PSI - Issue 2_B

Marina Davydova et al. / Procedia Structural Integrity 2 (2016) 1936–1943 Author name / Structural Integrity Procedia 00 (2016) 000–000

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4. Conclusions The analysis of interparticle pore distribution in non-deformed samples help us to explain the experimental results of dynamic fragmentation of ZrO 2 ceramics. Variation in power law exponent (Fig.1b) of the fragment size distribution for sample with porosity 30% is due to the considerable number of pores and scattering of pore size in the range from 0.7 to 3mm 2 . Stable statistics (distributions for different region of the sample are described by the same law) for sample with porosity 2% yields a small variation in the power law exponent (Fig.1a) at different values of loading energy. The presence of a large number of pores and scaling in pore size (upper plot in Fig. 4) provide the distance between the defects comparable with the pore size. Therefore, we observe more fracture events (~ 18 times greater) and time scaling (green plot) in the samples with 30% porosity.

Fig. 5 .Area-perimeter plot.

Acknowledgements The author would like to acknowledge the Russian Science Foundation (grant № 14-19-01173). References Davydova, M., Uvarov, S., Chudinov, V., 2015. Statistical Laws of Dynamic Fragmentation of ZrO 2 Ceramics. Applied Mechanics and Materials 784, 468-475. Davydova, M., Uvarov, S., Naimark, O., 2016. Space-Time Scale Invariance in Dynamically Fragmented Quasi-Brittle Materials. Phys. Mesomechanics 19, 86-92. Kalatur, E., Kozlova, A., Buyakova, S., Kulkov, S., 2013. Deformation Behavior of Zirconia-based Porous Ceramics. IOP Conf. Series:

Materials Science and Engineering 47 , 012004 Feder, J., 1988. Fractals. Plenum Press, New York