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INCOMPLETE SELF‐SIMILARITY OF FATIGUE IN THE LINEAR RANGE OF CRACK GROWTH
Author(s) -
BARENBLATT G. I.,
BOTVINA L. R.
Publication year - 1980
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.1460-2695.1980.tb01359.x
Subject(s) - paris' law , materials science , similarity (geometry) , exponent , stress intensity factor , similarity solution , fracture toughness , power function , crack closure , fracture mechanics , instability , toughness , range (aeronautics) , structural engineering , power law , fracture (geology) , amplitude , self similarity , stress (linguistics) , mechanics , composite material , mathematics , mathematical analysis , geometry , engineering , physics , computer science , statistics , image (mathematics) , artificial intelligence , linguistics , philosophy , boundary layer , quantum mechanics
—The application of dimensional analysis and similarity methods to the study of the speed of fatigue crack growth is considered. It is shown that the Paris range of the crack propagation diagram is an intermediate‐asymptotic stage of the crack growth process. Over this stage the influence of the initial conditions on the process of fatigue crack growth has disappeared but the influence of the instability has not yet intruded. So‐called incomplete self‐similarity prevails at this stage with respect to a basic similarity parameter, equal to the ratio of the stress intensity factor amplitude to the fracture toughness. It is shown that for a certain material under fixed external loading conditions the exponent in the Paris power law is a universal function of the ratio of specimen thickness to the ultimate size of the cyclic plastic zone. Processing of available experimental data confirmed the results obtained by this approach.