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1 Central European Journal of Energetic Materials

1 2017

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An Analytic Investigation of "Hot-Spot" Formation in Compressible Energetic Materials

Li X., Zhao F., Liu J.

Central European Journal of Energetic Materials

2017

Vol. 14, no. 4

806--820

In this paper, the formation of the shock-induced “hot-spot” in compressible energetic materials has been analyzed. By applying the compressible elastic-viscoplastic material model to a hollow sphere, and solving the governing equations with the initial and boundary conditions, this paper proposes an analytic pore collapse model that is able to simulate the viscoplastic deformation which determines the formation of a “hot-spot”. In this new model there are three mechanisms, of which instantaneous deformation and the subsequent quasi-static incompressible deformation dominate “hot-spot” formation, while quasi-static compressible deformation is of little effect. In comparison with the incompressible solution, this model demonstrates that the bulk compressibility has a great influence on “hot-spot” formation, as the degree of the “hot-spot” reaction is a positive quasi-linear function of Poisson’s ratio ν. An error in Kim’s original pore collapse model has also been discussed.