There is some experimental evidence that crack propagation in certain materials submitted to fatigue loading might not conform, also in the so-called medium amplitude range, to the Paris law owing to crack-size effects on the growth rate. In the present paper, both similarity methods and fractal concepts are used to derive a crack-size dependent Paris law. Such a law is based upon the assumption of an incomplete self-similarity in the fatigue crack growth phenomenon or, on the other hand, the modelling of crack surfaces as self-similar invasive fractals.

Self-similarity and fractals in the Paris range of fatigue crack growth / Spagnoli, Andrea. - In: MECHANICS OF MATERIALS. - ISSN 0167-6636. - 37:(2005), pp. 519-529. [10.1016/j.mechmat.2004.04.003]

Self-similarity and fractals in the Paris range of fatigue crack growth

SPAGNOLI, Andrea
2005-01-01

Abstract

There is some experimental evidence that crack propagation in certain materials submitted to fatigue loading might not conform, also in the so-called medium amplitude range, to the Paris law owing to crack-size effects on the growth rate. In the present paper, both similarity methods and fractal concepts are used to derive a crack-size dependent Paris law. Such a law is based upon the assumption of an incomplete self-similarity in the fatigue crack growth phenomenon or, on the other hand, the modelling of crack surfaces as self-similar invasive fractals.
2005
Self-similarity and fractals in the Paris range of fatigue crack growth / Spagnoli, Andrea. - In: MECHANICS OF MATERIALS. - ISSN 0167-6636. - 37:(2005), pp. 519-529. [10.1016/j.mechmat.2004.04.003]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/1446896
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