PSI - Issue 52

Thi Ngoc Diep Tran et al. / Procedia Structural Integrity 52 (2024) 366–375 Thi Ngoc Diep Tran/ Structural Integrity Procedia 00 (2019) 000 – 000

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loading, since they define the stress concentration sites and lead to crack formation. Accordingly, this model has lower tensile strength than the model without rotated particle corners. • Particles arranged in an aligned arrangement produce the highest tensile strength. In contrast, the tensile strengths of models with circular and elliptical particles are not much different and are also the lowest. It can be concluded from these results that an arranged particle distribution with minimum clusters of large particles would be preferred to avoid unexpected crack deflection and improve the tensile strength. Acknowledgements The financial support of the Darmstadt University of Applied Sciences and Hessian Ministry of Research and the Arts is gratefully acknowledged. We acknowledge financial support by the Research Center Material and Process Technology of Darmstadt University of Applied Sciences (fz mpt). The Author Thi Ngoc Diep Tran would like to thank Vinit Deshpande for his support throughout this research project. References Ayyar, A., Chawla, N., 2006. Microstructure-based modeling of crack growth in particle reinforced composites . Composites Science and Technology 66(13), 1980–1994. Eshelby, J. D., 1957. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceedings of the Royal Society of London 241(1226), 376–396. Fahrmeir, L., Heumann, C., Künstler, R., Pigeot, I., Tutz, G., 2016. Statistik: Der Weg zur Datenanalyse. Springer-Verlag, pp.581. Hashin, Z., Shtrikman, S, 1963. A variational approach to the theory of the elastic behaviour of multiphase materials. Journal of the Mechanics and Physics of Solids 11(2), 127–140. Kashtalyan, M., Piat, R., Guz, I., 2016. Transverse cracking in metal/ceramic composites with lamellar microstructure. Procedia Structural Integrity 2, 3377-3384. Klusemann, B., Svendsen, B., 2010. Homogenization methods for multi-phase elastic composites: Comparisons and benchmarks. Technische Mechanik - European Journal of Engineering Mechanics 30(4), 374–386. Liu, Y., Glass, G. A., 2013. Effects of Mesh Density on Finite Element Analysis. In SAE technical paper series. https://doi.org/10.4271/2013-01 1375 Murakami, S., 2012. Continuum Damage Mechanics: A Continuum Mechanics Approach to the Analysis of Damage and Fracture . Springer Science & Business Media, pp. 402. Papula, L., 2017. Mathematische Formelsammlung: Für Ingenieure und Naturwissenschaftler . Springer-Verlag, pp.546. Qu, Z., Xiao, H., Lv, M., Wang, X., Wang, P., Xu, L., 2019. Influence of Strengthening Material Behavior and Geometry Parameters on Mechanical Behavior of Biaxial Cruciform Specimen for Envelope Material . Materials 12(17), 2680. Shang, J. K., Yu, W., & Ritchie, R. O., 1988. Role of silicon carbide particles in fatigue crack growth in SiC-particulate-reinforced aluminum alloy composites. Materials Science and Engineering A-structural Materials Properties Microstructure and Processing, 102(2), 181–192. Shen, Q., Yuan, Z., Liu, H., Zhang, X., Fu, Q., Wang, Q., 2020. The damage mechanism of 17vol.%SiCp/Al composite under uniaxial tensile stress. Materials Science and Engineering A-structural Materials Properties Microstructure and Processing, 782, 139274. Simulia, 2018. ABAQUS [Software]. https://www.3ds.com/products-services/simulia/ Sun, W., Duan, C., Yin, W., 2020. Development of a dynamic constitutive model with particle damage and thermal softening for Al/SiCp composites. Composite Structures, 236, 111856. The MathWorks Inc., 2022. MATLAB (Version: 9.11.0.1809720). https://www.mathworks.com Van Rossum, G., Drake Jr, F. L.,1995. Python reference manual. Centrum voor Wiskunde en Informatica Amsterdam. Wang, J., Jivkov, A. P., Li, Q., Engelberg, D., 2020. Experimental and numerical investigation of mortar and ITZ parameters in meso-scale models of concrete. Theoretical and Applied Fracture Mechanics, 109, 102722.

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