Strength Development of High-Strength Ductile Concrete Incorporating Metakaolin and PVA Fibers

Table 4

Toughness indices at various volume fraction and aspect ratio of fibers.

Mix	Aspect ratio	Fiber lengt	Fiber diameter	Toughness indices as; per ASTM C-1018			Toughness index as per ACI 544
	l/d	h mm	mm	𝐼5	𝐼10	𝐼30	𝐼
00-0	—	—	—	1.0	1.0	1.0	1.0
A1-0	45	30	0.667	1.09	1.7	2.31	2.7
B1-0	60	12	0.2	2.1	3.35	4.38	4.35
C1-0	90	18	0.2	2.0	4.81	8.15	7.91
D1-0	120	24	0.2	2.45	4.55	6.69	5.55
A2-0	45	30	0.667	3.88	5.6	6.38	7.38
B2-0	60	12	0.2	2.98	4.57	6.04	5.57
C2-0	90	18	0.2	3.45	5.64	9.93	10.93
D2-0	120	24	0.2	2.95	5.04	7.34	6.41
00-5	—	—	—	1.0	1.0	1.0	1.0
A1-5	45	30	0.667	3.5	7.39	14.77	11.09
B1-5	60	12	0.2	2.77	3.88	5.89	5.53
C1-5	90	18	0.2	3.4	4.98	6.64	6.1
D1-5	120	24	0.2	3.44	5.13	6.85	6.13
A2-5	45	30	0.667	3.37	6.45	13.36	7.45
B2-5	60	12	0.2	2.89	4.27	5.48	4.42
C2-5	90	18	0.2	1.49	2.1	2.97	2.63
D2-5	120	24	0.2	3.30	6.35	11.5	9.56
00-10	—	—	—	1.0	1.0	1.0	1.0
A1-10	45	30	0.667	2.48	5.68	10.6	6.67
B1-10	60	12	0.2	3.17	4.07	5.03	4.62
C1-10	90	18	0.2	1.77	3.8	5.96	5.8
D1-10	120	24	0.2	3.48	4.08	6.41	6.17
A2-10	45	30	0.667	2.36	4.73	9.43	6.8
B2-10	60	12	0.2	5.51	9.06	12.57	8.02
C2-10	90	18	0.2	5.82	9.11	15.81	10.11
D2-10	120	24	0.2	3.61	5.23	8.03	6.23