probability of axle failure caused by crack growth in railway axles. A reliability analysis of fatigue crack growth for a steel subject to the growth of multiple cracks is presented in [7].…”

Section: Introductionmentioning

confidence: 99%

Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Kvit¹

2022

J. Appl. Math. Comput. Mech.

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A study of the stress state and reliability of an isotropic body with the same material crack resistance and evenly distributed internal defects-cracks under the conditions of homogeneous axisymmetric loading is carried out. Defects are characterized by two independent random variables -a radius and orientation angle. The probability density distribution of the defect radius is chosen in the form of an exponential law. The probability density distribution of the defect orientation angle is chosen in the form of a law that corresponds to the material isotropy. The influence of the loading level, type of stress state and body size (number of defects) on the most probable value, the mean value and the dispersion of failure loading (strength) are investigated.

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Steels for rail axles - an overview

Klenam

Chown

Papo

et al. 2022

Critical Reviews in Solid State and Materials Sciences

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Probabilistic analysis of crack growth in railway axles using a Gaussian process

Cited by 5 publications

References 10 publications

Development of the strength statistical characteristics of materials, which takes into account the features of their brittle fracture

Development of the strength statistical characteristics of materials, which takes into account the features of their brittle fracture

Investigation of probabilistic aspects reliability of isotropic bodies with internal defects

Steels for rail axles - an overview

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