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The fracture process zone of the crack formed a dog-bone shape in the form of a triangular region with its base at the crack tip, where more and more dislocations were accumulated before the crack tip. Dislocations, acting as obstacles to crack propagation, were observed to travel up to the crack tip, form a pile-up in the tensile direction in front of the crack tip and cause an accumulation of dislocations in the vicinity of the crack tip in a region ∼200 μm from the crack tip (Fig. 3c,d,f). This dislocation pile-up at the crack tip and the accumulation of dislocations in the crack process zone led to a reduction in the stress intensity factor of the crack tip (Fig. 3e). The stress intensity factor of the crack tip was calculated using the following equation: σ1 = K1/μd, where K1 is the stress intensity factor at the crack tip, μ is the elastic modulus of the material and d is the crack length. Here, σ1 is the local stress acting at the crack tip and is calculated from the maximum principal stress component, μ is the elastic modulus and d is the crack length. K1 is calculated using the following equation: K1 = 3μ½ (G1 - G0)/2, where G0 is the stress intensity factor (SIF) of a crack in the absence of any other crack, and G1 is the SIF for a crack of length d in the presence of a crack of length d. Here, G0 was assumed to be zero since all the cracks were assumed to have the same length of d (i.e., d = 200 μm). The calculated values of σ1 were also compared with experimental values obtained by breaking samples under the same conditions of loading. The results clearly showed that the calculated σ1 values were similar to the experimental ones. Thus, it can be inferred that the dislocation pile-up and the accumulation of dislocations in the crack process zone played an important role in the toughening of the composite bone samples.
In addition to the crack-bridging process, the crack ran along the crack path, which was the interface between the two nonlinear-deformed regions. This crack path was found to be higher than the crack path of the same size in the bulk of the sample for both the crack paths in the uniaxial tensile tests (Supplementary Fig.
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