A dimensional analysis approach to fatigue in quasi-brittle materials

A dimensional analysis approach to fatigue in quasi-brittle materials

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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 theor...

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Main Author: Marco Paggi
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2013-04-01
Series:Frattura ed Integrità Strutturale
Online Access:https://212.237.37.202/index.php/fis/article/view/71
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spelling doaj-89dc6ecb2ca640699fd4fdc3e7b47f3c2021-01-30T17:16:20ZengGruppo Italiano FratturaFrattura ed Integrità Strutturale1971-89932013-04-01310A dimensional analysis approach to fatigue in quasi-brittle materialsMarco Paggi0Politecnico di TorinoIn 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.https://212.237.37.202/index.php/fis/article/view/71
collection DOAJ
language English
format Article
sources DOAJ
author Marco Paggi
spellingShingle Marco Paggi
A dimensional analysis approach to fatigue in quasi-brittle materials
Frattura ed Integrità Strutturale
author_facet Marco Paggi
author_sort Marco Paggi
title A dimensional analysis approach to fatigue in quasi-brittle materials
title_short A dimensional analysis approach to fatigue in quasi-brittle materials
title_full A dimensional analysis approach to fatigue in quasi-brittle materials
title_fullStr A dimensional analysis approach to fatigue in quasi-brittle materials
title_full_unstemmed A dimensional analysis approach to fatigue in quasi-brittle materials
title_sort dimensional analysis approach to fatigue in quasi-brittle materials
publisher Gruppo Italiano Frattura
series Frattura ed Integrità Strutturale
issn 1971-8993
publishDate 2013-04-01
description 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.
url https://212.237.37.202/index.php/fis/article/view/71
work_keys_str_mv AT marcopaggi adimensionalanalysisapproachtofatigueinquasibrittlematerials
AT marcopaggi dimensionalanalysisapproachtofatigueinquasibrittlematerials
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