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A Mesoscopic Approach to Subcritical Fatigue Crack Growth by Araújo, Maycon S.; Vieira, André P.; Andrade, José S.; Herrmann, Hans J. is a scholarly article available to read on EtoBox.

What is A Mesoscopic Approach to Subcritical Fatigue Crack Growth about?

We investigate a model for fatigue crack growth in which damage accumulation is assumed to follow a power law of the local stress amplitude, a form which can be generically justified on the grounds of the approximately self-similar aspect of microcrack distributions. Our aim is to determine the relation between model ingredients and the Paris exponent governing subcritical crack-growth dynamics at the macroscopic scale, starting from a single small notch propagating along a fixed line. By a series of analytical and numerical calculations, we show that, in the absence of disorder, there is a critical damage-accumulation exponent $\gamma$, namely $\gamma_c=2$, separating two distinct regimes of behavior for the Paris exponent $m$. For $\gamma>\gamma_c$, the Paris exponent is shown to assume the value $m=\gamma$, a result which proves robust against the separate introduction of various modifying ingredients. Explicitly, we deal here with (i) the requirement of a minimum stress for damage to occur; (ii) the presence of disorder in local damage thresholds; (iii) the possibility of crack healing. On the other hand, in the regime $\gamma<\gamma_c$ the Paris exponent is seen to be sensitiv

Author

Araújo, Maycon S.; Vieira, André P.; Andrade, José S.; Herrmann, Hans J.

Published

2016

Language

EN