Figure 3
A universal ductile-to-brittle criterion.
(a), Nearly linear correlation between C12-C44 and G/B for those Al12X aluminides. (b), The correlation in a is further extended to a large scale data collected for 332 compounds (571 group data sets; Supplementary Tables S2 and S3) from literature. (c), A renormalized hyperbolic correlation derived by dividing Young modulus E from (C12-C44) for all the summarized data of b. The horizontal line of C12-C44 denotes the critical zero Cauchy pressure defined by Pettifor31, whereas the vertical line of G/B = 0.571 corresponds to critical Pugh's modulus ratio defined by Pugh30. (d), The relation between Cauchy pressure and the experimental ultimate intensile strength (UTS)38 for selected solid phases with cubic lattice of some pure elements. For details, see text.
