A Discrete Crack Dynamics Model of Toughening in Brittle Polycrystalline Material by Crack Deflection M. T. Ebrahimi a,* , D. S. Balint b , A. P. Sutton a , D. Dini b,* The affiliations and addresses a Department of Physics, Imperial College London, Exhibition Rd, London SW7 2AZ, UK b Department of Mechanical Engineering, Imperial College London, Exhibition Road, London SW7 2AZ,UK Abstract This paper focuses on the study of the effect of the interfacial strength of grain boundaries and elliptical inclusions on crack path deflection. The method is de- veloped to channel a crack into a toughening configuration (arrays of elliptical holes and inclusions are considered) in order to obtain the optimised microstruc- ture required to enhance fracture toughness through different mechanisms. The proposed technique is shown to reproduce experimental crack propagation paths in various configurations and is capable of capturing the effect of that variation of the GB and the inclusion interfacial strength; it provides a powerful tool to understand the interplay between microstructural features and improve materials performance. Keywords: Interfacial energy, Grain boundary, Discrete Crack Dynamics Nomenclature ij Kronecker delta Γ Fracture energy Γ 0 Fracture energy of the matrix material * Corresponding author Email addresses: [email protected] (M. T. Ebrahimi), [email protected] (D. Dini) Preprint submitted to Journal of Engineering Fracture Mechanics March 4, 2019