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has been cited by the following article:

• TITLE: Finite Difference Simulation of Implosive Collapsing for Aluminum Spherical Shell

  AUTHORS: Weicheng Bi, Banghai Jiang, Chenglong Han

  KEYWORDS: Implosive Collapse; Spherical Shell Finite Difference; Numerical Simulation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.8, August 9, 2018

  ABSTRACT: Implosive collapsing for spherical metal shells is a kind of dynamic compressing method, in which high pressure and high compression degree of materials can be attained. In present work, the dynamic process of implosive collapsing for spherical metal shells was regard as spherical symmetry ideally, so one-dimensional spherical symmetric fluid dynamics conservation equations were established, and the finite difference schemes for solving these equations were given. An aluminum spherical shell was assumed, whose inner radius is 4cm and thickness is 2 cm. In numerical simulation, initial centripetal velocities (800, 1000 and 1200 m/s) were used to make aluminum spherical shell collapse. The simulation results show that during the process of implosive collapsing, the material exhibits a compression-expansion-compression pulsation process, and the internal pressure changes and distribution are consistent with the theoretical expectations. The simulation results can be used as a reference for relevant analysis.