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-similarityconcepts applied to the linear range of fatigue crack growth, a power-law asymptotic representation relatin...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2007-10-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero2/numero_2_art_2.pdf |
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| _version_ | 1832568729118965760 |
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| author | Marco Paggi Alberto Carpinteri |
| author_facet | Marco Paggi Alberto Carpinteri |
| author_sort | Marco Paggi |
| 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-similarityconcepts 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-b96005c9cf5a4b29bf298988d7802541 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2007-10-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-b96005c9cf5a4b29bf298988d78025412025-02-03T00:44:48ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932007-10-01121016Are the Paris’ law parameters dependent on each other?Marco PaggiAlberto CarpinteriThe 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-similarityconcepts 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.http://www.gruppofrattura.it/pdf/rivista/numero2/numero_2_art_2.pdfFatigue crack growthParis’ law parametersCorrelationDimensional analysisGriffith- Irwin instability |
| spellingShingle | Marco Paggi Alberto Carpinteri Are the Paris’ law parameters dependent on each other? Fracture and Structural Integrity Fatigue crack growth Paris’ law parameters Correlation Dimensional analysis Griffith- Irwin instability |
| 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 |
| topic | Fatigue crack growth Paris’ law parameters Correlation Dimensional analysis Griffith- Irwin instability |
| url | http://www.gruppofrattura.it/pdf/rivista/numero2/numero_2_art_2.pdf |
| work_keys_str_mv | AT marcopaggi aretheparislawparametersdependentoneachother AT albertocarpinteri aretheparislawparametersdependentoneachother |