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Numerical Study of the Stressed-Deformed State of Rock during Explosive Fracture

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Abstract

The dynamic loading of a rock mass during explosion of a borehole explosive is studied using a continuum mechanics approach in two-dimensional plane and axially symmetric formulations with the aid of a modified finite element method [1, 2]. This numerical technique makes it possible to study wave processes in a rock mass owing to explosions of single charges as well as those of systems of borehole explosives under different conditions. These include varying the site at which the charge is initiated and accounting for the propagation velocity of detonations in the explosive, so it is possible to calculate the shape of the stress field created by a charge with a given design. Numerical simulation of the explosion process for multiple borehole explosive charges with delays relative to one another can be used to obtain the optimum delay time for initiation and the distances between the charges. These results can also extend our concepts of the processes taking place in a rock mass during explosive fracture.

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REFERENCES

  1. A. I. Korneev,A. P. Nikolaev, andI. E. Shipovskii, “Use of the finite element method in problems involving the collision of solid deformable bodies, ” in: Proc. 7th All-Union Conf. on Numerical Methods of Solving Problems in the Theory of Elasticity and Plasticity [in Russian], Nauka, Novosibirsk (1982), pp. 122–129.

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  2. I. E. Shipovskii andL. Ya. Lokshina, “Method for calculating stressed-deformed states of rock masses, ” in: Proc. International Conf. on the Geodynamics and Stressed State of the Earth's Interior [in Russian], SO RAN, Novosibirsk (1999), pp. 56–60.

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  3. K. P. Stanyukovich (ed.), Physics of Explosions [in Russian], Nauka, Moscow (1975).

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  4. M. L. Wilkins, “Calculation of elastoplastic flows, ” in: Computational Methods in Hydrodynamics [Russian translation], Mir, Moscow (1967), pp. 212–263.

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  1. Scientific Research Institute for Geodynamics Problems, Taurian National University, Ukraine

    I. E. Shipovskii

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  1. I. E. Shipovskii
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Shipovskii, I.E. Numerical Study of the Stressed-Deformed State of Rock during Explosive Fracture. Journal of Mathematical Sciences 107, 4403–4408 (2001). https://doi.org/10.1023/A:1012556517555

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  • DOI: https://doi.org/10.1023/A:1012556517555

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