International Conference «Mathematical and Informational Technologies, MIT-2013»
(X Conference «Computational and Informational Technologies for Science,
Engineering and Education»)

Vrnjacka Banja, Serbia, September, 5–8, 2013

Budva, Montenegro, September, 9-14, 2013

Dambaev Z.G.  

Mathematical modelling of stress waves in the explosion related charges for directional rock failure

Numerical method of dynamic theory of elasticity is applied for the problem solution, and interaction of dynamic stress waves between related cylindrical cavities is discussed.
While hyperbolic equations solving we apply the "cross" type differencing schemes with the use of noncentral MacCormack scheme, which simplify the program logic and include heterogeneous members with ease.
The problem of instantaneous pressure generation in cavity chamber, i.e. the problem of steady pressure of the explosion products, is studied in detail. Dynamic load in the charging chamber is modeled, i.e. boundary conditions for the changes in pressure over time are simulated.
The results of numerical calculation of the stress state on the line of charges and in orthogonal directions are presented. In this case, decrement of the destructive action around the battery cavity is observed, herewith emergence of asymmetric stress field appears less.
Further increment of time of pressure rise does not change the nature of the stress distribution in principle, but asymmetry of the stress field is even less. It is necessary while optimization of dynamic loads to show the effect of the radial cracking formation on the line of the charge and thereby to increase the probability of preservation of rock mass outside the circuit.
Numerical results confirm that the modes of explosive loading of the rock mass significantly influence the formation of the dynamic stress-strain state of the array.

Abstracts file: dambaev_.doc
Full text file: Dambaev.pdf

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