The article examines the motion caused by the explosion of a spherical charge in
elastoplastic continuous media. When a charge explodes, it is assumed that the charge instantly turns
into a high-pressure gas without changing its volume, and this gas spreads into the environment,
forming a shock wave with spherical symmetry. Taking into account the presence of tangential stresses
in inclined areas, equations of one-dimensional dynamic motion of soil are derived, according to
which the patterns of propagation of shock waves in soil massifs during an explosion with spherical
symmetry are studied. To find the limiting state of the soil, the Prandtl plasticity condition was used,
and also when determining the radial stress at the shock wave front, experimental dependencies
between * and i *,i* were used. The general solution of the problem and the necessary
values for its numerical solution in the case of constant density on the shock wave are given
The article examines the motion caused by the explosion of a spherical charge in
elastoplastic continuous media. When a charge explodes, it is assumed that the charge instantly turns
into a high-pressure gas without changing its volume, and this gas spreads into the environment,
forming a shock wave with spherical symmetry. Taking into account the presence of tangential stresses
in inclined areas, equations of one-dimensional dynamic motion of soil are derived, according to
which the patterns of propagation of shock waves in soil massifs during an explosion with spherical
symmetry are studied. To find the limiting state of the soil, the Prandtl plasticity condition was used,
and also when determining the radial stress at the shock wave front, experimental dependencies
between * and i *,i* were used. The general solution of the problem and the necessary
values for its numerical solution in the case of constant density on the shock wave are given
| № | Имя автора | Должность | Наименование организации |
|---|---|---|---|
| 1 | Nabiyev A.N. | DSc, Professor | Tashkent Institute of Chemical Technology |
| 2 | Nabiyev A.A. | Assistant | Tashkent Institute of Chemical Technology |
| № | Название ссылки |
|---|---|
| 1 | 1. Rakhmatulin Х.А., Sagomonyan А.Ya., Alekseev N.А. Soil dynamics issues. М.: Pub. MSU, 1964. 240 p. 2. Lyaxov G.М. Fundamentals of the dynamics of blast waves in soils and rocks. М.: Pub. «Nedra», 1974. 192 p. 3. Grigoryan S.S. On the general equations of soil dynamics // Reports of the RF Academy of Sciences, 1959. vol. 124, № 2. 4. Sagomonyan А.Ya. Stress waves in continuous media. М.: Pub. MSU, 1985. 416 p. |
| 2 | 5. Stroganov A.S. Rock pressures and support for vertical shafts. М.: Gosgortexizdat, 1963. 29-55 p. 6. Nabiyev A.N. Method for determining the basic mechanical properties of soils at high stresses // Dep. Vo VNIIIS Gosstroya, 1986. № 6683-86, 11 p. 7. Nabiyev A.N. One-dimensional motions of an elastoplastic medium with spherical, cylindrical and plane waves // Republican scientific and practical conference "Problems of practical problems of mechanics and mathematics", Tashkent Institute of Chemical Technology, 2022. 172-175 p |
| 3 | 8. Feng J.W., Gu K.K. Geomechanical Modeling of Stress and Fracture Distribution during Contractional Fault-Related Folding // Journal of Geoscience and Environment Protection, 2017. vol.5, №11, 61-94 p. 9. Nabiyev A.N., Usmonov B.Sh., Bondarev R.А. and etc. Strength of materials (theory and practice) // Textbook for high schools, 1-st edition, Tashkent: Pub. "Grand Inter Media", 2023. 435 p. 10. Nabiev A.N. To the study of the problem of propagation of a cylindrical shock wave in an elastoplastic medium // Republican scientific and theoretical conference “Problems of practical problems of mechanics”, Nukus Pedagogical Institute, Nukus, 2018. 90-94 p. 11. Bulat P., Volkov K.N. Model problems of gas dynamics with cylindrical and spherical symmetry, and their solution using weno-schemes // Engineering and Physical Journal, 2017, vol.90, №2, 438-449 p. |
| 4 | 12. Kurinnoy V.P. Study of shock waves in porous media. Interdepartmental sat. scientific tr. // Dnepropetrovsk, 2013. №111, 67-73 p. 13. Kurinnoy V.P. Theoretical foundations of explosive rock destruction. Monograph. Dnepr. 2018. 280 p. 14. Strokova L.A. Soil dynamics. Tutorial. Tomsk: Publishing house of Tomsk Polytechnic University, 2018. 190 p. 15. Budarin V.A. Method for calculating the field of velocities and tangential stresses in an incompressible fluid // East European Journal of Advanced Technologies, 2016. vol. 2, № 7 (74), 43-48 p |
| 5 | 16. Ilyukhin A.V., Marsov V.I., Dzhabrailov Kh.A. and others. Features of the processes of soil development by earthmoving and transport machines // Bulletin of Eurasian Science, 2018. №2, 65-72 p. 17. Yuldashev Sh.S., Saidov S.M., Nabiev M.Ya. Propagation of vibrations in soils arising during the movement of railway trains // Young scientist, 2015. № 11 (91), 481-483 p. 18. Budarin V.A. Analyzing the Influence of a Particle’s Linear and Angular Velocity on the Equations of Liquid Motion, Eastern-European Journal of Enterprise Technologies, 2021. vol. 1, № 5, 109 р. |
| 6 | 19. Ragozina V.E., Dudko O.V. Some properties of elastic dynamics of a medium with preliminary large irreversible deformations // Siberian Journal of Industrial. mathematicians, 2019. vol. XXII, №1 (77), 90-103 p. 20. Nabiev A.N., Nabiev A.A. Propagation of a cylindrical shock wave in soil // Uzbek journal “Problems of Mechanics”, 2023. №3, 80-86 p. 21. Nabiev A.N., Nabiev A.A. Propagation of onedimensional shock stress waves in elastoplastic media during an explosion with spherical and cylindrical symmetry. Monograph, Tashkent: Pub. «SAHHOF», 2023. 224 p. |