Conclusions
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1.
On the basis of a dilatancy model of the plasticity of a rock mass [1] elastic-plastic relationships between the stress and strain are deduced for complete and incomplete plasticity.
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2.
Dilatancy laws are obtained for cylindrical and spherical symmetry.
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3.
Cylindrical and spherical wave propagation is considered by solving the dynamics equations within the framework of the model mentioned.
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4.
The laws obtained for the stress wave propagation velocity and the damping of the maximal amplitudes in the wave are in agreement with those in [3] and correspond to test results.
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5.
A piecewise-continuous approximation of the variable A is indicated that agrees with experiments.
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6.
The applicability of the model to the description of rock mass properties under dynamic loading is shown.
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Literature Cited
A. M. Kovrizhnykh, “Variant on a theory of plastic deformation of massive rock,” Fiz.-Tekh. Probl. Razrab. Polezn. Iskop., No. 1 (1983).
M. A. Sadovskii (ed.) Mechanical Effect of an Underground Explosion [in Russian], Nedra, Moscow (1971).
E. I. Shemyakin, “Stress waves in strong massive rocks,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1963).
Additional information
Institute of Mining, Siberian Branch, Academy of Science of the USSR, Novosibirsk. Translated from Fiziko-Tekhnicheskie Problemy Razrabotki Poleznykh Iskopaemykh, No. 4, pp. 24–31, July–August, 1985.
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Taran, É.P., Kovrizhnykh, A.M. Stress wave propagation in a medium with internal friction. Soviet Mining Science 21, 288–294 (1985). https://doi.org/10.1007/BF02499830
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DOI: https://doi.org/10.1007/BF02499830