Modelagem preditiva de propriedades mecânicas em concretos reforçados com fibra de aço utilizando redes neurais artificiais

Leonária Araújo Silva Departamento de Engenharia Estrutural e Construção Civil | Universidade Federal do Ceará | Campus do Pici, s/n, Bloco 733 | Fortaleza - CE - Brasil | CEP 60440-900 | Tel.: (88) 99675-7558 | E-mail: leonaria@alu.ufc.br

Lucas Benício Rodrigues Araújo Departamento de Engenharia Estrutural e Construção Civil | Universidade Federal do Ceará | Tel.: (88) 99667-4831 | E-mail: lucasbenicio@alu.ufc.br

Ana Karoliny Lemos Bezerra Departamento de Engenharia de Transportes | Universidade Federal do Ceará | Tel.: (88) 99603-8362 | E-mail: anakarolinylemos@alu.ufc.br

Arthur Hermont Fonseca Murta Departamento de Estatística e Matemática Aplicada | Universidade Federal do Ceará | Campus do Pici, s/n, Bloco 910 | Fortaleza - CE - Brasil | CEP 60440-900 | Tel.: (85) 99955-9052 | E-mail: art_murta@hotmail.com

Lucas Feitosa de Albuquerque Lima Babadopulos Departamento de Engenharia Estrutural e Construção Civil | Universidade Federal do Ceará | Tel.: (85) 3366-9607 | E-mail: babadopulos@ufc.br

Marcelo Silva Medeiros Júnior Departamento de Engenharia Estrutural e Construção Civil | Universidade Federal do Ceará | Tel.: (85) 3366-9607 | E-mail: marcelomedeiros@ufc.br

RC	RT	RF	Ref.		RC	RT	RF	Ref.
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7	6	4	Moscatelli (2011)MOSCATELLI, I. Fibras de aço em concreto de cimento Portland aplicados a pavimento. Campinas, 2011. Dissertação (Mestrado em Engenharia Civil) - Escola de Engenharia, Universidade Estadual de Campinas, Campinas, 2011.		4	-	-	*Pal et al.* (2020)**PAL, S. et al. Strength characteristics and microstructure of hooked-end steel fiber reinforced concrete containing fly ash, bottom ash and their combination. Construction and Building Materials, v. 247, n. 41, 2020.
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38	-	-	Marara, Erenbeyitmena (2011)MARARA, K.; ERENB, Ö.; YITMENA, İ. Compression specific toughness of normal strength steel fiber reinforced concrete (NSSFRC) and high strength steel fiber reinforced concrete (HSSFRC). Materials Research, v. 14, n. 2, p. 239-247, 2011.		4	4	-	*Ba et al.* (2016)**BA, H. et al. Experimental study on the M20 grade cement concrete containing crimped steel fibres. International Journal of Science Technology & Engineering, v. 3, Set. 2016.
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1	-	1	Periquito e Magalhães (2017)PERIQUITO, M. S.; MAGALHÃES, M. S. Mechanical behaviour of steel fiber reinforced concrete with stone powder. Revista Matéria, v. 22, n. 2, fev. 2017.		10	10	10	*Han et al.* (2019)**HAN, J. et al. Effects of steel fiber length and coarse aggregate maximum size on mechanical properties of steel fiber reinforced concrete. Construction and Building Materials , v. 209, p. 577-591, 2019.
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3	-	3	Babaie, Abolfazli e Fahimifar (2019)BABAIE, R.; ABOLFAZLI, M.; FAHIMIFAR, A. Mechanical properties of steel and polymer fiber reinforced concrete. Journal of the Mechanical Behavior of Materials, v. 28, p. 119-134, 2019.		4	4	4	Rao e Rao (2009)RAO, G.; RAO, A. S. Toughness indices of steel fiber reinforced concrete under mode II loading. Materials and Structures, v. 42, n. 9, p. 1173-1184, 2009.
10	-	10	Kumutha e Vijai (2009)KUMUTHA, R.; VIJAI, K. Effect of steel fibers on the properties of concrete. Journal of Reinforced Plastics and Composites, v. 29, n. 4, p. 531-538, 2009.		5	5	5	John e Brindha (2019)JOHN, V. J.; BRINDHA, D. Effect of steel macro fibers on engineering properties of copperslag-concrete. Strucutural Concrete, v. 21, n. 2, p. 689-702, 2019.
14	-	-	Nataraja, Dangh e Gupta (1999)NATARAJA, M. C.; DHANG, N.; GUPTA, A. P. Stress-strain curves for steel-fiber reinforced concrete under compression. Cement & Concrete Composites, v. 21, p. 383-390, 1999.		8	-	-	*Li et al.* (2018b)**LI, F. et al. Experimental study of the basic mechanical properties of directionally distributed steel fibre-reinforced concrete. Advances in Materials Science and Engineering, v. 2018, jun. 2018b.
3	-	-	Monte, Toaldo e Fiqueiredo (2014)MONTE, R.; TOALDO, G. S.; FIGUEIREDO, A. D. Avaliação da tenacidade de concretos reforçados com fibras através de ensaios com sistema aberto. Revista Matéria, v. 19, n. 2, p. 132-149, 2014.
	Total		RC	521		Total		RC	53
	de		RT	252		de		RT	27
	Dados		RF	278		Autores		RF	38

Variável	RC		RT		RF
Variável	Min.	Máx.	Min.	Máx.	Min.	Máx.
Teor de fibras (kg/m³)	0,0	312,4	0,0	235,0	0,0	312,4
Fator de forma (adm)	15,0	100,0	20,2	80,6	15,0	82,0
Comprimento da fibra (mm)	12,0	60,0	12,0	60,0	12,0	60,0
Consumo de agregado miúdo (kg/m³)	446,6	1070,0	446,6	1070,0	446,6	1070,0
Consumo de agregado graúdo (kg/m³)	399,5	1384,0	641,0	1384,0	641,0	1384,0
Consumo de água (kg/m³)	72,0	272,4	137,0	240,0	88,0	230,8
Consumo de aditivo (kg/m³)	0,0	36,3	0,0	36,3	0,0	36,3
Consumo de sílica ativa (kg/m³)	0,0	127,6	0,0	120,8	0,0	120,8
Consumo de escória (kg/m³)	0,0	200,0	0,0	97,2	0,0	97,4
Consumo de cinza volante (kg/m³)	0,0	172,0	0,0	0,0	0,0	120,0
Consumo de metacaulim (kg/m³)	0,0	44,6	0,0	44,6	0,0	44,6
Consumo de cimento (kg/m³)	160,0	598,9	194,8	598,9	194,8	598,9
Resistência (MPa)	13,0	121,0	1,6	9,9	1,4	16,5

Real (MPa)	Previsto (MPa)	Variação (%)	Real (MPa)	Previsto (MPa)	Variação (%)
49,48	36,87	-25,5	42,77	42,54	-0,5
56,00	45,21	-19,3	42,30	42,08	-0,5
49,80	41,91	-15,8	82,80	82,44	-0,4
50,30	43,91	-12,7	52,20	52,13	-0,1
53,00	46,57	-12,1	42,40	42,36	-0,1
73,50	67,19	-8,6	77,00	77,11	0,1
65,90	60,26	-8,6	43,90	44,53	1,4
88,97	81,96	-7,9	67,40	68,49	1,6
59,70	55,18	-7,6	43,74	44,62	2,0
36,12	33,69	-6,7	40,90	42,10	2,9
62,30	58,24	-6,5	53,05	54,88	3,5
52,40	49,00	-6,5	31,90	33,06	3,6
73,80	69,23	-6,2	75,40	79,12	4,9
46,81	43,92	-6,2	34,60	36,42	5,3
30,20	28,39	-6,0	77,00	82,13	6,7
43,80	41,63	-4,9	61,70	65,90	6,8
92,70	88,62	-4,4	54,22	58,49	7,9
64,10	61,40	-4,2	65,00	70,44	8,4
89,52	86,22	-3,7	110,90	120,28	8,5
34,70	33,79	-2,6	27,21	29,71	9,2
90,30	88,52	-2,0	34,11	37,44	9,8
64,20	63,31	-1,4	41,10	46,73	13,7
63,30	62,53	-1,2	48,90	56,32	15,2
32,83	32,63	-0,6	38,50	45,68	18,6
83,50	83,02	-0,6	25,05	32,19	28,5
81,00	80,55	-0,6	28,30	37,88	33,8
MAE		3,64	MSE		22,63

Real (MPa)	Previsto (MPa)	Variação (%)	Real (MPa)	Previsto (MPa)	Variação (%)
4,37	3,90	-10,8	6,00	6,11	1,8
5,32	4,80	-9,7	7,90	8,06	2,0
4,71	4,32	-8,3	4,37	4,51	3,2
3,89	3,57	-8,2	3,12	3,25	4,1
5,33	4,91	-7,9	4,27	4,45	4,2
3,96	3,67	-7,2	4,06	4,28	5,3
2,79	2,62	-6,1	2,70	2,89	7,0
4,98	4,69	-5,8	3,62	3,89	7,5
6,21	6,17	-0,7	3,45	3,74	8,5
3,40	3,42	0,7	2,62	2,90	10,8
2,67	2,70	1,1	2,63	3,02	14,8
5,31	5,37	1,2	2,55	3,12	22,4
3,52	3,57	1,3
MAE		0,24	MSE		0,08

Real (MPa)	Previsto (MPa)	Variação (%)	Real (MPa)	Previsto (MPa)	Variação (%)
7,90	5,75	-27,2	9,21	9,17	-0,4
6,70	5,37	-19,9	3,40	3,58	5,4
1,78	1,44	-19,1	4,35	4,59	5,5
5,10	4,27	-16,3	8,24	8,79	6,7
4,31	3,68	-14,6	4,96	5,31	7,0
8,30	7,26	-12,5	2,14	2,36	10,4
6,08	5,36	-11,8	4,70	5,29	12,5
8,35	7,47	-10,5	12,30	13,85	12,6
6,48	5,84	-9,9	5,38	6,06	12,7
6,76	6,34	-6,2	6,25	7,47	19,5
12,58	12,02	-4,4	4,73	5,68	20,1
7,20	6,88	-4,4	6,37	7,92	24,4
9,72	9,58	-1,5	4,31	5,57	29,3
10,13	10,01	-1,1	3,64	4,77	31,1
MAE		0,74	MSE		0.80

Resistência	Cimento	Agregado miúdo	Agregado graúdo	Água	Teor de aditivo	Sílica ativa	Escória	Cinza volante	Metacaulim	Teor de fibra
Compressão	1	1,822	2,384	0,430	0,012	0,021	0,034	0,019	0,002	0,159
Tração	1	1,886	2,447	0,419	0,012	0,019	0,005	0,000	0,004	0,131
Flexão	1	1,948	2,578	0,438	0,011	0,010	0,004	0,015	0,004	0,139

[1] Leonária Araújo Silva Departamento de Engenharia Estrutural e Construção Civil | Universidade Federal do Ceará | Campus do Pici, s/n, Bloco 733 | Fortaleza - CE - Brasil | CEP 60440-900 | Tel.: (88) 99675-7558 | E-mail: leonaria@alu.ufc.br

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Modelagem preditiva de propriedades mecânicas em concretos reforçados com fibra de aço utilizando redes neurais artificiais

Predictive modeling of the mechanical properties of concrete reinforced with steel fiber using artificial neural networks

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