On notch and crack size effects in fatigue, Paris� law and implications for Whler curves
As often done in design practice, the W�hler curve of a specimen, in the absence of more direct information, can be crudely retrieved by interpolating with a power-law curve between static strength at a given conventional low number of cycles N0 (of the order of 10-103), and the fatigue limit at a i...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2018-04-01
|
| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero44/numero_44_art_5.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1841561451799511040 |
|---|---|
| author | Michele Ciavarella A. Papangelo |
| author_facet | Michele Ciavarella A. Papangelo |
| author_sort | Michele Ciavarella |
| collection | DOAJ |
| description | As often done in design practice, the W�hler curve of a specimen, in the absence of more direct information, can be crudely retrieved by interpolating with a power-law curve between static strength at a given conventional low number of cycles N0 (of the order of 10-103), and the fatigue limit at a infinite life, also conventional, typically N8=2?106 or N8=107 cycles. These assumptions introduce some uncertainty, but otherwise both the static regime and the infinite life are relatively well known. Specifically, by elaborating on recent unified treatments of notch and crack effects on infinite life, and using similar concepts to the static failure cases, an interpolation procedure is suggested for the finite life region. Considering two ratios, i.e. toughness to fatigue threshold FK=KIc/DKth, and static strength to endurance limit, FR =sR /Ds0, qualitative trends are obtained for the finite life region. Paris� and Whlers coefficients fundamentally depend on these two ratios, which can be also defined sensitivities� of materials to fatigue when cracked and uncracked, respectively: higher sensitivity means stringent need for design for fatigue. A generalized Whler coefficient, k, is found as a function of the intrinsic W�hler coefficient k of the material and the size of the crack or notch. We find that for a notched structure, k min k min m, as a function of size of the notch: in particular, k=k holds for small notches, then k decreases up to a limiting value _which depends upon Kt for mildly notched structures, or on FK and FR only for severe notch or crack_. A perhaps surprising return to the original slope k is found for very large blunt notches. Finally, Paris law should hold for a distinctly cracked structure, i.e. having a long-crack; indeed, Paris coefficient m is coincident with the limiting value of k lim. The scope of this note is only qualitative and aims at a discussion over unified treatments in fatigue |
| format | Article |
| id | doaj-art-ecb84673f86440b8bdbd248bdfc03dbc |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2018-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-ecb84673f86440b8bdbd248bdfc03dbc2025-01-03T01:40:39ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932018-04-011244496310.3221/IGF-ESIS.44.0510.3221/IGF-ESIS.44.05On notch and crack size effects in fatigue, Paris� law and implications for Whler curvesMichele CiavarellaA. PapangeloAs often done in design practice, the W�hler curve of a specimen, in the absence of more direct information, can be crudely retrieved by interpolating with a power-law curve between static strength at a given conventional low number of cycles N0 (of the order of 10-103), and the fatigue limit at a infinite life, also conventional, typically N8=2?106 or N8=107 cycles. These assumptions introduce some uncertainty, but otherwise both the static regime and the infinite life are relatively well known. Specifically, by elaborating on recent unified treatments of notch and crack effects on infinite life, and using similar concepts to the static failure cases, an interpolation procedure is suggested for the finite life region. Considering two ratios, i.e. toughness to fatigue threshold FK=KIc/DKth, and static strength to endurance limit, FR =sR /Ds0, qualitative trends are obtained for the finite life region. Paris� and Whlers coefficients fundamentally depend on these two ratios, which can be also defined sensitivities� of materials to fatigue when cracked and uncracked, respectively: higher sensitivity means stringent need for design for fatigue. A generalized Whler coefficient, k, is found as a function of the intrinsic W�hler coefficient k of the material and the size of the crack or notch. We find that for a notched structure, k min k min m, as a function of size of the notch: in particular, k=k holds for small notches, then k decreases up to a limiting value _which depends upon Kt for mildly notched structures, or on FK and FR only for severe notch or crack_. A perhaps surprising return to the original slope k is found for very large blunt notches. Finally, Paris law should hold for a distinctly cracked structure, i.e. having a long-crack; indeed, Paris coefficient m is coincident with the limiting value of k lim. The scope of this note is only qualitative and aims at a discussion over unified treatments in fatiguehttp://www.gruppofrattura.it/pdf/rivista/numero44/numero_44_art_5.pdfFatigue Whler curve Notch Sensitivity Paris law Ashby maps |
| spellingShingle | Michele Ciavarella A. Papangelo On notch and crack size effects in fatigue, Paris� law and implications for Whler curves Fracture and Structural Integrity Fatigue Whler curve Notch Sensitivity Paris law Ashby maps |
| title | On notch and crack size effects in fatigue, Paris� law and implications for Whler curves |
| title_full | On notch and crack size effects in fatigue, Paris� law and implications for Whler curves |
| title_fullStr | On notch and crack size effects in fatigue, Paris� law and implications for Whler curves |
| title_full_unstemmed | On notch and crack size effects in fatigue, Paris� law and implications for Whler curves |
| title_short | On notch and crack size effects in fatigue, Paris� law and implications for Whler curves |
| title_sort | on notch and crack size effects in fatigue paris� law and implications for whler curves |
| topic | Fatigue Whler curve Notch Sensitivity Paris law Ashby maps |
| url | http://www.gruppofrattura.it/pdf/rivista/numero44/numero_44_art_5.pdf |
| work_keys_str_mv | AT micheleciavarella onnotchandcracksizeeffectsinfatigueparislawandimplicationsforwhlercurves AT apapangelo onnotchandcracksizeeffectsinfatigueparislawandimplicationsforwhlercurves |