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Multi-phase Modeling on Spall and Recompression Process of Tin Under Double Shockwaves

Fengchao Wu1,*, Xuhai Li1, Yi Sun1, Yuanchao Gan1, Huayun Geng1, Yuying Yu1, Jianbo Hu1

1 Laboratory for Shock Wave and Detonation Physics, Institute of Fluid Physics, China Academy of Engineering Physics, Mianyang, 621900, China

* Corresponding Author: Fengchao Wu. Email:

The International Conference on Computational & Experimental Engineering and Sciences 2023, 26(3), 1-1.


The dynamical response of materials to multiple shock waves is a critical issue in shock physics and engineering applications. In this work, hydrodynamic simulations are used to investigate the shock-induced spall failure and subsequent recompression characteristics of tin, under the implementation of a multiphase equation of state, multi-phase constitutive relations, and a damage model. As within experiments, double shock loadings in simulations are driven by layered impactors with different shock impedances. In general, our numerical calculations agree well with recent tin spall experiments and reproduce the free surface velocity characteristics. Interesting dynamic behaviors such as tin shock compression, dynamic tensile fracture, and void compaction are revealed to occur in succession as a result of complex wave interactions caused by multiple impacts. With increasing shock strength, the appearance of β-γ phase transition or melting not only changes the primary fracture characteristic, but also affects the subsequent compaction state and inter-shock interval, which suggests the significant effect of phase transition and its synergism with spall fracture. Meanwhile, the multi-phase simulation results show that certain parts of the tin material are in the mixed phase state during dynamic loading or unloading, like the coexistence of β phase and γ phase. Although current research provides a quantitative understanding of spall features induced by double shocks, better multiphase material models are needed to improve fidelity in describing complex fracture behaviors.


Cite This Article

Wu, F., Li, X., Sun, Y., Gan, Y., Geng, H. et al. (2023). Multi-phase Modeling on Spall and Recompression Process of Tin Under Double Shockwaves. The International Conference on Computational & Experimental Engineering and Sciences, 26(3), 1–1.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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