Table 4 Fitting results and MAD and MAE using four nonlinear criterions for conventional triaxial strength.

Serial number	σ_∞ (MPa)	σ_c (MPa)	m	R²	MM-C criterion		MH-B criterion		Exponential criterion		Proposed criterion
Serial number	σ_∞ (MPa)	σ_c (MPa)	m	R²	MAE (%)	MAD	MAE (%)	MAD	MAE (%)	MAD	MAE (%)	MAD
1	405.94	293	0.46	0.997	3.18	13.2	3.05	12.64	0.97^a	3.64^a	1.07	4.89
2	257	81	0.77	0.999	3.69	5.8	2.2	3.13	1.65	2.85	0.91^a	1.79^a
3	344.67	60	0.76	0.998	3.63	3.66	1.83	3.13	3.21	3.6	1.52^a	2.84^a
4	308.9	61.6	0.65	0.999	5.23	4.12	1.98	2.75	4.6	3.64	0.66^a	1.36^a
5	432.1	96.2	0.8	0.993	3.17	7.5	2.18^a	6.09^a	2.3	6.65	2.27	6.17
6	209.3	52	0.72	0.997	4.7	2.96	2.08	2.27	2.4	2.63	1.42^a	1.69^a
7	170.87	30.6	0.64	0.996	8.47	5.01	2.63	3.17	3	3.75	1.85^a	2.45^a
8	655.56	62	0.66	0.992	6.51	9.88	2.18	6.44	5.2	8.75	1.81^a	5.87^a
9	89.6	44	0.63	0.997	2.43	1.8	1.73	1.31	0.52^a	0.58^a	1.31	1.27
10	400.8	100	0.66	0.999	4.84	6.7	0.92	2.63	0.9	2.83	0.83^a	2.24^a
Average	–	–	–	0.997	4.59	6.06	2.08	4.36	2.48	3.89	1.37	3.06

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