In this study, a generalized Barenblatt and Botvina dimensional analysis approach to fatigue crack growth is proposed in order to highlight and explain the deviations from the classical power-law equations used to characterize the fatigue behaviour of quasi-brittle materials. According to this theoretical approach, the microstructural-size (related to the volumetric content of fibres in fibre-reinforced concrete), the crack-size, and the size-scale effects on the Paris’ law and the Wöhler equation are presented within a unified mathematical framework. Relevant experimental results taken from the literature are used to confirm the theoretical trends and to determine the values of the incomplete self-similarity exponents. All these information are expected to be useful for the design of experiments, since the role of the different dimensionless numbers governing the phenomenon of fatigue is herein elucidated.
Article history
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About the authors
Marco Paggi
Dep. of Structural and Geotechnical Engineering, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
How to cite
APA
Paggi, M. (2009). A dimensional analysis approach to fatigue in quasi-brittle materials. Fracture and Structural Integrity, 3(10), pages 43–55. https://doi.org/10.3221/IGF-ESIS.10.06
IEEE
M. Paggi, “A dimensional analysis approach to fatigue in quasi-brittle materials,” Fracture and Structural Integrity, vol. 3, no. 10, pp. pages 43–55, 2009, doi: 10.3221/IGF-ESIS.10.06.
MLA
Paggi, Marco. “A dimensional analysis approach to fatigue in quasi-brittle materials.” Fracture and Structural Integrity, vol. 3, no. 10, 2009, pp. pages 43–55. https://doi.org/10.3221/IGF-ESIS.10.06.
Chicago
Paggi, Marco. 2009. “A dimensional analysis approach to fatigue in quasi-brittle materials.” Fracture and Structural Integrity 3 (10): pages 43–55. https://doi.org/10.3221/IGF-ESIS.10.06.
Harvard
Paggi, M. (2009) ‘A dimensional analysis approach to fatigue in quasi-brittle materials’, Fracture and Structural Integrity, 3(10), pp. pages 43–55. doi: 10.3221/IGF-ESIS.10.06.
Vancouver
Paggi M. A dimensional analysis approach to fatigue in quasi-brittle materials. Fracture and Structural Integrity. 2009;3(10):pages 43-55. doi:10.3221/IGF-ESIS.10.06
BibTeX
@article{paggi2009,
author = {Paggi, Marco},
title = {A dimensional analysis approach to fatigue in quasi-brittle materials},
journal = {Fracture and Structural Integrity},
year = {2009},
volume = {3},
number = {10},
pages = {pages 43--55},
doi = {10.3221/IGF-ESIS.10.06},
url = {https://doi.org/10.3221/IGF-ESIS.10.06},
issn = {1971-8993}
}
RIS
TY - JOUR
AU - Paggi, Marco
TI - A dimensional analysis approach to fatigue in quasi-brittle materials
JO - Fracture and Structural Integrity
T2 - Fracture and Structural Integrity
PY - 2009
VL - 3
IS - 10
SP - pages 43
EP - 55
DO - 10.3221/IGF-ESIS.10.06
UR - https://doi.org/10.3221/IGF-ESIS.10.06
SN - 1971-8993
ER -
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