On the Role of Hazard and Particle Failure Statistics on the Variation of Fracture Parameters of Ductile-Brittle Composites
Abstract
:1. Introduction
2. Materials and Methods
2.1. Experiment
2.2. Computer Model
- The specimen fracture included two processes: the accumulation of cracked particles and the final coalescence of cracks. No void growth or particle-matrix decohesion was considered. As will be further seen, this assumption agrees with the experimental data obtained at room temperature. It is also corroborated by the literature data testifying that the sphericity of Si particles enhances the resistance to decohesion at the Al/Si interface [41].
- Both the particle sizes and positions within the matrix were chosen randomly in order to highlight the stochastic properties stemming from the probabilistic nature of the particle failure without interference from a possible non-uniform repartition (clustering) of the reinforcement.
- The particle failure was considered to be a random event with the probability depending on the stress on the particle. According to the experiment, no preexisting cracks were introduced. Thus, the modeling of the particle cleavage was based on the assumption of a probabilistic rule and consideration of the load transfer from the matrix to the reinforcement when the strain is increased.
- The criterion of crack connection was based on the requirement for the elastic energy stored around two cracks to be enough to create two free surfaces in the matrix and assure the energy dissipation by the plastic deformation accommodating the near-crack stresses. The model did not distinguish explicitly the effects of the stress triaxiality, global or intervoid necking, or shear banding.
3. Results
3.1. Experimental Evaluation of Deformation and Damage Accumulation Behavior
3.2. Results of Simulation
4. Discussion and Conclusions
Author Contributions
Funding
Acknowledgments
Conflicts of Interest
References
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Parameter | Matrix | Particles |
---|---|---|
Elastic constant, μ (GPa) | 33 | 70 |
Poisson ratio, υ | 0.33 | 0.22 |
Dissipated energy, η (J/m2) | 14 | 6 |
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Lebyodkin, M.; Lebedkina, T. On the Role of Hazard and Particle Failure Statistics on the Variation of Fracture Parameters of Ductile-Brittle Composites. Metals 2019, 9, 633. https://doi.org/10.3390/met9060633
Lebyodkin M, Lebedkina T. On the Role of Hazard and Particle Failure Statistics on the Variation of Fracture Parameters of Ductile-Brittle Composites. Metals. 2019; 9(6):633. https://doi.org/10.3390/met9060633
Chicago/Turabian StyleLebyodkin, Mikhail, and Tatiana Lebedkina. 2019. "On the Role of Hazard and Particle Failure Statistics on the Variation of Fracture Parameters of Ductile-Brittle Composites" Metals 9, no. 6: 633. https://doi.org/10.3390/met9060633