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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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2013-04-01
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| Series: | Fracture and Structural Integrity |
| Online Access: | https://www.fracturae.com/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. |
| format | Article |
| id | doaj-art-dd6c5e4c0d9f48e9bff5f81256a1f260 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2013-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-dd6c5e4c0d9f48e9bff5f81256a1f2602025-01-02T23:01:47ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932013-04-011210.3221/IGF-ESIS.02.02Are 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://www.fracturae.com/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://www.fracturae.com/index.php/fis/article/view/13 |
| work_keys_str_mv | AT albertocarpinteri aretheparislawparametersdependentoneachother AT marcopaggi aretheparislawparametersdependentoneachother |