Volume 43 Issue 10
Oct.  2023
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ZHANG Zhifan, LI Hailong, ZHANG Guiyong, ZONG Zhi, JIANG Yichen. Action time sequence of underwater explosion shock waves and shaped charge projectiles[J]. Explosion And Shock Waves, 2023, 43(10): 102201. doi: 10.11883/bzycj-2022-0397
Citation: ZHANG Zhifan, LI Hailong, ZHANG Guiyong, ZONG Zhi, JIANG Yichen. Action time sequence of underwater explosion shock waves and shaped charge projectiles[J]. Explosion And Shock Waves, 2023, 43(10): 102201. doi: 10.11883/bzycj-2022-0397

Action time sequence of underwater explosion shock waves and shaped charge projectiles

doi: 10.11883/bzycj-2022-0397
  • Received Date: 2022-09-16
  • Rev Recd Date: 2023-02-17
  • Publish Date: 2023-10-27
  • Damage elements such as high-speed explosively-formed projectiles and strong discontinuous shock waves are generated during the process of the shaped charge associated with the underwater explosion. The theory on the action time sequence of the explosively-formed projectile and the shock wave should be refined because their action time is close. Therefore, it is of great significance to investigate the action time sequence of different loads and their damage on ship structures. First, the formulations of acceleration and velocity equations are deduced in the forming process of the explosively-formed projectile, based on the contact explosion theory and Newton’s second law. Subsequently, based on the Eulerian governing equations, numerical models of air and water explosions of shaped charges are established. The evolution of pressure at the interaction of the charge and the liner is obtained. The acceleration and velocity equations of the explosively-formed projectile are presented quantitatively in this paper as a result. Besides, the obtained theoretical formulation can be utilized to solve the problem of the action time sequence of the explosively-formed projectile and direct shock wave. In order to verify the reliability of this theoretical formulation, the case in which the air cavity length is five times of the charge radius is studied. The numerical results are in general agreement with those of the theoretical derivation. The results show that when the length of the air cavity is five times of the charge radius and the stand-off distance is greater than three times of the charge radius, the shock wave precedes the explosively-formed projectile. The basic form of theoretical formulas is presented for the acceleration and velocity of the explosively-formed projectile. Moreover, the idea of solving the action time sequence problem of these two loads provides a theoretical basis for analyzing the action time sequence of underwater explosions.
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