Abstract
Modified cylindrical smoothed particle hydrodynamics (MCSPH) approximation equations are derived for hydrodynamics with material strength in axisymmetric cylindrical coordinates. The momentum equation and internal energy equation are represented to be in the axisymmetric form. The MCSPH approximation equations are applied to simulate the process of explosively driven metallic tubes, which includes strong shock waves, large deformations and large inhomogeneities, etc. The meshless and Lagrangian character of the MCSPH method offers the advantages in treating the difficulties embodied in these physical phenomena. Two test cases, the cylinder test and the metallic tube driven by two head-on colliding detonation waves, are presented. Numerical simulation results show that the new form of the MCSPH method can predict the detonation process of high explosives and the expansion process of metallic tubes accurately and robustly.
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The financial support from the National Natural Science Foundation of China (11272118) is gratefully acknowledged.
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Communicated by N. Thadhani and A. Higgins.
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Yang, G., Han, X. & Hu, D.A. Simulation of explosively driven metallic tubes by the cylindrical smoothed particle hydrodynamics method. Shock Waves 25, 573–587 (2015). https://doi.org/10.1007/s00193-015-0588-x
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DOI: https://doi.org/10.1007/s00193-015-0588-x