PSI - Issue 35

V.A. Zimina et al. / Procedia Structural Integrity 35 (2022) 188–195 V.A. Zimina, I.Yu. Smolin / Structural Integrity Procedia 00 (2021) 000–000

195

8

the increase of SiC volume fraction. Young’s modulus decreases by 4 %, for the bulk and shear moduli these values amount to 3 % and 4.5 %, consequently. On the other hand, the increase of SiC inclusions in the composite material results in an increase of Poisson’s ratio, which can be seen in Fig. 5. Though, this increase is negligibly small (1.2 %). 4. Conclusion Numerical simulation of three-phase Al 2 O 3 –ZrB 2 –SiC composite under uniaxial tension loading in the conditions of plane strain is presented. Representative volume element consisting of Al 2 O 3 matrix, pores, and ZrB 2 and SiC inclusions was built based on explicit consideration of the real composite microstructure. This approach allowed us to investigate the influence of the structural features of this material on its mechanical behavior. The simulation results indicate that the cracks nucleate in the regions of high stress concentration caused by the pore shape. The Al 2 O 3 matrix of the composite fractured under the influence of tensile pressure, while the fracture in inclusions was performed under accumulated inelastic strain. Another finding of the study concerns the influence of the fraction of SiC inclusions on the effective elastic properties of the composite material. The results showed that the elastic moduli weakly depend on the increase of SiC volume fraction in the considered range from 0 % to 34 %. Acknowledgements The work was performed according to the Government research assignment for ISPMS SB RAS, project FWRW-2019-0035. References Afonso, J., Ranalli, G., 2005. Elastic properties of three-phase composites: Analytical model based on the modified shear-lag model and the method of cells. Composites Science and Technology 65(7), 1264–1275. https://doi.org/10.1016/j.compscitech.2004.12.033 Alejano, L.R., Bobet, A., 2012. Drucker–Prager Criterion, in “ The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring:2007-2014” . In: Ulusay, R. (Ed.): Springer, Cham, pp. 247–252. Balokhonov, R.R., Evtushenko, E.P., Romanova, V.A., Schwab, E.A., Bakeev, R. A., Emelyanova, E.S., Zinovyeva, O.S., Zinovyev, A.V., Sergeev, M.V., 2020. Formation of bulk tensile regions in metal matrix composites and coatings under uniaxial and multiaxial compression. Physical Mesomechanics 23 (2), 135–146. https://doi.org/10.1134/S1029959920020058 Balokhonov, R.R., Romanova, V.A., 2009. The effect of the irregular interface geometry in deformation and fracture of a steel substrate–boride coating composite. International Journal of Plasticity 25, 2025–2044. https://doi.org/10.1016/j.ijplas.2009.01.001 Fahrenholtz, W.G., Hilmas, G.E., Talmy, I. G., Zaykoski, J.A., 2007. Refractory diborides of zirconium and hafnium. Journal of the American Ceramic Society 90, 1347–1364. https://doi.org/10.1111/j.1551-2916.2007.01583.x Fedaoui, K., Baroura, L., Arar, K., Amrani, H., Boutaani, M.S., 2021. On the effect of stiffness/softness and morphology of interphase phase on the effective elastic properties of three-phase composite material. Frattura ed Integrità Strutturale 55, 36–49. https://doi.org/10.3221/IGF ESIS.55.03 Guo, S.-Q., 2009. Densification of ZrB2-based composites and their mechanical and physical properties: a review. Journal of the European Ceramic Society 29, 995–1011. https://doi.org/10.1016/j.jeurceramsoc.2008.11.008 Lin, P.J., Ju, J.W., 2009. Effective elastic moduli of three-phase composites with randomly located and interacting spherical particles of distinct properties. Acta Mechanica 208, 11–26. https://doi.org/10.1007/s00707-008-0114-7 Liu, L.P., 2010. Hashin-Shtrikman bounds and their attainability for multiphase composites. Proceedings of The Royal Society A. 466, 3693– 3713. https://doi.org/10.1098/rspa.2009.0554 Mikushina, V.A., Smolin, I.Yu., 2019. Numerical modeling of the deformation and fracture of a porous alumina ceramics at mesoscale. Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 58, 99–108. https://doi.org/10.17223/19988621/58/8 Selezneva, M., Roy, S., Lessard, L., Yousefpour, A., 2016. Analytical model for prediction of strength and fracture paths characteristic to randomly oriented strand (ROS) composites. Composites Part B: Engineering 96, 103–111. https://doi.org/10.1016/j.compositesb.2016.04.017 Wang, R., Li, D., Wang, X., Li, W., 2019. A novel and convenient temperature dependent fracture strength model for the laminated ultra-high temperature ceramic composites. Journal of Alloys and Compounds 771, 9–14. https://doi.org/10.1016/j.jallcom.2018.08.253 Wilkins, M.L., 1999. Computer simulation of dynamic phenomena. Berlin: Springer-Verlag. Young, B.A., Fujii, A.M.K., Thiele, A.M., Kumar, A., Sant, G., Taciroglu, E., Pilon, L., 2016. Effective elastic moduli of core-shell-matrix composites. Mechanics of Materials 92, 94–106. https:// doi.org/10.1016/j.mechmat.2015.09.006