Correction to: Mathematical Modelling of Peak and Residual Shear Strength of Rough Rock Discontinuities Using Continued Fractions

Correction to: Rock Mechanics and Rock Engineering https://doi.org/10.1007/s00603-023-03548-0

In the original publication, some corrections were missed. These corrections are listed below:

- In the abstract: the sentence in bracket should read “(defined as the difference in elevation of two points of the surface over the horizontal distance between these points)”.

- In the highlights: the fourth dot point should read: “75% of the CFR predictions fall within 20% of the experimental data”.

- Section 2.1: The 2nd sentence of the second paragraph should read “Through research, it has been established that only the steepest areas of the surface facing the direction of shearing contribute to the shear response (Grasselli 2001; Grasselli et al. 2002; Jeffery et al. 2022).”

- The last sentence of the paragraph after Eqs. (1) and (2) should read “See Eqs. (12) and (13) in Appendix for the derivation of σ′_{local_i}”.

- The following sentence should read “N_CF is the number of contributing facets on the surface. The total number of triangular facets on the surface depends on the size of the surface and the spatial resolution, as per Appendix”.

- In Sect. 2.3: the total discontinuity area “A_o” should be noted “A_tot-o”, “A” should be noted “A_tot” in the text and Eq. (8).

- In Fig. 3: the normal stress should be effective, i.e. σ′_n.

- In Sect. 3: 2nd dot point should read “The raw dataset was then reduced to 14,000 data points with a specific filtering process to obtain a dataset with specific values of s_di. This dataset is referred to as the reduced dataset.”

- The first sentence of Sect. 3.4 should read: “To create a reduced-size dataset to guide the training phase of the CFR method, 10% of the enriched dataset (a total of 1400 samples) was selected using the following process: the variance of the enriched dataset was first computed”.

- The last sentence of Sect. 4.3 should read: “In 75% of the cases, the discontinuity shear strength can be predicted within ± 20% of the experimental value, which can be considered an excellent result”.

- In Table 6, the unit of standard deviation of gradients s_di should be m/m.

- In the conclusions, the last sentence of the 3rd paragraph should read “Furthermore, the CFR model predictive capability was tested against experimental data of shear area and shear strength, and 75% of the predictions fell within 20% of experimental values, which confirms the excellent performance of the CFR model”.

- In appendix, the notation for number of contributing facets should be N_CF, not N_cf. This applies to Eqs. (15), (16) and (17) and the unnumbered equation under the caption of Fig. 9.