A Renormalization Group Procedure for Fiber Bundle Models
We introduce two versions of a renormalization group scheme for the equal load sharing fiber bundle model. The renormalization group is based on formulating the fiber bundle model in the language of damage mechanics. A central concept is the work performed on the fiber bundle to produce a given dama...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2018-07-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2018.00065/full |
| _version_ | 1828311766962012160 |
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| author | Srutarshi Pradhan Alex Hansen Purusattam Ray Purusattam Ray |
| author_facet | Srutarshi Pradhan Alex Hansen Purusattam Ray Purusattam Ray |
| author_sort | Srutarshi Pradhan |
| collection | DOAJ |
| description | We introduce two versions of a renormalization group scheme for the equal load sharing fiber bundle model. The renormalization group is based on formulating the fiber bundle model in the language of damage mechanics. A central concept is the work performed on the fiber bundle to produce a given damage. The renormalization group conserves this work. In the first version of the renormalization group, we take advantage of ordering the strength of the individual fibers. This procedure, which is the simpler one, cannot be generalized to other fiber bundle models such as the local load sharing one. The second renormalization group scheme based on the physical location of the individual fibers may be generalized to other fiber bundle models. |
| first_indexed | 2024-04-13T16:04:47Z |
| format | Article |
| id | doaj.art-bb5319699e644098b410735a5dd005a1 |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-13T16:04:47Z |
| publishDate | 2018-07-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-bb5319699e644098b410735a5dd005a12022-12-22T02:40:26ZengFrontiers Media S.A.Frontiers in Physics2296-424X2018-07-01610.3389/fphy.2018.00065374586A Renormalization Group Procedure for Fiber Bundle ModelsSrutarshi Pradhan0Alex Hansen1Purusattam Ray2Purusattam Ray3PoreLab, Department of Physics, Norwegian University of Science and Technology, Trondheim, NorwayPoreLab, Department of Physics, Norwegian University of Science and Technology, Trondheim, NorwayThe Institute of Mathematical Sciences, CIT Campus, Chennai, IndiaHomi Bhabha National Institute, Training School Complex, Mumbai, IndiaWe introduce two versions of a renormalization group scheme for the equal load sharing fiber bundle model. The renormalization group is based on formulating the fiber bundle model in the language of damage mechanics. A central concept is the work performed on the fiber bundle to produce a given damage. The renormalization group conserves this work. In the first version of the renormalization group, we take advantage of ordering the strength of the individual fibers. This procedure, which is the simpler one, cannot be generalized to other fiber bundle models such as the local load sharing one. The second renormalization group scheme based on the physical location of the individual fibers may be generalized to other fiber bundle models.https://www.frontiersin.org/article/10.3389/fphy.2018.00065/fullfiber bundle modelrenormalization grouporder spacereal spacedamage mechanicsorder statistics |
| spellingShingle | Srutarshi Pradhan Alex Hansen Purusattam Ray Purusattam Ray A Renormalization Group Procedure for Fiber Bundle Models Frontiers in Physics fiber bundle model renormalization group order space real space damage mechanics order statistics |
| title | A Renormalization Group Procedure for Fiber Bundle Models |
| title_full | A Renormalization Group Procedure for Fiber Bundle Models |
| title_fullStr | A Renormalization Group Procedure for Fiber Bundle Models |
| title_full_unstemmed | A Renormalization Group Procedure for Fiber Bundle Models |
| title_short | A Renormalization Group Procedure for Fiber Bundle Models |
| title_sort | renormalization group procedure for fiber bundle models |
| topic | fiber bundle model renormalization group order space real space damage mechanics order statistics |
| url | https://www.frontiersin.org/article/10.3389/fphy.2018.00065/full |
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