Are the Paris’ law parameters dependent on each other?

The question about the existence of a correlation between the parameters C and m of the Paris’ law is re-examined in this paper. According to dimensional analysis and incomplete self-similarity concepts applied to the linear range of fatigue crack growth, a power-law asymptotic representation rela...

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Main Authors: Alberto Carpinteri, Marco Paggi
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2013-04-01
Series:Fracture and Structural Integrity
Online Access:https://212.237.37.202/index.php/fis/article/view/13
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author Alberto Carpinteri
Marco Paggi
author_facet Alberto Carpinteri
Marco Paggi
author_sort Alberto Carpinteri
collection DOAJ
description The question about the existence of a correlation between the parameters C and m of the Paris’ law is re-examined in this paper. According to dimensional analysis and incomplete self-similarity concepts applied to the linear range of fatigue crack growth, a power-law asymptotic representation relating the parameter C to m and to the governing variables of the fatigue phenomenon is derived. Then, from the observation that the Griffith-Irwin instability must coincide with the Paris’ instability at the onset of rapid crack growth, the exponents entering this correlation are determined. A fair good agreement is found between the proposed correlation and the experimental data concerning Aluminium, Titanium and steel alloys.
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series Fracture and Structural Integrity
spelling doaj-art-7bf29df97fe442a088a82be1c71c5ea12025-01-03T00:39:50ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932013-04-0112Are the Paris’ law parameters dependent on each other?Alberto Carpinteri0Marco Paggi1Politecnico di Torino, Dipartimento di Ingegneria Strutturale e GeotecnicaPolitecnico di Torino, Dipartimento di Ingegneria Strutturale e GeotecnicaThe question about the existence of a correlation between the parameters C and m of the Paris’ law is re-examined in this paper. According to dimensional analysis and incomplete self-similarity concepts applied to the linear range of fatigue crack growth, a power-law asymptotic representation relating the parameter C to m and to the governing variables of the fatigue phenomenon is derived. Then, from the observation that the Griffith-Irwin instability must coincide with the Paris’ instability at the onset of rapid crack growth, the exponents entering this correlation are determined. A fair good agreement is found between the proposed correlation and the experimental data concerning Aluminium, Titanium and steel alloys.https://212.237.37.202/index.php/fis/article/view/13
spellingShingle Alberto Carpinteri
Marco Paggi
Are the Paris’ law parameters dependent on each other?
Fracture and Structural Integrity
title Are the Paris’ law parameters dependent on each other?
title_full Are the Paris’ law parameters dependent on each other?
title_fullStr Are the Paris’ law parameters dependent on each other?
title_full_unstemmed Are the Paris’ law parameters dependent on each other?
title_short Are the Paris’ law parameters dependent on each other?
title_sort are the paris law parameters dependent on each other
url https://212.237.37.202/index.php/fis/article/view/13
work_keys_str_mv AT albertocarpinteri aretheparislawparametersdependentoneachother
AT marcopaggi aretheparislawparametersdependentoneachother