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Vol 148 No 1
Pages:
159-162
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RUS
Research article
Without section

Dynamics of stochastic instability and fractal nature of fractures

Authors:
K. V. Khalkechev
About authors
  • North Caucasian State Academy
Date submitted:
2000-06-13
Date accepted:
2000-07-15
Date published:
2001-01-01

Abstract

For a long time, the development of our ideas about the fracture process was hampered by the incomplete mathematical description of the conditions near the crack end. In recent years, this subject has attracted considerable research attention, which has led to some important results. However, these theories are also unable to describe the crack growth pattern with sufficient completeness. In this paper, attention is focused on the investigation of equilibrium and non-equilibrium crack propagation conditions at a given location and the prediction of the pattern of its further propagation, as well as on the mechanical and mathematical substantiation of the fractality of the fracture surface.

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References

  1. Гелбаум Б. Контрпримеры в анализе / Б.Гелбаум, Д.Олмстед. М.: Мир, 1967. 229 с.
  2. Лунг Ч. Фракталы и разрушение металлов с трещинами // Фракталы в физике. М.: Мир, 1995. С. 245-247.
  3. Луис Э. Фрактальная природа трещин / Э.Луис, Ф.Гинса, Ф.Флорес // Фракталы в физике. М.: Мир, 1995. С. 260-265.
  4. Паттерсон Р.Л. Экспериментальные методы наблюдения дислокаций / Р.Л.Паттерсон, Х.Вильсдорф. Разрушение. М.: Мир, 1973. С. 204-264.
  5. Родионов В.Н. Основы геомеханики / В.Н.Родионов, И.А.Сизов, В.М.Цветков. М.: Недра, 1986. 301 с.
  6. Стаховский И.Р. Масштабные инварианты в сейсмотектонике / И.Р.Стаховский, Т.П.Белоусов // ДАН РФ. 1966. Т. 347, № 42. С. 252-255.
  7. Стаховский И. Р. Моделирование агрегации трещин в неравновесной среде // Математическое моделирование. 1995. Т.7. № 6. С. 54-63.
  8. Шерман С.И. Новые данные о фрактальной размерности разломов и сейсмичности в Байкальской рифтовой зоне / С.И.Шерман, А.С.Гладков // ДАН РФ. 1998. Т. 361, № 5. С. 685-688.
  9. Mandelbrot В.В. The Fractal Geometry of Nature. Freem. San-Fransisco. 1983. P. 25, 29, 469.

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