Mathematical model of the development of the wedging crack in the disturbed material

Abstract


The article represents the numerical solution of the problem of the increasing wedging crack in the disturbed material. Solution of problem was achieved by the method of discontinuous displacements. Analytical dependences of the stress intensity factors of the first type on the normal displacements of the crack was determined.

About the authors

Ekaterina V Spiridonova

Orenburg State University

Email: skatyusha@rambler.ru
старш. преподаватель, каф. математического анализа; Оренбургский государственный университет; Orenburg State University

Svetlana V Beloborodova

Orenburg State University

Email: svetabelkhor@yandex.ru
аспирант, каф. математического анализа; Оренбургский государственный университет; Orenburg State University

References

  1. Черепанов Г. П. Механика разрушения горных пород в процессе бурения. М.: Недра, 1987. 308 с.
  2. Хямяляйнен В. А., Бурков Ю. В., Сыркин П. С. Формирование цементационных завес вокруг капитальных горных выработок. М.: Недра, 1994. 400 с.
  3. Crouch S. L., Starfield A. M. Boundary element methods in solid mechanics: with applications in rock mechanics and geological engineering. London - Boston - Sydney: George Allen & Unwin, 1983. 322 pp.
  4. Линьков А. М. Комплексный метод граничных интегральных уравнений теории упругости. СПб.: Наука, 1999. 382 с

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