MARKOV APPROXIMATION TO FATIGUE CRACK SIZE DISTRIBUTION

The distribution of the crack size during the fatigue crack propagation phenomenon is investigated. A Markovian modeling of the crack is introduced through the fatigue crack growth law, and the associated Fokker‐Planck equation is written while special care is devoted to specifying its boundary cond...

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Bibliographic Details
Published in:Fatigue & fracture of engineering materials & structures 1990-09, Vol.13 (5), p.457-471, Article 457
Main Authors: Solomos, G. P., Lucia, A. C.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:The distribution of the crack size during the fatigue crack propagation phenomenon is investigated. A Markovian modeling of the crack is introduced through the fatigue crack growth law, and the associated Fokker‐Planck equation is written while special care is devoted to specifying its boundary conditions. This equation is solved by the method of separation of variables and the sought distribution function is obtained in the form of a convergent infinite series. An illustrative example, demonstrating the applicability of the approach, shows satisfactory agreement between theoretical results and experimental data.
ISSN:8756-758X
1460-2695
DOI:10.1111/j.1460-2695.1990.tb00617.x