The given level attainment problem and material destruction
In frameworks of percolation scenario of material destruction, the general stochastic model is proposed. It is connected with the so-called attainment problem of the given level E > 0 in the case of independent, equally distributed, non-negative random variables εk, k = 1, 2, ... . The asymptotic...
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| Published in: | Functional Materials |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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НТК «Інститут монокристалів» НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/135610 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | The given level attainment problem and material destruction / M.I. Yastrubenko // Functional Materials. — 2007. — Т. 14, № 1. — С. 19-23. — Бібліогр.: 5 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862697749086994432 |
|---|---|
| author | Yastrubenko, M.I. |
| author_facet | Yastrubenko, M.I. |
| citation_txt | The given level attainment problem and material destruction / M.I. Yastrubenko // Functional Materials. — 2007. — Т. 14, № 1. — С. 19-23. — Бібліогр.: 5 назв. — англ. |
| collection | DSpace DC |
| container_title | Functional Materials |
| description | In frameworks of percolation scenario of material destruction, the general stochastic model is proposed. It is connected with the so-called attainment problem of the given level E > 0 in the case of independent, equally distributed, non-negative random variables εk, k = 1, 2, ... . The asymptotic formula for the probability distribution of random instant of the level E > 0 attainment is proved when the absorbed destructive energy is large. It is done in the case when Eh possess a finite second moment and their sums have an absolutely continuous probability distribution with the bounded density. 
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| first_indexed | 2025-12-07T16:30:55Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-135610 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1027-5495 |
| language | English |
| last_indexed | 2025-12-07T16:30:55Z |
| publishDate | 2007 |
| publisher | НТК «Інститут монокристалів» НАН України |
| record_format | dspace |
| spelling | Yastrubenko, M.I. 2018-06-15T12:47:16Z 2018-06-15T12:47:16Z 2007 The given level attainment problem and material destruction / M.I. Yastrubenko // Functional Materials. — 2007. — Т. 14, № 1. — С. 19-23. — Бібліогр.: 5 назв. — англ. 1027-5495 https://nasplib.isofts.kiev.ua/handle/123456789/135610 In frameworks of percolation scenario of material destruction, the general stochastic model is proposed. It is connected with the so-called attainment problem of the given level E > 0 in the case of independent, equally distributed, non-negative random variables εk, k = 1, 2, ... . The asymptotic formula for the probability distribution of random instant of the level E > 0 attainment is proved when the absorbed destructive energy is large. It is done in the case when Eh possess a finite second moment and their sums have an absolutely continuous probability distribution with the bounded density. 
 Remove selected en НТК «Інститут монокристалів» НАН України Functional Materials The given level attainment problem and material destruction Задача досягнення заданого рівня та руйнування матеріалу Article published earlier |
| spellingShingle | The given level attainment problem and material destruction Yastrubenko, M.I. |
| title | The given level attainment problem and material destruction |
| title_alt | Задача досягнення заданого рівня та руйнування матеріалу |
| title_full | The given level attainment problem and material destruction |
| title_fullStr | The given level attainment problem and material destruction |
| title_full_unstemmed | The given level attainment problem and material destruction |
| title_short | The given level attainment problem and material destruction |
| title_sort | given level attainment problem and material destruction |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/135610 |
| work_keys_str_mv | AT yastrubenkomi thegivenlevelattainmentproblemandmaterialdestruction AT yastrubenkomi zadačadosâgnennâzadanogorívnâtaruinuvannâmateríalu AT yastrubenkomi givenlevelattainmentproblemandmaterialdestruction |