Fractal dimensions of a propagating fatigue crack in metallic materials
The application of fracture mechanics for fatigue crack propagation is hampered by the unavailability of the crack geometry factor for numerous structural designs. In this respect, an alternative approach correlating the fractal dimension of the propagating crack with the crack tip driving force is...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Published: |
Springer
2021
|
| Subjects: |
| _version_ | 1796865987613556736 |
|---|---|
| author | Hashmi, M. H. Hamid, M. F. A. Latif, A. A. Tamin, M. N. Khattak, M. A. |
| author_facet | Hashmi, M. H. Hamid, M. F. A. Latif, A. A. Tamin, M. N. Khattak, M. A. |
| author_sort | Hashmi, M. H. |
| collection | ePrints |
| description | The application of fracture mechanics for fatigue crack propagation is hampered by the unavailability of the crack geometry factor for numerous structural designs. In this respect, an alternative approach correlating the fractal dimension of the propagating crack with the crack tip driving force is examined. The fatigue crack growth rate behavior of the AISI 410 martensitic stainless steel is established, and the fractal dimension is quantified. The Paris crack growth rate region spans between 16 < Δ KI< 36 MPam. The fractality of the fatigue crack is established, and the fractal dimension at the various crack lengths is quantified using box-counting method. A linear relationship between the stress intensity factor range, Δ KI and the fractional fractal dimension, dff for crack lengths within the Paris crack growth region, is identified as ΔKIKIC=0.54+2.9dff. This eliminates the necessity of the crack geometry factor in determining Δ KI, thus predicting the fatigue crack growth rate of the structure based on the Paris law |
| first_indexed | 2024-03-05T21:05:27Z |
| format | Article |
| id | utm.eprints-95272 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T21:05:27Z |
| publishDate | 2021 |
| publisher | Springer |
| record_format | dspace |
| spelling | utm.eprints-952722022-04-29T22:03:07Z http://eprints.utm.my/95272/ Fractal dimensions of a propagating fatigue crack in metallic materials Hashmi, M. H. Hamid, M. F. A. Latif, A. A. Tamin, M. N. Khattak, M. A. TJ Mechanical engineering and machinery The application of fracture mechanics for fatigue crack propagation is hampered by the unavailability of the crack geometry factor for numerous structural designs. In this respect, an alternative approach correlating the fractal dimension of the propagating crack with the crack tip driving force is examined. The fatigue crack growth rate behavior of the AISI 410 martensitic stainless steel is established, and the fractal dimension is quantified. The Paris crack growth rate region spans between 16 < Δ KI< 36 MPam. The fractality of the fatigue crack is established, and the fractal dimension at the various crack lengths is quantified using box-counting method. A linear relationship between the stress intensity factor range, Δ KI and the fractional fractal dimension, dff for crack lengths within the Paris crack growth region, is identified as ΔKIKIC=0.54+2.9dff. This eliminates the necessity of the crack geometry factor in determining Δ KI, thus predicting the fatigue crack growth rate of the structure based on the Paris law Springer 2021 Article PeerReviewed Hashmi, M. H. and Hamid, M. F. A. and Latif, A. A. and Tamin, M. N. and Khattak, M. A. (2021) Fractal dimensions of a propagating fatigue crack in metallic materials. Journal of Failure Analysis and Prevention, 21 (5). pp. 1644-1651. ISSN 1547-7029 http://dx.doi.org/10.1007/s11668-021-01219-2 DOI: 10.1007/s11668-021-01219-2 |
| spellingShingle | TJ Mechanical engineering and machinery Hashmi, M. H. Hamid, M. F. A. Latif, A. A. Tamin, M. N. Khattak, M. A. Fractal dimensions of a propagating fatigue crack in metallic materials |
| title | Fractal dimensions of a propagating fatigue crack in metallic materials |
| title_full | Fractal dimensions of a propagating fatigue crack in metallic materials |
| title_fullStr | Fractal dimensions of a propagating fatigue crack in metallic materials |
| title_full_unstemmed | Fractal dimensions of a propagating fatigue crack in metallic materials |
| title_short | Fractal dimensions of a propagating fatigue crack in metallic materials |
| title_sort | fractal dimensions of a propagating fatigue crack in metallic materials |
| topic | TJ Mechanical engineering and machinery |
| work_keys_str_mv | AT hashmimh fractaldimensionsofapropagatingfatiguecrackinmetallicmaterials AT hamidmfa fractaldimensionsofapropagatingfatiguecrackinmetallicmaterials AT latifaa fractaldimensionsofapropagatingfatiguecrackinmetallicmaterials AT taminmn fractaldimensionsofapropagatingfatiguecrackinmetallicmaterials AT khattakma fractaldimensionsofapropagatingfatiguecrackinmetallicmaterials |