An attempt to correlate the degree of crack kinking to some material microstructural features is illustrated. In particular, the kinking angle is correlated to a periodic self-balanced multiaxial microstress field having self-similar characteristics. Using the Richardson’s expression for self-similar fractals, the fractal dimension of the crack is expressed as a function of the kinking angle. It is shown that threshold condition of fatigue crack growth is affected by the crack kinking angle, which in turn is a function of the ratio between crack length and microstructure characteristic length. The well-known Kitagawa diagram can be interpreted within the framework of the proposed model.
Correlating the fractal dimension of a continuously-kinked fatigue crack with some material microstructural features / Carpinteri, Andrea; Spagnoli, Andrea; Vantadori, Sabrina. - (2011), pp. 24-27. (Intervento presentato al convegno The 13th International Conference on Mesomechanics (Mesomechanics 2011) tenutosi a Vicenza nel 6-8 July 2011).
Correlating the fractal dimension of a continuously-kinked fatigue crack with some material microstructural features
CARPINTERI, Andrea;SPAGNOLI, Andrea;VANTADORI, Sabrina
2011-01-01
Abstract
An attempt to correlate the degree of crack kinking to some material microstructural features is illustrated. In particular, the kinking angle is correlated to a periodic self-balanced multiaxial microstress field having self-similar characteristics. Using the Richardson’s expression for self-similar fractals, the fractal dimension of the crack is expressed as a function of the kinking angle. It is shown that threshold condition of fatigue crack growth is affected by the crack kinking angle, which in turn is a function of the ratio between crack length and microstructure characteristic length. The well-known Kitagawa diagram can be interpreted within the framework of the proposed model.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
