Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces
We develop a spectral procedure to generate multifractal random fields in any dimensions d, parameterized by their roughness exponent H, intermittency exponent λ, and multifractal range ξ. We retrieve all the salient features of the log-normal multifractal random walk introduced by E. Bacry et al. [...
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| Format: | Article |
| Language: | English |
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American Physical Society
2025-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.7.L012003 |
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| _version_ | 1841557186096922624 |
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| author | Samy Lakhal Laurent Ponson Michael Benzaquen Jean-Philippe Bouchaud |
| author_facet | Samy Lakhal Laurent Ponson Michael Benzaquen Jean-Philippe Bouchaud |
| author_sort | Samy Lakhal |
| collection | DOAJ |
| description | We develop a spectral procedure to generate multifractal random fields in any dimensions d, parameterized by their roughness exponent H, intermittency exponent λ, and multifractal range ξ. We retrieve all the salient features of the log-normal multifractal random walk introduced by E. Bacry et al. [Phys. Rev. E 64, 026103 (2001)1063-651X10.1103/PhysRevE.64.026103], namely, a quadratic scaling exponent spectrum ζ_{q}, and fat-tailed and spatially correlated fluctuations. Such construction procedure is then used in d=2 to “unwrap” experimental fracture surfaces of an aluminum alloy obtained by abrupt and fatigue failure. Our analysis demonstrates the presence of anisotropic and filamental structures, ascribed to the dissipative nature of the damage mechanisms that underlie material failure. |
| format | Article |
| id | doaj-art-c587841ef97c436b9a0e0874c4720b69 |
| institution | Kabale University |
| issn | 2643-1564 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-c587841ef97c436b9a0e0874c4720b692025-01-06T15:45:18ZengAmerican Physical SocietyPhysical Review Research2643-15642025-01-0171L01200310.1103/PhysRevResearch.7.L012003Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfacesSamy LakhalLaurent PonsonMichael BenzaquenJean-Philippe BouchaudWe develop a spectral procedure to generate multifractal random fields in any dimensions d, parameterized by their roughness exponent H, intermittency exponent λ, and multifractal range ξ. We retrieve all the salient features of the log-normal multifractal random walk introduced by E. Bacry et al. [Phys. Rev. E 64, 026103 (2001)1063-651X10.1103/PhysRevE.64.026103], namely, a quadratic scaling exponent spectrum ζ_{q}, and fat-tailed and spatially correlated fluctuations. Such construction procedure is then used in d=2 to “unwrap” experimental fracture surfaces of an aluminum alloy obtained by abrupt and fatigue failure. Our analysis demonstrates the presence of anisotropic and filamental structures, ascribed to the dissipative nature of the damage mechanisms that underlie material failure.http://doi.org/10.1103/PhysRevResearch.7.L012003 |
| spellingShingle | Samy Lakhal Laurent Ponson Michael Benzaquen Jean-Philippe Bouchaud Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces Physical Review Research |
| title | Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces |
| title_full | Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces |
| title_fullStr | Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces |
| title_full_unstemmed | Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces |
| title_short | Wrapping and unwrapping multifractal fields: Application to fatigue and abrupt failure fracture surfaces |
| title_sort | wrapping and unwrapping multifractal fields application to fatigue and abrupt failure fracture surfaces |
| url | http://doi.org/10.1103/PhysRevResearch.7.L012003 |
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