Erratum for “Formulation of Cross-Anisotropic Failure Criterion for Granular Material” by Yang Xiao, Hanlong Liu, and Gui Yang

Fig. 4(f) in the original paper was lost in the printed paper. It is presented in this erratum.

The parameter $\mathrm{\Omega }$ was mistakenly written as “0:2” in the legend of Figs. 4(a)–(e) on p. 186 of the printed paper. The corrected legend of Fig. 4 is given in this erratum as “Fig. 4. Shapes of cross-anisotropic failure criterion on the octahedral plane for ${\phi }_0=30°$: (a) $\mathrm{\Omega }=0.2$, $\beta =0°$; (b) $\mathrm{\Omega }=0.2$, $\beta =30°$; (c) $\mathrm{\Omega }=0.2$, $\beta =45°$; (d) $\mathrm{\Omega }=0.2$, $\beta =60°$; (e) $\mathrm{\Omega }=0.2$, $\beta =90°$; (f) $\alpha =45°$, $\beta =45°$.”

On p. 185 of the printed paper, the sentence for describing Fig. 4(f) was mistakenly written as “Fig. 4 also presents that the shear strength gets larger at $\theta =0°$ with increasing $\mathrm{\Omega }$ when $\alpha =45°$ and $\beta =45°$, which indicates that the curves move up when $\mathrm{\Omega }>0$ and down when $\mathrm{\Omega }<0$.” It should be rewritten as “Fig. 4(f) also presents that the shear strength gets larger at $\theta =0°$ with increasing $\mathrm{\Omega }$ when $\alpha =45°$ and $\beta =45°$, which indicates that the curves move up when $\mathrm{\Omega }>0$ and down when $\mathrm{\Omega }<0$.”