Flexural Modelling and Finite Element Analysis of FRC Beams Reinforced with PVA and Basalt Fibres and Their Validation
Table 2
Compression test results of plain concrete with and without fibres at 28 days.
Series
Cylinder IDs
Experimental results
Calculated results
Avg.
(MPa)
(mm/mm)
(mm/mm)
(MPa)
(MPa)
(MPa)
(MPa)
RI(f)
“P”
P-0
Cylinder 1
74.53
0.002372
0.012199
43,135
41,754
31,426
0.159
73.43
—
Cylinder 2
72.34
0.002204
0.011287
42,709
42,301
32,829
0.149
—
—
PP-1
Cylinder 1
75.61
0.002687
0.022323
43,329
40,022
28,139
0.186
73.97
0.455
Cylinder 2
72.34
0.002646
0.021088
42,696
39,220
27,339
0.178
—
0.455
PP-2
Cylinder 1
75.23
0.002936
0.024516
43,243
38,562
25,618
0.167
77.06
0.909
Cylinder 2
78.88
0.003078
0.019840
43,933
38,955
25,629
0.184
—
0.909
PP-3
Cylinder 1
74.56
0.002998
0.022076
43,102
38,065
24,871
0.236
75.74
1.364
Cylinder 2
76.92
0.002826
0.022500
43,553
39,631
27,217
0.225
—
1.364
PB-1
Cylinder 1
74.20
0.002335
0.019264
43,059
41,909
31,778
0.186
74.48
13.89
Cylinder 2
74.76
0.002406
0.019029
43,167
41,574
31,073
0.178
—
13.89
PB-2
Cylinder 1
78.02
0.002469
0.019525
43,772
42,208
31,599
0.167
78.39
27.78
Cylinder 2
78.77
0.002544
0.016495
43,913
41,932
30,965
0.184
—
27.78
PB-3
Cylinder 1
77.34
0.002560
0.014745
43,631
41,351
30,210
0.236
76.34
41.67
Cylinder 2
75.35
0.002412
0.016063
43,443
41,525
30,709
0.225
—
41.67
“S”
S-0
Cylinder 1
82.33
0.002319
0.014198
44,590
44,850
35,500
0.174
81.17
—
Cylinder 2
80.01
0.002376
0.022226
44,168
43,592
33,675
0.229
—
—
SP-1
Cylinder 1
81.58
0.002600
0.019254
44,442
43,580
33,379
0.170
82.17
0.455
Cylinder 2
82.75
0.002811
0.019839
44,653
41,491
29,438
0.199
—
0.455
SP-2¥
Cylinder 1
84.51
0.002660
0.017231
44,954
42,967
31,772
0.299
83.39
0.909
Cylinder 2
82.27
0.002351
0.019068
44,552
44,545
34,993
0.237
—
0.909
SP-3
Cylinder 1
82.24
0.002693
0.020304
44,534
42,040
30,538
0.283
82.01
1.364
Cylinder 2
81.78
0.002521
0.017923
44,452
43,060
32,441
0.297
—
1.364
SB-1
Cylinder 1
83.64
0.002464
0.022310
44,812
44,103
33,943
0.170
82.64
13.89
Cylinder 2
81.65
0.002430
0.01131
44,454
43,711
33,601
0.199
—
13.89
SB-2
Cylinder 1
82.39
0.002571
0.022026
44,575
42,908
32,046
0.299
83.51
27.78
Cylinder 2
84.63
0.002633
0.019979
44,975
43,186
32,143
0.237
—
27.78
SB-3
Cylinder 1
81.83
0.002672
0.015939
44,459
42,046
30,624
0.283
81.98
41.67
Cylinder 2
82.14
0.002727
0.018415
44,516
41,797
30,122
0.297
—
41.67
“M”
M-0
Cylinder 1
85.23
0.002381
0.011832
45,109
45,308
35,798
0.149
84.85
—
Cylinder 2
84.47
0.002316
0.017960
44,973
45,613
36,478
0.190
—
—
MP-1
Cylinder 1
84.91
0.002619
0.012112
45,039
43,378
32,422
0.166
84.19
0.455
Cylinder 2
83.46
0.002400
0.012304
44,781
44,552
34,777
0.191
—
0.455
MP-2
Cylinder 1
84.42
0.002654
0.018596
44,938
42,977
31,807
0.216
85.48
0.909
Cylinder 2
86.53
0.002678
0.017777
45,309
43,468
32,312
0.217
—
0.909
MP-3
Cylinder 1
81.74
0.002711
0.015828
44,444
41,774
30,152
0.253
82.91
1.364
Cylinder 2
84.07
0.002778
0.017877
44,862
42,071
30,264
0.259
—
1.364
MB-1
Cylinder 1
85.71
0.002552
0.017760
45,179
44,108
33,586
0.166
84.80
13.89
Cylinder 2
83.89
0.002437
0.014156
44,858
44,398
34,425
0.191
—
13.89
MB-2
Cylinder 1
86.20
0.002530
0.017112
45,251
44,420
34,070
0.216
87.06
27.78
Cylinder 2
87.91
0.002607
0.018787
45,549
44,392
33,723
0.217
—
27.78
MB-3
Cylinder 1
87.30
0.002535
0.015883
45,429
44,725
34,437
0.253
87.56
41.67
Cylinder 2
87.85
0.002760
0.012901
45,525
43,319
31,831
0.259
—
41.67
(a) Strain corresponding to peak stress, , (b) ultimate strain, (c) initial tangent modulus of elasticity is the slope at origin of the stress-strain curve, (d) secant modulus elasticity, (e) refer to Ayub et al. [10], and (f) reinforcing index by volume of fibres. Note. Each mix ID is distinguished based on the concrete type, fibre type, and fibre volume fraction. Mix ID PP-1: first letter “P” represents plain concrete, second letter “P” represents “PVA fibre,” and the number after hyphen represents “1%” fibre volume. ¥Mix ID SP-2: first letter “S” represents silica fume concrete, second letter “P” represents “PVA fibre,” and the number after hyphen represents “2%” fibre volume.
