Mathematical modeling of the impact of blast waves on underground pipelines
About authors
- 1 — National Mineral Resources University (Mining University)
- 2 — National Mineral Resources University (Mining University)
- 3 — National Mineral Resources University (Mining University)
Abstract
Mathematical modeling of the impact of blast waves on the underground pipeline was composed from general equations of continuum mechanics, shell theory and hydraulics equations. The problem is formulated in the plane formulation for direct integration of the native system of equations chosen method of finite differences. At the contact of the array and the pipeline, boundary conditions of slippage and rigid clamping are considered.
References
- Валландер С.В. Лекции по гидроаэромеханике. Л., 1978. 296 с.
- Годунов С.К. Разностные схемы / С.К.Годунов, В.С.Рябенький. М., 1973. 400 с.
- Новожилов В.В. Линейная теория тонких оболочек / В.В.Новожилов, К.Ф.Черных, Е.И.Михайловский. Л., 1991. 656 с.
- Brian D. Hahn, Edward Arnold. Fortran 90 for Scientists and Engineers. University of Cape Town, 1994. 198 p.
- Nelson I., Baron M.L., Salander I. Mathematical models for geologic materials for wave propagation studies // Shock waves and mechanical properties solids. Syracuse: Univ. press, 1971. P.289-351.