Fuzzy logic model for pullout capacity of near-surface-mounted FRP reinforcement bonded to concrete

Nasrollahzadeh, Kourosh; Afzali, Solmaz

doi:10.1007/s00521-018-3590-2

Fuzzy logic model for pullout capacity of near-surface-mounted FRP reinforcement bonded to concrete

Original Article
Published: 09 July 2018

Volume 31, pages 7837–7865, (2019)
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Kourosh Nasrollahzadeh¹ &
Solmaz Afzali¹

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Abstract

The application of fiber-reinforced polymer (FRP) strips or rods in the form of near-surface-mounted (NSM) reinforcement has become an attractive solution to strengthen the existing buildings and bridges. It is of interest to engineers to have an accurate estimate of the bond capacity of this technique. In this paper, fuzzy logic approach is utilized to propose an alternative method of determining the pullout strength of NSM FRP strips/rods which are bonded to the concrete block. Two types of fuzzy logic models, namely Mamdani and Takagi–Sugeno, are developed. With the aim of enhancing the interpretability of the fuzzy model, the rule base of Mamdani model is extracted from the classification decision tree, and the membership functions corresponding to the linguistic concepts are built by uniform partitioning the range of variables. On the other hand, in order to arrive at closed-form equations for pullout capacity, the subtractive clustering algorithm is employed to deduce the rule base and membership functions of Takagi–Sugeno model (first order), and its consequent part is tuned by the least square optimization using training dataset. Several fuzzy logic models of both types with different numbers of rules are developed and compared in terms of different error measures. To train and validate the fuzzy models, a large database of 384 direct pullout tests on NSM FRP bonded to concrete is assembled from the literature. The results reveal that both of the proposed Mamdani and Takagi–Sugeno models demonstrate good accuracy against the experimental data and outperform the published models. A parametric study indicates that the proposed fuzzy models can predict the maximum effective bond length, and thus, they are able to capture the underlying mechanics of the problem.

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Funding

This research received no specific grant from any funding agency in the public, commercial, or not-for-profit sectors.

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Authors and Affiliations

Department of Civil Engineering, K. N. Toosi University of Technology, P.O. Box 15875-4416, Tehran, Iran
Kourosh Nasrollahzadeh & Solmaz Afzali

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Kourosh Nasrollahzadeh
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Solmaz Afzali
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Correspondence to Kourosh Nasrollahzadeh.

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Appendices

Appendix 1: List of fuzzy rules in the proposed Mamdani model for the pullout capacity of NSM FRP

IF	THEN
1. L = [VL] ⋀ f_c′ = [VL]	P_f = [VL]
2. L = [VL] ⋀ f_c′ ≠ [VL]	P_f = [L]
3. L ≠ [VL] ⋀ A_fE_f = [VL] ⋀ D_g/W_g ≠ [H] ⋀ P_norm/A_norm = [VL]	P_f = [AL]
4. L ≠ [VL] ⋀ A_fE_f = [VL] ⋀ D_g/W_g ≠ [H] ⋀ P_norm/A_norm = [L]	P_f = [L]
5. L ≠ [VL] ⋀ A_fE_f = [VL] ⋀ D_g/W_g ≠ [H] ⋀ P_norm/A_norm = [M]	P_f = [AH]
6. L ≠ [VL] ⋀ A_fE_f = [VL] ⋀ D_g/W_g ≠ [H] ⋀ P_norm/A_norm = ([H] ν [VH])	P_f = [L]
7. L ≠ [VL] ⋀ A_fE_f = [VL] ⋀ D_g/W_g = [H]	P_f = [AH]
8. L ≠ [VL] ⋀ A_fE_f = ([L] ν [M] ν [H]) ⋀ f_c′ = ([VL] ν [L]) ⋀ f_e = [VL]	P_f = [AL]
9. L ≠ [VL] ⋀ A_fE_f = [VH] ⋀ f_c′ = ([VL] ν [L]) ⋀ f_e = [VL]	P_f = [L]
10. L ≠ [VL] ⋀ A_fE_f ≠ [VL] ⋀ f_c′ = [VL] ⋀ f_e ≠ [VL]	P_f = [AL]
11. L ≠ [VL] ⋀ A_fE_f = ([L] ν [M] ν [H]) ⋀ f_c′ = [L] ⋀ f_e ≠ [VL]	P_f = [AL]
12. L ≠ [VL] ⋀ A_fE_f = [VH] ⋀ f_c′ = [L] ⋀ f_e ≠ [VL]	P_f = [AH]
13. L = ([L] ν [M]) ⋀ A_fE_f ≠ [VL] ⋀ f_c′ = ([M] ν [H] ν [VH]) ⋀ f_e = ([VL] ν [L]) ⋀ P_norm/A_norm = [VL]	P_f = [H]
14. L = ([L] ν [M]) ⋀ A_fE_f ≠ [VL] ⋀ f_c′ = ([M] ν [H] ν [VH]) ⋀ f_e = ([M] ν [H] ν [VH]) ⋀ P_norm/A_norm = [VL]	P_f = [AL]
15. L = ([L] ν [M]) ⋀ A_fE_f ≠ [VL] ⋀ f_c′ = ([M] ν [H] ν [VH]) ⋀ P_norm/A_norm ≠ [VL]	P_f = [AL]
16. L = ([H] ν [VH]) ⋀ A_fE_f ≠ [VL] ⋀ f_c′ = [M]	P_f = [VH]
17. L = ([H] ν [VH]) ⋀ A_fE_f ≠ [VL] ⋀ f_c′ = ([H] ν [VH])	P_f = [H]

[L], [M], [H], [VL], [VH], [AL], and [AH] stand for low, medium, high, very low, very high, almost low, and almost high, respectively (see Fig. 4)

Appendix 2: Closed-form relations for the proposed Sugeno model (with three rules) for the pullout capacity of NSM FRP

$$\begin{aligned} w_{1} & = \exp \left\{ {\frac{ - 4}{{0.9935^{2} }}\left[ {\left( {\frac{L - 250}{508 - 30}} \right)^{2} + \left( {\frac{{A_{f} E_{f} - 5740.3}}{16966 - 1300}} \right)^{2} + \left( {\frac{{f_{\text{c}}^{{\prime }} - 28.5}}{64.8 - 15}} \right)^{2} } \right.} \right. \\ & \quad \left. {\left. { + \left( {\frac{{f_{\text{e}} - 35.2}}{90.7 - 6}} \right)^{2} + \left( {\frac{{\frac{{P_{\text{norm}} }}{{A_{\text{norm}} }} - 1.5557}}{5.45 - 0.9}} \right)^{2} + \left( {\frac{{\frac{{D_{\text{g}} }}{{W_{\text{g}} }} - 1}}{6.89 - 1}} \right)^{2} } \right]} \right\} \\ \end{aligned}$$

$$\begin{aligned} w_{2} & = \exp \left\{ {\frac{ - 4}{{0.9935^{2} }}} \right.\left[ {\left( {\frac{L - 200}{508 - 30}} \right)^{2} + \left( {\frac{{A_{f} E_{f} - 2114.5}}{16966 - 1300}} \right)^{2} + \left( {\frac{{f_{\text{c}}^{{\prime }} - 41.8}}{64.8 - 15}} \right)^{2} } \right. \\ & \quad \left. {\left. { + \left( {\frac{{f_{\text{e}} - 16}}{90.7 - 6}} \right)^{2} + \left( {\frac{{\frac{{P_{\text{norm}} }}{{A_{\text{norm}} }} - 5.1607}}{5.45 - 0.9}} \right)^{2} + \left( {\frac{{\frac{{D_{\text{g}} }}{{W_{\text{g}} }} - 3.7584}}{6.89 - 1}} \right)^{2} } \right]} \right\} \\ \end{aligned}$$

$$\begin{aligned} w_{3} & = \exp \left\{ {\frac{ - 4}{{0.9935^{2} }}} \right.\left[ {\left( {\frac{L - 36}{508 - 30}} \right)^{2} + \left( {\frac{{A_{f} E_{f} - 14017}}{16966 - 1300}} \right)^{2} + \left( {\frac{{f_{\text{c}}^{\prime } - 30.8}}{64.8 - 15}} \right)^{2} } \right. \\ & \quad \left. {\left. { + \left( {\frac{{f_{\text{e}} - 30}}{90.7 - 6}} \right)^{2} + \left( {\frac{{\frac{{P_{\text{norm}} }}{{A_{\text{norm}} }} - 0.9723}}{5.45 - 0.9}} \right)^{2} + \left( {\frac{{\frac{{D_{\text{g}} }}{{W_{\text{g}} }} - 1}}{6.89 - 1}} \right)^{2} } \right]} \right\} \\ \end{aligned}$$

$$\begin{aligned} P_{f1} & = - 0.0188L + 0.0030A_{f} E_{f} + 0.6019f_{\text{c}}^{'} - 0.3151f_{\text{e}} \\ & \quad - 15.9532\frac{{P_{\text{norm}} }}{{A_{\text{norm}} }} + 19.1137\frac{{D_{\text{g}} }}{{W_{\text{g}} }} + 42.5840 \\ \end{aligned}$$

$$\begin{aligned} P_{f2} & = 0.0757L + 0.0209A_{f} E_{f} + 0.3489f_{\text{c}}^{'} - 0.1097f_{\text{e}} \\ & \quad + 17.2851\frac{{P_{\text{norm}} }}{{A_{\text{norm}} }} + 0.9352\frac{{D_{\text{g}} }}{{W_{\text{g}} }} - 139.2611 \\ \end{aligned}$$

$$\begin{aligned} P_{f3} & = 0.1041L + 0.0030A_{f} E_{f} + 0.1635f_{\text{c}}^{\prime } + 0.1917f_{\text{e}} \\ & \quad - 5.6615\frac{{P_{\text{norm}} }}{{A_{\text{norm}} }} + 2.6405\frac{{D_{\text{g}} }}{{W_{\text{g}} }} - 53.1304 \\ \end{aligned}$$

$$P_{f} = \frac{{w_{1} P_{f1} + w_{2} P_{f2} + w_{3} P_{f3} }}{{w_{1} + w_{2} + w_{3} }}$$

Example

An experimental data point with L = 200 mm, A_fE_f = 2053 kN, f_c′ = 52.8 MPa, f_e = 16 MPa, P_norm/A_norm = 5.28, and D_g/W_g = 3.77 is considered. The details of calculations are as follows: P_f1 = 59.5475 kN, P_f2 = 30.2443 kN, P_f3 = − 34.3894 kN, w₁ = 0.0064, w₂ = 0.8182, and w₃ = 0.0003. Thereby, the proposed Sugeno fuzzy model yields P_f = 30.54 kN, which agrees with the experimental value of 30.45 kN (see Fig. 7).

Appendix 3: The detailed information on experimental data

This appendix includes a table listing the geometrical/mechanical properties of FRP bars/strips, groove, epoxy, and concrete as well as other testing conditions such as the experimental pullout capacity and bonded length. The table is as follows:

References	No.	L (mm)	FRP bar or strip					Groove		f_e (MPa)	f_c′ (MPa)	P_f (kN)
References	No.	L (mm)	E_f (GPa)	f_u (MPa)	D_b (mm)	t_f (mm)	w_f (mm)	D_g (mm)	W_g (mm)	f_e (MPa)	f_c′ (MPa)	P_f (kN)
[6]	N150-1	150	160	2800	–	3.6	16	20	7.1	28	24	88.26
	N200-1	200	160	2800	–	3.6	16	20	7.1	28	24	90.21
	N150-1-1S	150	160	2800	–	3.6	16	20	7.1	28	24	90.22
	N150-1-2S	150	160	2800	–	3.6	16	20	7.1	28	24	90.22
[21]	L1612AC1-1	192	170	2350	8	–	–	16	12	18.85	23.5	36.8
	L1612AC1-2	192	170	2350	8	–	–	16	12	18.85	23.5	36.65
	L1616AC1-1	192	170	2350	8	–	–	16	16	18.85	23.5	40.12
	L1616AC1-2	192	170	2350	8	–	–	16	16	18.85	23.5	39.82
	L1515AC2-1	192	134	2010	9	–	–	15	15	18.85	23.5	44.91
	L1515AC2-2	192	134	2010	9	–	–	15	15	18.85	23.5	44.65
	L1616BC1-1	192	170	2350	8	–	–	16	16	22.95	23.5	48.99
	L1616BC1-2	192	170	2350	8	–	–	16	16	22.95	23.5	47.31
	T1616BC1-1	240	170	2350	8	–	–	16	16	22.95	23.5	54.79
	T1616BC1-2	240	170	2350	8	–	–	16	16	22.95	23.5	58.09
	L1612AG1-1	192	64	1350	8	–	–	16	12	18.85	23.5	31.43
	L1612AG1-2	192	64	1350	8	–	–	16	12	18.85	23.5	35.63
	L1616AG1-1	192	64	1350	8	–	–	16	16	18.85	23.5	36.23
	L1616AG1-2	192	64	1350	8	–	–	16	16	18.85	23.5	38.92
	L1916AG1U-1	192	64	1350	8	–	–	16	16	18.85	23.5	35.8
	L1916AG1U-2	192	64	1350	8	–	–	16	16	18.85	23.5	36.33
	L1616AG1I-1	192	64	1350	8	–	–	19	16	18.85	23.5	35.28
	L1616AG1I-2	192	64	1350	8	–	–	16	16	18.85	23.5	33.33
	L1818AG2-1	192	64	1350	12	–	–	16	16	18.85	23.5	59.97
	L1818AG2-2	192	64	1350	12	–	–	18	18	18.85	23.5	57.53
	L1616BG1-1	192	64	1350	8	–	–	18	18	22.95	23.5	56.67
	L1616BG1-2	192	64	1350	8	–	–	16	16	22.95	23.5	44.56
	L1616BG1-3	192	64	1350	8	–	–	16	16	22.95	23.5	48.06
	L1616CG1-1	192	64	1350	8	–	–	16	16	22.34	23.5	56.34
	L1616CG1-2	192	64	1350	8	–	–	16	16	22.34	23.5	45.36
	L1616CG1-3	192	64	1350	8	–	–	16	16	22.34	23.5	52.34
	L1616DG1-1	192	64	1350	8	–	–	16	16	21	23.5	52.1
	L1616DG1-2	192	64	1350	8	–	–	16	16	21	23.5	57.79
[22]	SW/k1.25/104	30	174.71	2214	8	–	–	16	16	28	22	9.46
	SW/k1.50/104	30	174.71	2214	8	–	–	10	10	28	22	11.79
	SW/k2.00/104	30	174.71	2214	8	–	–	12	12	28	22	12.07
	SW/k2.50/104	30	174.71	2214	8	–	–	16	16	28	22	13.39
	SW/k1.25/112	90	174.71	2214	8	–	–	20	20	28	22	25.71
	SW/k1.50/112	90	174.71	2214	8	–	–	10	10	28	22	26.34
	SW/k2.00/112	90	174.71	2214	8	–	–	12	12	28	22	23.2
	SW/k2.50/112	90	174.71	2214	8	–	–	16	16	28	22	32.16
	SW/k1.25/124	180	174.71	2214	8	–	–	20	20	28	22	46.02
	SW/k1.50/124	180	174.71	2214	8	–	–	10	10	28	22	49.7
	SW/k2.00/124	180	174.71	2214	8	–	–	12	12	28	22	49.68
	SW/k2.50/124	180	174.71	2214	8	–	–	16	16	28	22	58.62
	CR3/k1.24/104	38	109.27	2014	11.3	–	–	20	20	28	22	12.64
	CR3/k1.59/104	38	109.27	2014	11.3	–	–	14	14	28	22	12.83
	CR3/k2.12/104	38	109.27	2014	11.3	–	–	18	18	28	22	16.63
	GR3/k1.27/104	38	37.17	873	11	–	–	24	24	28	22	11.22
	GR3/k1.64/104	38	37.17	873	11	–	–	14	14	28	22	11.41
	GR3/k2.18/104	38	37.17	873	11	–	–	18	18	28	22	13.07
[23]	G4D6a	78	41.3	799	13	–	–	24	24	13.8	27.6	24.69
	G4D12a	156	41.3	799	13	–	–	15.87	15.87	13.8	27.6	34.61
	G4D12b	156	41.3	799	13	–	–	19.05	19.05	13.8	27.6	36.97
	G4D12c	156	41.3	799	13	–	–	25.4	25.4	13.8	27.6	42.84
	G4D18a	234	41.3	799	13	–	–	15.87	15.87	13.8	27.6	42.55
	G4D24c	312	41.3	799	13	–	–	25.4	25.4	13.8	27.6	61.93
	C3D6a	57	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	15.68
	C3D12a	114	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	26.73
	C3D12b	114	164.7	1550	9.5	–	–	19.05	19.05	13.8	27.6	30.62
	C3D12c	114	164.7	1550	9.5	–	–	25.4	25.4	13.8	27.6	28.8
	C3D18a	171	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	42.06
	C3D24b	228	164.7	1550	9.5	–	–	19.05	19.05	13.8	27.6	43.97
	C3S6a	57	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	13.19
	C3S12a	114	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	17.47
	C3S12b	114	164.7	1550	9.5	–	–	19.05	19.05	13.8	27.6	15.4
	C3S12c	114	164.7	1550	9.5	–	–	25.4	25.4	13.8	27.6	17.49
	C3S18a	171	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	24.92
	C3S24a	228	164.7	1550	9.5	–	–	12.7	12.7	13.8	27.6	22.36
	C4S6	78	104.8	1875	13	–	–	15.87	15.87	13.8	27.6	22.61
	C4S12	156	104.8	1875	13	–	–	15.87	15.87	13.8	27.6	25.98
	C4S18	234	104.8	1875	13	–	–	15.87	15.87	13.8	27.6	29.52
	C4S24	312	104.8	1875	13	–	–	15.87	15.87	13.8	27.6	35.3
[24]	C-r-S-1.5-A6	250	149	1650	9.5	–	–	14.25	14.25	48	28.5	8.72
	C-r-S-2-A6	250	149	1650	9.5	–	–	19	19	48	28.5	9.44
	C-r-S-2.5-A6	250	149	1650	9.5	–	–	23.75	23.75	48	28.5	8.93
	C-r-SWSC-1.5-A6	250	130	2300	10	–	–	15	15	48	28.5	70.94
	C-r-SWSC-2-A6	250	130	2300	10	–	–	20	20	48	28.5	66.19
	C-r-SWSC-2.5-A6	250	130	2300	10	–	–	25	25	48	28.5	71.64
	C-r-SC-1.5-A6	250	130	2300	7.5	–	–	11.25	11.25	48	28.5	48.26
	C-r-SC-2-A6	250	130	2300	7.5	–	–	15	15	48	28.5	54.47
	C-r-SC-2.5-A6	250	130	2300	7.5	–	–	18.75	18.75	48	28.5	56.19
	C-r-Ri-1.5-A6	250	143	2328	9	–	–	13.5	13.5	48	28.5	57.53
	C-r-Ri-2-A6	250	143	2328	9	–	–	18	18	48	28.5	62.2
	C-r-Ri-2.5-A6	250	143	2328	9	–	–	22.5	22.5	48	28.5	72.95
	C-r-Ro-1.5-A6	250	117	1617	9	–	–	13.5	13.5	48	28.5	59.63
	C-r-Ro-2-A6	250	117	1617	9	–	–	18	18	48	28.5	52.28
	C-r-Ro-2.5-A6	250	117	1617	9	–	–	22.5	22.5	48	28.5	59.51
	C-st-Ro-1.5-A6	250	125	1676	–	4.5	16	24	13.5	48	28.5	72.06
	C-st-Ro-2-A6	250	125	1676	–	4.5	16	32	15.75	48	28.5	74.11
	C-st-Ro-2.5-A6	250	125	1676	–	4.5	16	40	18	48	28.5	73.54
	C-sq-Ro-1.5-A6	250	150	1506	–	10	10	15	15	48	28.5	71.19
	C-sq-Ro-2-A6	250	150	1506	–	10	10	20	20	48	28.5	75.02
	C-sq-Ro-2.5-A6	250	150	1506	–	10	10	25	25	48	28.5	71.91
	G-r-SWSCI-1.5-A6	250	41	760	10	–	–	15	15	48	28.5	70.74
	G-r-SWSCI-2-A6	250	41	760	10	–	–	20	20	48	28.5	74.58
	G-r-SWSCI-2.5-A6	250	41	760	10	–	–	25	25	48	28.5	71.46
	G-r-Gr-1.5-A6	250	55	1150	10	–	–	15	15	48	28.5	80.51
	G-r-Gr-2-A6	250	55	1150	10	–	–	20	20	48	28.5	85.26
	G-r-Gr-2.5-A6	250	55	1150	10	–	–	25	25	48	28.5	92.69
	G-r-Ri-1.5-A6	250	47	1080	9	–	–	13.5	13.5	48	28.5	49.88
	G-r-Ri-2-A6	250	47	1080	9	–	–	18	18	48	28.5	54.95
	G-r-Ri-2.5-A6	250	47	1080	9	–	–	22.5	22.5	48	28.5	63.32
	C-r-Ro-1.5-A6	250	117	1617	9	–	–	13.5	13.5	48	28.5	60.08
	C-r-Ro-1.5-A7	250	117	1617	9	–	–	13.5	13.5	61.4	28.5	47.38
[25]	B-8-SC-2	300	46	1272	8	–	–	14	14	28	19	33.1
	B-8-SC-3	300	46	1272	8	–	–	14	14	28	19	30.2
	B-6-SC-1	300	46	1282	6	–	–	10.02	10.02	28	19	33.9
	B-6-SC-2	300	46	1282	6	–	–	10.02	10.02	28	19	28.8
	C-8-S-1	300	155	2495	8	–	–	14	14	28	19	48.5
	C-8-S-2	300	155	2495	8	–	–	14	14	28	19	55.3
	C-8-S-3	300	155	2495	8	–	–	14	14	28	19	45.2
	G-8-RB-2	300	59	1333	8	–	–	14	14	28	19	45.3
	G-8-RB-3	300	59	1333	8	–	–	14	14	28	19	50.9
	C-2.5*15-S-1	300	182	2863	–	2.5	15	25.02	8	28	19	53
	C-2.5*15-S-2	300	182	2863	–	2.5	15	25.02	8	28	19	56
	C-2.5*15-S-3	300	182	2863	–	2.5	15	25.02	8	28	19	46.3
[3]	C12/60/S/1.6P	60.39	141	2300	12	–	–	16	16	90	60	27.7
	C12/60/S/3.2P	120.58	141	2300	12	–	–	16	16	90	60	39.7
	C12/60/S/6.4P	241.15	141	2300	12	–	–	16	16	90	60	51.5
	C12/60/S/12.7P	478.54	141	2300	12	–	–	16	16	90	60	73.1
	A9/60/L/1.6P	45.22	120	2070	9	–	–	18	18	90	60	19.1
	A9/60/L/3.2P	90.34	120	2070	9	–	–	18	18	90	60	34.9
	A9/60/L/6.4P	180.86	120	2070	9	–	–	18	18	90	60	58.2
	A9/60/L/12.7P	358.9	120	2070	9	–	–	18	18	90	60	79
	A12/60/S/1.6P	60.39	127	2070	12	–	–	16	16	90	60	26.1
	A12/60/S/3.2P	120.58	127	2070	12	–	–	16	16	90	60	46.9
	A12/60/S/6.4P	241.15	127	2070	12	–	–	16	16	90	60	70.5
	A12/60/S/12.7P	478.54	127	2070	12	–	–	16	16	90	60	76
	A9/60/S/1.6P	45.22	120	2070	9	–	–	13	13	90	60	21.6
	A9/60/S/3.2P	90.43	120	2070	9	–	–	13	13	90	60	33.1
	A9/60/S/6.4P	180.86	120	2070	9	–	–	13	13	90	60	52.9
	A9/60/S/12.7P	358.9	120	2070	9	–	–	13	13	90	60	68.4
	C12/30/S/1.6P	60.39	141	2300	12	–	–	16	16	90	30	28.6
	C12/30/S/3.2P	120.58	141	2300	12	–	–	16	16	90	30	37.3
	C12/30/S/6.4P	241.15	141	2300	12	–	–	16	16	90	30	66.2
	C12/30/S/12.7P	478.54	141	2300	12	–	–	16	16	90	30	69
	A9/30/S/1.6P	45.22	120	2070	9	–	–	13	13	90	30	20.1
	A9/30/S/3.2P	90.43	120	2070	9	–	–	13	13	90	30	27.6
	A9/30/S/6.4P	180.86	120	2070	9	–	–	13	13	90	30	44.8
	A9/30/S/12.7P	358.9	120	2070	9	–	–	13	13	90	30	50.7
	R/60/S/1.6P	57.6	123	2040	–	2	16	20	6	90	60	28.1
	R/60/S/3.2P	115.2	123	2040	–	2	16	20	6	90	60	34.3
	R/60/S/6.4P	230.4	123	2040	–	2	16	20	6	90	60	50.8
	R/60/S/12.7P	457.2	123	2040	–	2	16	20	6	90	60	57.1
	R/60/L/1.6P	57.6	123	2040	–	2	16	24	10	90	60	26.2
	R/60/L/3.2P	115.2	123	2040	–	2	16	24	10	90	60	43.4
	R/60/L/6.4P	230.4	123	2040	–	2	16	24	10	90	60	61.6
	S/60/S/Sika/1.6P	64	137	2720	–	10	10	14	14	90	60	31.8
	S/60/S/Sika/3.2P	128	137	2720	–	10	10	14	14	90	60	50.1
	S/60/S/Sika/6.4P	256	137	2720	–	10	10	14	14	90	60	73.4
	S/60/S/Sika/12.7P	508	137	2720	–	10	10	14	14	90	60	94.2
	S/60/L/Sika/1.6P	64	137	2720	–	10	10	18	18	90	60	33.7
	S/60/L/Sika/3.2P	128	137	2720	–	10	10	18	18	90	60	56.2
	S/60/L/Sika/6.4P	256	137	2720	–	10	10	18	18	90	60	40.7
	S/60/L/Sto/1.6P	64	137	2720	–	10	10	18	18	90.7	60	28.8
	S/60/L/Sto/3.2P	128	137	2720	–	10	10	18	18	90.7	60	50.5
	S/60/L/Sto/6.4P	256	137	2720	–	10	10	18	18	90.7	60	87.1
	S/60/L/Sto/12.7P	508	137	2720	–	10	10	18	18	90.7	60	77.4
	S/60L/Sto/12.7P-re	508	137	2720	–	10	10	18	18	90.7	60	64.4
[5]	B-6-SC-1	300	46	1282	6	–	–	10	10	27.5	19	33.87
	B-6-SC-2	300	46	1282	6	–	–	10	10	27.5	19	28.84
	B-6-SC-3	300	46	1282	6	–	–	10	10	27.5	19	36.32
	B-8-SC-1	300	46	1272	8	–	–	14	14	27.5	19	31.57
	B-8-SC-2	300	46	1272	8	–	–	14	14	27.5	19	33.1
	B-8-SC-3	300	46	1272	8	–	–	14	14	27.5	19	30.24
	G-8-SW-1	300	51	1250	8	–	–	14	14	27.5	19	17.72
	G-8-SW-2	300	51	1250	8	–	–	14	14	27.5	19	40.8
	G-8-SW-3	300	51	1250	8	–	–	14	14	27.5	19	38.04
	G-8-RB-1	300	59	1333	8	–	–	14	14	27.5	19	46.71
	G-8-RB-2	300	59	1333	8	–	–	14	14	27.5	19	45.25
	G-8-RB-3	300	59	1333	8	–	–	14	14	27.5	19	50.86
	C-8-S-1	300	155	2495	8	–	–	14	14	27.5	19	48.52
	C-8-S-2	300	155	2495	8	–	–	14	14	27.5	19	55.3
	C-8-S-3	300	155	2495	8	–	–	14	14	27.5	19	45.23
	C-10X10-S-1	300	159	1397	–	10	10	15	15	27.5	19	51.72
	C-10X10-S-2	300	159	1397	–	10	10	15	15	27.5	19	47.89
	C-10X10-S-3	300	159	1397	–	10	10	15	15	27.5	19	51.56
	C-1.4X10-S-1	300	177	2221	–	1.4	10	15	5	27.5	19	31.16
	C-1.4X10-S-2	300	177	2221	–	1.4	10	15	5	27.5	19	32.93
	C-1.4X10-S-3	300	177	2221	–	1.4	10	15	5	27.5	19	34.73
	C-2.5X15-S-1	300	182	2863	–	2.5	15	25	8	27.5	19	52.97
	C-2.5X15-S-1	300	182	2863	–	2.5	15	25	8	27.5	19	56.03
	C-2.5X15-S-1	300	182	2863	–	2.5	15	25	8	27.5	19	46.26
[26]	C-8-SW-14X14-1	300	100	1040	8	–	–	14	14	27.5	19	47.48
	C-8-SW-14X14-2	300	100	1040	8	–	–	14	14	27.5	19	48.22
	C-8-SW-14X14-3	300	100	1040	8	–	–	14	14	27.5	19	46.02
	B-8-SC-20X20-1	300	46	1272	8	–	–	20	20	27.5	19	44.84
	B-8-SC-20X20-2	300	46	1272	8	–	–	20	20	27.5	19	39.02
	B-8-SC-20X20-3	300	46	1272	8	–	–	20	20	27.5	19	42.8
	B-10-SC-15X15-1	300	42	1204	10	–	–	15	15	27.5	19	38.02
	B-10-SC-15X15-2	300	42	1204	10	–	–	15	15	27.5	19	40
	B-10-SC-15X15-3	300	42	1204	10	–	–	15	15	27.5	19	39
	B-10-SC-20X20-1	300	42	1204	10	–	–	20	20	27.5	19	43.46
	B-10-SC-20X20-2	300	42	1204	10	–	–	20	20	27.5	19	41.12
	B-10-SC-20X20-3	300	42	1204	10	–	–	20	20	27.5	19	38.96
[36]	Gent-C-SC-6	300	124	2068	6	–	–	12	12	50	30	33
	Gent-B-SC-6	300	52.5	1470	6	–	–	12	12	30	30	38.4
	Gent-B-SC-8	300	51	1324	8	–	–	14	14	30	30	39.8
	Gent-C-S-1.4X10	300	165	1850	–	1.4	10	15	5	50	30	24.6
	Gent-G-RB-8	300	60	1500	8	–	–	14	14	30	30	51.7
	Gent-C-STR-2X16	300	165	3100	–	2	16	25	8	50	30	59.9
	Gent-C-SM-8	300	155	2800	8	–	–	14	14	50	30	56.9
	Gent-C-STR-10X10	300	155	2000	–	10	10	15	15	50	30	61
	Gent-G-SpW-8	300	55	1290	8	–	–	14	14	30	30	43.7
	Minho-C-SC-6	300	124	2068	6	–	–	12	12	50	32	36.7
	Minho-B-SC-6	300	52.5	1470	6	–	–	12	12	30	32	26.5
	Minho-B-SC-8	300	51	1324	8	–	–	14	14	30	32	33.5
	Minho-C-S-1.4X10	300	165	1850	–	1.4	10	15	5	50	32	39.1
	Minho-G-RB-8	300	60	1500	8	–	–	14	14	30	32	40.3
	Minho-C-STR-2X16	300	165	3100	–	2	16	25	8	50	32	48
	Minho-C-SM-8	300	155	2800	8	–	–	14	14	50	32	47.4
	Minho-C-STR-10X10	300	155	2000	–	10	10	15	15	50	32	58.9
	Naples-B-SC-6	300	52.5	1470	6	–	–	12	12	30	23	33
	Naples-B-SC-8	300	51	1324	8	–	–	12	12	30	23	31.6
	Naples-G-RB-8	300	60	1500	8	–	–	14	14	30	23	47.6
	Naples-C-STR-2X16	300	165	3100	–	2	16	25	8	50	23	51.7
	Naples-C-SM-8	300	155	2800	8	–	–	14	14	50	23	49.6
	Naples-C-STR-10X10	300	155	2000	–	10	10	15	15	50	23	50.3
	Naples-G-RB-8′	300	55	1290	8	–	–	14	14	30	23	32.2
	Buda-C-SC-6	300	124	2068	6	–	–	12	12	50	42	33.9
	Buda-B-SC-6	300	52.5	1470	6	–	–	12	12	30	42	30.6
	Buda-C-S-1.4X10	300	165	1850	–	1.4	10	15	5	50	42	25.1
	Buda-G-RB-8	300	60	1500	8	–	–	14	14	30	42	44.7
	Buda-C-STR-2X16-1	300	165	3100	–	2	16	25	8	50	42	39.7
	Buda-C-STR-2X16-2	300	165	3100	–	2	16	25	8	50	42	40
	Buda-C-STR-2X16-3	300	165	3100	–	2	16	25	8	50	42	40.6
	Buda-C-SM-8-1	300	155	2800	8	–	–	14	14	50	42	41.1
	Buda-C-SM-8-2	300	155	2800	8	–	–	14	14	50	42	42.7
	Buda-C-STR-10X10	300	155	2000	–	10	10	15	15	50	42	58.3
[27]	30MPa-100-10	100	161.8	2643	–	1.2	10	12	3.2	16	30	13
	30MPa-100-10	100	161.8	2643	–	1.2	10	12	3.2	16	30	22.6
	30MPa-100-10	100	161.8	2643	–	1.22	10.02	12.02	3.22	16	30	20.4
	30MPa-150-10	150	161.8	2643	–	1.23	10.33	12.33	3.23	16	30	23.2
	30MPa-200-10	200	161.8	2643	–	1.22	10.48	12.48	3.22	16	30	27.9
	30MPa-250-10	250	161.8	2643	–	1.22	10.29	12.29	3.22	16	30	26.6
	30MPa-300-10	300	161.8	2643	–	1.22	10.38	12.38	3.22	16	30	26
	30MPa-350-10	350	161.8	2643	–	1.22	10.35	12.35	3.22	16	30	23
	42MPa-200-10	200	161.8	2643	–	1.27	10.29	12.29	3.27	16	41.8	30.6
	48MPa-200-10	200	161.8	2643	–	1.28	10.1	12.1	3.28	16	48.2	33.7
	49MPa-200-10	200	161.8	2643	–	1.26	10.56	12.56	3.26	16	49.2	33.3
	49MPa-200-20	200	162.3	2796	–	1.28	20.43	22.43	3.28	16	49.2	68.6
	49MPa-100-20	100	162.3	2796	–	1.27	20.37	22.37	3.27	16	49.2	64.1
	49MPa-200-20	200	162.3	2796	–	1.28	20.22	22.22	3.28	16	49.2	75
	49MPa-300-20	300	162.3	2796	–	1.24	19.79	21.79	3.24	16	49.2	68.1
	30MPa-100-20	100	162.3	2796	–	1.2	20	22	3.2	16	30	51.4
	30MPa-200-20	200	162.3	2796	–	1.2	20	22	3.2	16	30	57.8
	30MPa-300-20	300	162.3	2796	–	1.2	20	22	3.2	16	30	66.7
	65MPa-200-10	200	144.6	2634	–	2.88	10.08	12.08	4.88	16	64.8	45
	53MPa-200-10	200	161.8	2643	–	1.24	10.23	12.23	3.24	16	52.8	31.9
	53MPa-200-20	200	162.3	2796	–	1.26	20.47	22.47	3.26	16	52.8	77.9
	53MPa-200-10	200	161.8	2643	–	1.3	10.43	12.43	3.3	16	53	34
	53MPa-200-20	200	162.3	2796	–	1.27	20.1	22.1	3.27	16	53	72.5
	53MPa-100-10	100	161.8	2643	–	1.26	10.37	12.37	3.26	16	53	29.5
	53MPa-300-10	300	161.8	2643	–	1.27	10.3	12.3	3.27	16	53	37.9
	53MPa-100-20	100	162.3	2796	–	1.25	20.23	22.23	3.25	16	53	63.8
	53MPa-300-20	300	162.3	2796	–	1.25	20.15	22.15	3.25	16	53	66.3
	33MPa-100-15	100	161.8	2643	–	1.26	14.93	16.93	3.26	16	33.4	31.9
	33MPa-200-15	200	161.8	2643	–	1.26	15.65	17.65	3.26	16	33.4	47.5
	33MPa-300-15	300	161.8	2643	–	1.26	15.31	17.31	3.26	16	33.4	51.6
	65MPa-200-10	200	161.8	2643	–	2.9	9.95	11.95	4.9	16	64.8	45.1
	33MPa-300-20	300	162.3	2796	–	1.24	19.85	21.85	3.24	16	33.4	67.8
	33MPa-200-20	200	162.3	2796	–	1.2	20	22	3.2	16	33.4	60.7
[30]	N/C-10-E-1.5-6	57	128	1546	9.5	–	–	14.25	14.25	43.5	41	28.68
	N/C-10-E-1.5-12	114	128	1546	9.5	–	–	14.25	14.25	43.5	41	52.45
	N/C-10-E-1.5-18	171	128	1546	9.5	–	–	14.25	14.25	43.5	41	74.85
	N/C-10-E-1.5-24	228	128	1546	9.5	–	–	14.25	14.25	43.5	41	84.77
	N/C-10-E-2.0-6	57	128	1546	9.5	–	–	19	19	43.5	41	35.56
	N/C-10-E-2.0-12	114	128	1546	9.5	–	–	19	19	43.5	41	59.35
	N/C-10-E-2.0-18	171	128	1546	9.5	–	–	19	19	43.5	41	64.57
	N/C-10-E-2.0-24	228	128	1546	9.5	–	–	19	19	43.5	41	75.62
	N/C-10-E-2.0-36	324	128	1546	9.5	–	–	19	19	43.5	41	96.29
	N/C-10-E-2.0-48	456	128	1546	9.5	–	–	19	19	43.5	41	96.23
	N/C-13-E-1.5-18	228.6	134	1250	12.7	–	–	19.05	19.05	43.5	41	48.83
	N/C-13-E-2.0-18	228.6	134	1250	12.7	–	–	25.4	25.4	43.5	41	49.05
	N/G-13-E-2.0-12	152.4	42	749	12.7	–	–	25.4	25.4	43.5	41	52.19
	N/G-13-E-2.0-18	228.6	42	749	12.7	–	–	25.4	25.4	43.5	41	66.93
	N/G-13-E-2.0-24	304.8	42	749	12.7	–	–	25.4	25.4	43.5	41	77.74
	N/G-13-E-2.0-36	457.2	42	749	12.7	–	–	25.4	25.4	43.5	41	79.8
[31]	7-2/2-3D-CF	36	124	2068	12	–	–	20	20	30	30.8	10.3
	7-2/2-5D-CF	60	124	2068	12	–	–	20	20	30	30.8	17.3
	7-2/2-10D-CF	120	124	2068	12	–	–	20	20	30	30.8	32.5
	8-2/4-3D-CF	36	124	2068	12	–	–	40	20	30	30.8	15.3
	8-2/4-5D-CF	60	124	2068	12	–	–	40	20	30	30.8	20.2
	8-2/4-10D-CF	120	124	2068	12	–	–	40	20	30	30.8	38.5
[32]	Anchorfix-3-t1	152	130	2100	–	2	16	19	6.4	32.4	60.1	29.8
	Anchorfix-3-t2	152	130	2100	–	2	16	19	6.4	32.4	60.1	34.2
	Anchorfix-3-t3	152	130	2100	–	2	16	19	6.4	32.4	60.1	30.2
	Anchorfix-3-t4	152	130	2100	–	2	16	19	6.4	32.4	60.1	26.7
	Anchorfix-3-t5	152	130	2100	–	2	16	19	6.4	32.4	60.1	29.4
	Anchorfix-3-t6	152	130	2100	–	2	16	19	6.4	32.4	60.1	30.2
	Concresive1420-t1	152	130	2100	–	2	16	19	6.4	27.6	60.1	42.3
	Concresive1420-t2	152	130	2100	–	2	16	19	6.4	27.6	60.1	37.8
	Concresive1420-t3	152	130	2100	–	2	16	19	6.4	27.6	60.1	50.3
	Concresive1420-t4	152	130	2100	–	2	16	19	6.4	27.6	60.1	42.7
	Concresive1420-t5	152	130	2100	–	2	16	19	6.4	27.6	60.1	34.2
	Concresive1420-t6	152	130	2100	–	2	16	19	6.4	27.6	60.1	37.8
	Epofil-t1	152	130	2100	–	2	16	19	6.4	50.3	60.1	58.7
	Epofil-t3	152	130	2100	–	2	16	19	6.4	50.3	60.1	52.9
	Epofil-t4	152	130	2100	–	2	16	19	6.4	50.3	60.1	53.8
	Epofil-t5	152	130	2100	–	2	16	19	6.4	50.3	60.1	59.2
	Epofil-t6	152	130	2100	–	2	16	19	6.4	50.3	60.1	59.2
	Sikadure35-t3	152	130	2100	–	2	16	19	6.4	61.4	60.1	52.5
	Sikadure35-t4	152	130	2100	–	2	16	19	6.4	61.4	60.1	53.8
	Sikadure35-t5	152	130	2100	–	2	16	19	6.4	61.4	60.1	49.8
	Sikadure35-t6	152	130	2100	–	2	16	19	6.4	61.4	60.1	53.4
	Sikadure32-t1	152	130	2100	–	2	16	19	6.4	35.2	60.1	53.4
	Sikadure32-t2	152	130	2100	–	2	16	19	6.4	35.2	60.1	53.4
	Sikadure32-t3	152	130	2100	–	2	16	19	6.4	35.2	60.1	55.2
	Sikadure32-t5	152	130	2100	–	2	16	19	6.4	35.2	60.1	60.5
	Sikadure32-t6	152	130	2100	–	2	16	19	6.4	35.2	60.1	56.5
	DP460NS-t1	152	130	2100	–	2	16	19	6.4	35.2	60.1	76.1
	DP460NS-t2	152	130	2100	–	2	16	19	6.4	35.2	60.1	62.7
	DP460NS-t3	152	130	2100	–	2	16	19	6.4	35.2	60.1	81.4
	DP460NS-t4	152	130	2100	–	2	16	19	6.4	35.2	60.1	76.1
	DP460NS-t5	152	130	2100	–	2	16	19	6.4	35.2	60.1	79.6
	DP460NS-t6	152	130	2100	–	2	16	19	6.4	35.2	60.1	65.4
[33]	C-r-Ro-1.5-A6	250	124	2068	9	–	–	13.5	13.5	35.2	28.5	60.08
	C-r-Ro-1.5-A7	250	124	2068	9	–	–	13.5	13.5	61.4	28.5	47.38
	C-r-SC-2.0-A6	250	130	2300	7.5	–	–	15	15	35.2	28.5	56.19
	C-r-Ri-2.0-A6	250	150	2185	9	–	–	18	18	35.2	28.5	62.2
	C-r-Ro-2.0-A6	250	124	2068	9	–	–	18	18	35.2	28.5	52.28
[34]	C-SC-9	300	124	1896	9.5	–	–	15	15	50	37.4	57.8
	B-SC-6	300	55	1413	6	–	–	12	12	30	37.4	28.4
	B-SC-8	300	50	1285	8	–	–	15	15	30	36.2	39.8
	G-RB-10	300	40.8	760	10	–	–	15	15	30	36.2	50.6
	C-STR-2x16	300	124	2068	–	2	16	25	8	50	35	46.5
	C-SM-8	300	155	2800	8	–	–	15	15	50	35	56.9
[35]	A-5G25	60	124	2108	12	–	–	25	25	30	30	15.2
	B-5G25-J	60	124	2108	12	–	–	25	25	30	30	16.92
	C-5G20	60	124	2108	12	–	–	20	20	30	30	12.05
	D-3G25	36	124	2108	12	–	–	25	25	30	30	7.96
	E-3G20	36	124	2108	12	–	–	20	20	30	30	7.17
	F-7.5G25	90	124	2108	12	–	–	25	25	30	30	18.2
	G-10G25	120	124	2108	12	–	–	25	25	30	30	21.6
	H-10G20	120	124	2108	12	–	–	20	20	30	30	19.4
[37]	CR3/k1.33/104-e	38	109.27	2014	9.5	–	–	15	15	28	22	13.12
	CR3/k1.59/104-e	38	109.27	2014	9.5	–	–	18	18	28	22	17.91
	CR3/k2.12/104-e	38	109.27	2014	9.5	–	–	24	24	28	22	19.33
	CR3/k1.24/124-e	228	109.27	2014	9.5	–	–	14	14	28	22	52.16
	CR3/k1.59/124-e	228	109.27	2014	9.5	–	–	18	18	28	22	50.8
	CR3/k2.12/124-e	228	109.27	2014	9.5	–	–	24	24	28	22	66.47
	GR3/k1.36/104-e	38	37.17	873	9.5	–	–	15	15	28	22	10.67
	GR3/k1.64/104-e	38	37.17	873	9.5	–	–	18	18	28	22	14.68
	GR3/k2.18/104-e	38	37.17	873	9.5	–	–	24	24	28	22	14.57
	GR3/k1.27/124-e	228	37.17	873	9.5	–	–	14	14	28	22	26.45
	GR3/k1.64/124-e	228	37.17	873	9.5	–	–	18	18	28	22	39.55
	GR3/k2.18/124-e	228	37.17	873	9.5	–	–	24	24	28	22	32.04
	SW/k1.50/104-e	30	174.71	2214	7.5	–	–	12	12	28	22	12.75
	SW/k2.00/104-e	30	174.71	2214	7.5	–	–	16	16	28	22	14.67
	SW/k2.50/104-e	30	174.71	2214	7.5	–	–	20	20	28	22	15.5
	SW/k1.50/112-e	90	174.71	2214	7.5	–	–	12	12	28	22	28.86
	SW/k2.00/112-e	90	174.71	2214	7.5	–	–	16	16	28	22	25.62
	SW/k2.50/112-e	90	174.71	2214	7.5	–	–	20	20	28	22	37.27
	SW/k1.50/124-e	180	174.71	2214	7.5	–	–	12	12	28	22	41.32
	SW/k2.00/124-e	180	174.71	2214	7.5	–	–	16	16	28	22	60
	SW/k2.50/124-e	180	174.71	2214	7.5	–	–	20	20	28	22	67.43
[38]	SD30-1.5D	304.8	60.4	1478	12.7	–	–	19.05	19.05	14	37.2	64.9
	SD30-2.0D	304.8	60.4	1478	12.7	–	–	25.4	25.4	14	37.2	77
	SD42-1.5D	304.8	60.4	1478	12.7	–	–	19.05	19.05	6	37.2	60.8
	SD42-2.0D	304.8	60.4	1478	12.7	–	–	25.4	25.4	6	37.2	86.2
	SD-42.16D	203.2	60.4	1478	12.7	–	–	25.4	25.4	6	64.8	85.7
	SD-31.16D	203.2	60.4	1478	12.7	–	–	25.4	25.4	14	64.8	85
[39]	T2.0-C15	250	131	2068	–	2	16	30	10	31.9	15	59
	T2.0-C40	250	131	2068	–	2	16	30	10	31.9	40	63
	T2.0-C60	250	131	2068	–	2	16	30	10	31.9	60	56
	T4.5-C15	250	131	2068	–	4.5	16	30	10	31.9	15	68
	T4.5-C40	250	131	2068	–	4.5	16	30	10	31.9	40	74
	T4.5-C60	250	131	2068	–	4.5	16	30	10	31.9	60	88
	T2.0-BL80	80	131	2068	–	2	16	30	10	31.9	40	31
	T2.0-BL120	120	131	2068	–	2	16	30	10	31.9	40	41
	T2.0-BL160	160	131	2068	–	2	16	30	10	31.9	40	57
	T2.0-BL200	200	131	2068	–	2	16	30	10	31.9	40	55
	T2.0-BL250	250	131	2068	–	2	16	30	10	31.9	40	63
	T2.0-BL320	320	131	2068	–	2	16	30	10	31.9	40	63
	T2.0-BL400	400	131	2068	–	2	16	30	10	31.9	40	56
	T4.5-BL80	80	131	2068	–	4.5	16	30	10	31.9	40	37
	T4.5-BL80	120	131	2068	–	4.5	16	30	10	31.9	40	54
	T4.5-BL80	160	131	2068	–	4.5	16	30	10	31.9	40	60
	T4.5-BL80	200	131	2068	–	4.5	16	30	10	31.9	40	59
	T4.5-BL80	240	131	2068	–	4.5	16	30	10	31.9	40	84
	T4.5-BL80	250	131	2068	–	4.5	16	30	10	31.9	40	76
	T4.5-BL80	320	131	2068	–	4.5	16	30	10	31.9	40	100
	T2.0-GE60	250	131	2068	–	2	16	30	10	31.9	40	62
	T4.5-GE60	250	131	2068	–	4.5	16	30	10	31.9	40	73

D_b is the diameter of FRP bars, whereas t_f and w_f are the dimensions of FRP strips

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Nasrollahzadeh, K., Afzali, S. Fuzzy logic model for pullout capacity of near-surface-mounted FRP reinforcement bonded to concrete. Neural Comput & Applic 31, 7837–7865 (2019). https://doi.org/10.1007/s00521-018-3590-2

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Received: 07 August 2017
Accepted: 23 June 2018
Published: 09 July 2018
Issue Date: November 2019
DOI: https://doi.org/10.1007/s00521-018-3590-2

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Fuzzy logic model for pullout capacity of near-surface-mounted FRP reinforcement bonded to concrete

Abstract

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Development of Efficient Prediction Model of FRP-to-Concrete Bond Strength Using Curve Fitting and ANFIS Methods

Fuzzy inference system to formulate compressive strength and ultimate strain of square concrete columns wrapped with fiber-reinforced polymer

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

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Appendices

Appendix 1: List of fuzzy rules in the proposed Mamdani model for the pullout capacity of NSM FRP

Appendix 2: Closed-form relations for the proposed Sugeno model (with three rules) for the pullout capacity of NSM FRP

Example

Appendix 3: The detailed information on experimental data

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Fuzzy logic model for pullout capacity of near-surface-mounted FRP reinforcement bonded to concrete

Abstract

Access this article

Similar content being viewed by others

Development of Efficient Prediction Model of FRP-to-Concrete Bond Strength Using Curve Fitting and ANFIS Methods

Fuzzy inference system to formulate compressive strength and ultimate strain of square concrete columns wrapped with fiber-reinforced polymer

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

References

Funding

Author information

Authors and Affiliations

Corresponding author

Ethics declarations

Conflict of interest

Appendices

Appendix 1: List of fuzzy rules in the proposed Mamdani model for the pullout capacity of NSM FRP

Appendix 2: Closed-form relations for the proposed Sugeno model (with three rules) for the pullout capacity of NSM FRP

Example

Appendix 3: The detailed information on experimental data

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