Premonitory transformation of steel fracturing and seismicity

Rotwain, I. M.; Keilis‐Borok, V. I.; Ботвина, Л. Р.

doi:10.1016/s0031-9201(96)03224-4

Cited by 44 publications

(20 citation statements)

References 24 publications

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“…Recently, it turned out that the concept of cluster dynamics has a wider domain of applications in such fields as plasma physics, geophysics and others (see [KS1,KS2,MDR+,RKB]). In this connection it is interesting to study the distributions of various characteristics of cluster dynamics, such as the distribution of the size of the clusters, the statistics of particles in a cluster and others.…”

mentioning

confidence: 99%

Statistical properties of the cluster dynamics of the systems of statistical mechanics

Gabrielov

Keilis‐Borok

Sinai

et al. 2008

ESI Lectures in Mathematics and Physics

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mentioning

confidence: 99%

Statistical properties of the cluster dynamics of the systems of statistical mechanics

Gabrielov

Keilis‐Borok

Sinai

et al. 2008

ESI Lectures in Mathematics and Physics

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“…It is similar to inflection point in the cumulative microcracks' distribution curve (Fig. 1, b) before the fatigue macrocrack formation [11][12][13][14].…”

Section: Discussion Of the Resultsmentioning

confidence: 54%

“…at the early stages of fatigue fracture, and by the power-law one [10] (a), the cumulative microcracks' number distributions over their length plotted on these patterns [11][12][13][14] (b), and the dependences of k-parameter on the residual lifetime (bottom axes) and c-exponent in Eq. (3) (top axes) plotted according to [10,15] (c).…”

Section: Damage Analysis Of Low-carbon Steel At Various Stages Of Fatmentioning

confidence: 99%

On the Concentration Criterion of Fracture

Ботвина¹,

Soldatenkov²

2017

Metallofiz. Noveishie Tekhnol.

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The kinetics of microcracks' accumulation at various stages of cyclic and static loading of specimens of the low-carbon grade 20, medium-carbon grade 45, and stainless 12Kh18N10T steels is studied. Concentration criterion of fracture (k-criterion) characterizing the initiation of process of microcracks' coalescence and macrocrack formation as well as the characteristics of cumulative microcracks' distribution over their lengths are estimated. As shown, the k-criterion is associated with residual lifetime of a material by means of the power-law dependence. Some general regularities of defect interaction manifesting themselves at fracture of metal specimens are considered.Key words: concentration criterion of fracture, damage accumulation, tension, microcracks' density, fatigue, residual lifetime.Вивчено кінетику накопичення мікротріщин на різних стадіях циклічно-го та статичного навантаження маловуглецевої сталі, а також сталей 45 і 12Х18Н9Т у процесі розтягання. Оцінено концентраційний критерій (k-параметр), що характеризує початок процесу злиття мікротріщин і фор-мування макротріщини, а також характеристики кумулятивних кривих розподілу мікротріщин по довжині. Показано, що k-параметр пов'язаний степеневою залежністю із залишковою довговічністю матеріялу. Розгля-нуто деякі загальні закономірності процесів взаємодії дефектів, що про-являються при руйнуванні металічних зразків.Ключові слова: концентраційний критерій руйнування, розтягання, на-копичення пошкоджень, густина мікротріщин, утома, залишкова довго-вічність. Изучена кинетика накопления микротрещин на различных стадиях цик-лического и статического нагружения малоуглеродистой стали, а также сталей 45 и 12Х18Н9Т в процессе растяжения. Оценены концентрацион-ный критерий (k-параметр), характеризующий начало процесса слияния микротрещин и формирования макротрещины, а также характеристики кумулятивных кривых распределения микротрещин по длине. Показано, что k-параметр связан степенной зависимостью с остаточной долговечно-стью материала. Рассмотрены некоторые общие закономерности процес-сов взаимодействия дефектов, проявляющиеся при разрушении металли-ческих образцов.Ключевые слова: концентрационный критерий разрушения, накопление повреждений, растяжение, плотность микротрещин, усталость, остаточ-ная долговечность.

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“…Later it was found in steel samples and seismicity of California [28], and confirmed by the dynamical modeling of failure in a hierarchical system (so-called colliding cascade models) [10,43].…”

Section: Dynamics Of Scaling Correctionsmentioning

confidence: 86%

Inverse cascade in a percolation model: Hierarchical description of time-dependent scaling

2005

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The dynamics of a 2D site percolation model on a square lattice is studied using the hierarchical approach introduced by Gabrielov et al., Phys. Rev. E, 60, 5293-5300, 1999. The key elements of the approach are the tree representation of clusters and their coalescence, and the Horton-Strahler scheme for cluster ranking. Accordingly, the evolution of percolation model is considered as a hierarchical inverse cascade of cluster aggregation. A three-exponent time-dependent scaling for the cluster rank distribution is derived using the Tokunaga branching constraint and classical results on percolation in terms of cluster masses. Deviations from the pure scaling are described. An empirical constraint on the dynamics of a rank population is reported based on numerical simulations.

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Premonitory transformation of steel fracturing and seismicity

Cited by 44 publications

References 24 publications

Statistical properties of the cluster dynamics of the systems of statistical mechanics

Statistical properties of the cluster dynamics of the systems of statistical mechanics

On the Concentration Criterion of Fracture

Inverse cascade in a percolation model: Hierarchical description of time-dependent scaling

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