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FATIGUE CRACK SIZE PROBABILITY DISTRIBUTION VIA A FILTER TECHNIQUE
Author(s) -
Casciati F.,
Colombi P.,
Faravelli L.
Publication year - 1992
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.1992.tb01287.x
Subject(s) - hermite polynomials , paris' law , cumulative distribution function , distribution (mathematics) , fracture mechanics , function (biology) , mathematics , structural engineering , probability distribution , probability density function , mathematical analysis , crack closure , engineering , statistics , evolutionary biology , biology
— A Markovian method of crack propagation analysis is studied. Non‐physical negative and/or unbounded crack growth rates are avoided. The cumulative distribution function of the crack length is evaluated at a fixed time by using a technique based on Hermite moments which are calculated by means of classical Itô calculus. A numerical example illustrates the main features of the method. The agreement between theoretical results and experimental data is very satisfactory.