Inverse structural states of the stochastic deformation field of fractal dislocation
New structural states of fractal dislocation are investigated on the basis of fractional calculation theory and Hamilton operators. In order to describe the behaviour of the stochastic deformation field of a fractal dislocation within the framework of the statistical approach, average complex functi...
Збережено в:
| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Донецький фізико-технічний інститут ім. О.О. Галкіна НАН України
2013
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| Назва видання: | Физика и техника высоких давлений |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/69635 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Inverse structural states of the stochastic deformation field of fractal dislocation / V.S. Abramov // Физика и техника высоких давлений. — 2013. — Т. 23, № 3. — С. 54-62. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | New structural states of fractal dislocation are investigated on the basis of fractional calculation theory and Hamilton operators. In order to describe the behaviour of the stochastic deformation field of a fractal dislocation within the framework of the statistical approach, average complex functions are introduced. Numerical modelling of the complex deformation field behaviour is fulfilled on a rectangular discrete lattice. It is shown that for inverse (with a negative fractal index) states of a fractal dislocation, there is an interval of change of this index with anomalous behaviour of the deformation field: there is no effective attenuation within the interval. The introduced functions allow to educe the presence of quantum and unusual statistical properties of the deformation field. |
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