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Shock impact failure of polycrystalline microstructures: Modeling and simulation

: Steinhauser, M.O.

Baker, E. ; National Defense Industrial Association -NDIA-; National Defense Industrial Association -NDIA-, Ballistics Division; International Ballistics Society -IBS-:
26th International Symposium on Ballistics 2011. Proceedings. CD-ROM : Miami, Florida, 12 - 16 September 2011
Lancaster, Pa.: DEStech Publications, 2011
ISBN: 978-1-60595-052-5
S.1492-1499 (Vol.2)
International Symposium on Ballistics <26, 2011, Miami/Fla.>
Fraunhofer EMI ()

Shock wave failure behavior of polycrystalline brittle materials is investigated based on two approaches on different length scales. Within the framework of particle dynamics simulations we model a macroscopic ceramic tile as network of overlapping particles of microscopic size. Using Lennard-Jones type potentials, we integrate the Newtonian equations of motion and perform shock load simulations in the edge-on impact (EOI) configuration. We show that the experimentally observed crack patterns can be explained by the random distribution of particle overlaps and the thereby generated differences in the local strength of the material. Alternatively, we use power diagrams - a generalization of ordinary Voronoi diagrams to n dimensions - to generate realistic three-dimensional polyhedral cell complexes of granular materials, which are subsequently optimized against the two-dimensional experimental data, meshed and simulated using a finite element approach. Our obtained results concerning crack initiation and propagation in the material agree well with corresponding high-speed EOI experiments.