Fractal statistics of brittle fragmentation
The study of fragmentation statistics of brittle materials that includes four types of experiments is presented. Data processing of the fragmentation of glass plates under quasi-static loading and the fragmentation of quartz cylindrical rods under dynamic loading shows that the size distribution of...
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| Format: | Article |
| Language: | English |
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Gruppo Italiano Frattura
2013-04-01
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| Series: | Fracture and Structural Integrity |
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| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero24/numero_24_art_5.pdf |
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| _version_ | 1841562899336658944 |
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| author | M. Davydova S. Uvarov |
| author_facet | M. Davydova S. Uvarov |
| author_sort | M. Davydova |
| collection | DOAJ |
| description | The study of fragmentation statistics of brittle materials that includes four types of experiments is presented. Data processing of the fragmentation of glass plates under quasi-static loading and the fragmentation of quartz cylindrical rods under dynamic loading shows that the size distribution of fragments (spatial quantity) is fractal and can be described by a power law. The original experimental technique allows us to measure, apart from the spatial quantity, the temporal quantity - the size of time interval between the impulses of the light reflected from the newly created surfaces. The analysis of distributions of spatial (fragment size) and temporal (time interval) quantities provides evidence of obeying scaling laws, which suggests the possibility of self-organized criticality in fragmentation. |
| format | Article |
| id | doaj-art-1adb3806305544a59c567a4d9d730929 |
| institution | Kabale University |
| issn | 1971-8993 |
| language | English |
| publishDate | 2013-04-01 |
| publisher | Gruppo Italiano Frattura |
| record_format | Article |
| series | Fracture and Structural Integrity |
| spelling | doaj-art-1adb3806305544a59c567a4d9d7309292025-01-03T00:39:10ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932013-04-017246068Fractal statistics of brittle fragmentationM. DavydovaS. UvarovThe study of fragmentation statistics of brittle materials that includes four types of experiments is presented. Data processing of the fragmentation of glass plates under quasi-static loading and the fragmentation of quartz cylindrical rods under dynamic loading shows that the size distribution of fragments (spatial quantity) is fractal and can be described by a power law. The original experimental technique allows us to measure, apart from the spatial quantity, the temporal quantity - the size of time interval between the impulses of the light reflected from the newly created surfaces. The analysis of distributions of spatial (fragment size) and temporal (time interval) quantities provides evidence of obeying scaling laws, which suggests the possibility of self-organized criticality in fragmentation.http://www.gruppofrattura.it/pdf/rivista/numero24/numero_24_art_5.pdfFragmentation of brittle materialsFractal statisticsSelf-organized criticality |
| spellingShingle | M. Davydova S. Uvarov Fractal statistics of brittle fragmentation Fracture and Structural Integrity Fragmentation of brittle materials Fractal statistics Self-organized criticality |
| title | Fractal statistics of brittle fragmentation |
| title_full | Fractal statistics of brittle fragmentation |
| title_fullStr | Fractal statistics of brittle fragmentation |
| title_full_unstemmed | Fractal statistics of brittle fragmentation |
| title_short | Fractal statistics of brittle fragmentation |
| title_sort | fractal statistics of brittle fragmentation |
| topic | Fragmentation of brittle materials Fractal statistics Self-organized criticality |
| url | http://www.gruppofrattura.it/pdf/rivista/numero24/numero_24_art_5.pdf |
| work_keys_str_mv | AT mdavydova fractalstatisticsofbrittlefragmentation AT suvarov fractalstatisticsofbrittlefragmentation |