An innovative approach for bond strength modeling in FRP strip-to-concrete joints using adaptive neuro–fuzzy inference system

Abstract

In this study, a new computational approach for determination of the bond strength of fibre reinforced polymer (FRP) strip-to-concrete joints is presented based on adaptive neuro–fuzzy inference system (ANFIS). For this purpose, 150 experimental data were gathered from the literature. The number of 120 data was used to train the system, and the other 30 were applied to the test. Six parameters including the compressive strength of the concrete, width of the concrete prism, FRP thickness, FRP modulus of elasticity, FRP bond length and FRP width were utilized to determine the bond strength. The results of the proposed ANFIS show high accuracy in the model. A comparison study with other published equations was also done, and it was concluded that ANFIS had less error and also had better results in comparison with other existing methods. Finally, a sensitivity analysis was done to investigate the relative importance of each input parameter on the target.

Appendix 1

	$b_{c}$(mm)	$f_{\text{c}}^{\prime }$ (MPa)	$b_{\text{f}}$ (mm)	$t_{\text{f}}$ (mm)	$E_{\text{f}}$ (GPa)	L (mm)	$P_{\text{u}}$ (kN)	Using type
Chajes et al. [3]	228.2	36.1	25.4	1.02	106	76.2	8.46	Train
	228.2	47.1	25.4	1.02	106	76.2	10.4	Test
	228.2	43.6	25.4	1.02	106	76.2	10.62	Test
	228.2	24.1	25.4	1.02	106	76.2	9.87	Test
	228.2	28.9	25.4	1.02	106	76.2	9.34	Train
	228.2	36.4	25.4	1.02	106	50.8	8.09	Train
	228.2	36.4	25.4	1.02	106	101.6	12.81	Train
	152.4	36.4	25.4	1.02	106	152.4	11.92	Train
	152.4	36.4	25.4	1.02	106	203.2	11.57	Train
Takeo et al. [4]	100	28.88	40	0.17	230	100	8.75	Train
	100	26.66	40	0.17	230	100	8.85	Test
	100	28.88	40	0.17	230	200	9.30	Train
	100	26.66	40	0.17	230	200	8.50	Train
	100	28.88	40	0.17	230	300	9.30	Train
	100	26.66	40	0.17	230	300	8.30	Train
	100	24.99	40	0.17	230	100	8.80	Train
	100	26.17	40	0.17	230	100	8.41	Train
	100	24.4	40	0.17	230	100	7.89	Train
	100	24.99	40	0.33	230	100	11.4	Test
	100	24.99	40	0.5	230	100	13.5	Test
	100	24.4	40	0.17	230	100	11.23	Train
	100	49.97	40	0.17	230	100	7.9	Train
	100	24.99	40	0.11	230	100	7.7	Test
	100	26.17	40	0.11	230	100	6.95	Train
Zhao et al. [5]	150	16	100	0.08	240	100	11.0	Train
	150	16	100	0.08	240	150	11.25	Train
	150	28.63	100	0.08	240	100	12.5	Train
	150	28.63	100	0.08	240	150	12.5	Train
Ren [6]	150	22.39	20	0.51	83.03	150	5.81	Train
	150	22.39	50	0.51	83.03	150	10.6	Train
	150	22.39	80	0.51	83.03	150	18.23	Test
	150	35.33	20	0.51	83.03	100	4.63	Test
	150	35.33	20	0.51	83.03	150	5.77	Train
	150	35.33	50	0.51	83.03	60	9.42	Train
	150	35.33	50	0.51	83.03	100	11.03	Train
	150	35.33	50	0.51	83.03	150	11.8	Train
	150	35.33	80	0.51	83.03	100	14.65	Train
	150	35.33	80	0.51	83.03	150	16.44	Train
	150	43.29	20	0.51	83.03	100	5.99	Train
	150	43.29	20	0.51	83.03	150	5.9	Test
	150	43.29	50	0.51	83.03	100	9.84	Train
	150	43.29	50	0.51	83.03	150	12.28	Train
	150	43.29	80	0.51	83.03	100	14.02	Test
	150	43.29	80	0.51	83.03	150	16.71	Test
	150	22.39	20	0.33	207	150	5.48	Train
	150	22.39	50	0.33	207	150	10.02	Train
	150	22.39	80	0.33	207	150	19.27	Train
	150	35.33	20	0.33	207	100	5.54	Test
	150	35.33	20	0.33	207	150	4.61	Train
	150	35.33	50	0.33	207	100	11.08	Train
	150	43.29	20	0.33	207	100	5.78	Train
	150	43.29	50	0.33	207	100	12.95	Test
	150	43.29	50	0.33	207	150	16.72	Train
	150	43.29	80	0.33	207	100	16.24	Train
	150	43.29	80	0.33	207	150	22.8	Train
Yao et al. [7]	150	23	25	0.17	256	75	5.24	Train
	150	23	25	0.17	256	85	5.85	Train
	150	23	25	0.17	256	95	6	Train
	150	23	25	0.17	256	115	6.08	Train
	150	23	25	0.17	256	145	6.11	Test
	150	23	25	0.17	256	190	6.69	Train
	150	27.1	25	0.17	256	100	5.94	Train
	150	27.1	50	0.17	256	100	11.66	Train
	150	27.1	75	0.17	256	100	14.63	Train
	150	27.1	100	0.17	256	100	19.07	Train
	150	18.9	25	0.17	256	95	5.64	Train
	150	19.8	25	0.17	256	95	6.10	Train
	150	21.1	15	0.17	256	95	4.11	Train
	150	21.1	25	0.17	256	95	6.26	Train
	150	21.1	50	0.17	256	95	12.22	Train
	150	21.1	75	0.17	256	95	14.29	Train
	150	21.1	100	0.17	256	95	15.58	Train
	150	24.9	25	0.17	256	95	6.71	Train
	150	24.9	25	0.17	256	145	6.91	Train
	150	24.9	25	0.17	256	190	7.26	Train
	150	24.9	25	0.17	256	240	6.7	Test
Sharma et al. [8]	100	29.7	50	1.2	165	100	18.25	Train
	100	29.7	50	1.2	165	130	24.5	Train
	100	29.7	50	1.2	165	150	28.44	Test
	100	29.7	50	1.2	165	175	32.00	Test
	100	29.7	50	1.2	165	200	34.22	Train
	100	29.7	50	1.2	165	250	33.14	Train
	100	29.7	50	1.2	165	300	34.24	Train
	100	35.8	50	1.2	210	150	30.40	Test
	100	35.8	50	1.2	210	180	34	Train
	100	35.8	50	1.2	210	190	36	Train
	100	35.8	50	1.2	210	200	36.02	Test
	100	35.8	50	1.2	210	230	37.02	Train
	100	35.8	50	1.2	210	255	36.8	Train
	100	29.7	50	1.2	300	160	38.02	Train
	100	29.7	50	1.2	300	180	41.15	Train
	100	29.7	50	1.2	300	200	46.35	Train
	100	29.7	50	1.2	300	250	45.5	Test
	100	29.7	50	1.2	300	300	45.95	Test
Toutanji et al. [9]	200	17	50	0.42	110	100	7.56	Train
	200	17	50	0.66	110	100	9.29	Train
Woo and Yun [10]	200	30	10	1.4	152.2	50	5.15	Test
	200	30	10	1.4	152.2	100	7.55	Train
	200	30	10	1.4	152.2	150	7.7	Train
	200	30	10	1.4	152.2	200	7.9	Train
	200	30	10	1.4	152.2	250	6.25	Train
	200	30	10	1.4	152.2	300	7.58	Train
	200	40	10	1.4	152.2	50	5.1	Train
	200	40	10	1.4	152.2	100	6.85	Train
	200	40	10	1.4	152.2	150	6.35	Test
	200	40	10	1.4	152.2	200	6.95	Train
	200	40	10	1.4	152.2	250	6.8	Train
	200	40	10	1.4	152.2	300	6.4	Train
	200	50	10	1.4	152.2	50	4.55	Train
	200	50	10	1.4	152.2	100	7.1	Train
	200	50	10	1.4	152.2	150	7.78	Train
	200	50	10	1.4	152.2	200	7.65	Test
	200	50	10	1.4	152.2	250	6.8	Train
	200	50	10	1.4	152.2	300	7.25	Train
	200	30	30	1.4	152.2	50	9.3	Test
	200	30	30	1.4	152.2	100	16.25	Test
	200	30	30	1.4	152.2	150	16.2	Train
	200	30	30	1.4	152.2	200	22.1	Train
	200	30	30	1.4	152.2	250	15.6	Train
	200	30	30	1.4	152.2	300	15.85	Train
	200	40	30	1.4	152.2	50	9.15	Train
	200	40	30	1.4	152.2	100	14.9	Train
	200	40	30	1.4	152.2	150	16.05	Train
	200	40	30	1.4	152.2	200	16.15	Train
	200	40	30	1.4	152.2	250	16.11	Train
	200	40	30	1.4	152.2	300	16.9	Train
	200	50	30	1.4	152.2	50	9.2	Train
	200	50	30	1.4	152.2	100	17.8	Train
	200	50	30	1.4	152.2	150	15.22	Train
	200	50	30	1.4	152.2	200	18.5	Train
	200	50	30	1.4	152.2	250	19	Train
	200	50	30	1.4	152.2	300	17.73	Train
	200	30	50	1.4	152.2	50	13.3	Train
	200	30	50	1.4	152.2	100	26	Train
	200	30	50	1.4	152.2	150	27.8	Test
	200	30	50	1.4	152.2	200	27.2	Train
	200	30	50	1.4	152.2	250	24.84	Train
	200	30	50	1.4	152.2	300	23	Train
	200	40	50	1.4	152.2	50	10.7	Train
	200	40	50	1.4	152.2	100	24.5	Train
	200	40	50	1.4	152.2	150	27.45	Test
	200	40	50	1.4	152.2	200	19.3	Train
	200	40	50	1.4	152.2	250	21.9	Train
	200	40	50	1.4	152.2	300	27.3	Train
	200	50	50	1.4	152.2	50	10.8	Train
	200	50	50	1.4	152.2	100	16	Train
	200	50	50	1.4	152.2	150	21.25	Train
	200	50	50	1.4	152.2	200	25	Train
	200	50	50	1.4	152.2	250	24.9	Train
	200	50	50	1.4	152.2	300	34	Test