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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

邮发代号 80-968

2019 Impact Factor: 1.68

Frontiers of Structural and Civil Engineering  2023, Vol. 17 Issue (7): 1060-1071   https://doi.org/10.1007/s11709-023-0981-y
  本期目录
Elevated temperature creep model of parallel wire strands
Yong DU1, Yongjin WU1, Abdullahi M. UMAR1, Shaojun ZHU2()
1. College of Civil Engineering, Nanjing Tech University, Nanjing 211816, China
2. College of Civil Engineering, Tongji University, Shanghai 200092, China
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Abstract

Parallel wire strands (PWSs), which are widely used in prestressed steel structures, are typically in high-stress states. Under fire conditions, significant creep effects occur, reducing the prestress and influencing the mechanical behavior of PWSs. As there is no existing approach to analyze their creep behavior, this study experimentally investigated the elevated temperature creep model of PWSs. A charge-coupled camera system was incorporated to accurately obtain the deformation of the specimen during the elevated temperature creep test. It was concluded that the temperature level had a more significant effect on the creep strain than the stress level, and 450 °C was the key segment point where the creep rate varied significantly. By comparing the elevated temperature creep test results for PWSs and steel strands, it was found that the creep strain of PWSs was lower than that of steel strands at the same temperature and stress levels. The parameters in the general empirical formula, the Bailey–Norton model, and the composite time-hardening model were fitted based on the experimental results. By evaluating the accuracy and form of the models, the composite time-hardening model, which can simultaneously consider temperature, stress, and time, is recommended for use in the fire-resistance design of pre-tensioned structures with PWSs.

Key wordsparallel wire strands    experimental study    elevated temperature creep model
收稿日期: 2022-11-29      出版日期: 2023-09-20
Corresponding Author(s): Shaojun ZHU   
 引用本文:   
. [J]. Frontiers of Structural and Civil Engineering, 2023, 17(7): 1060-1071.
Yong DU, Yongjin WU, Abdullahi M. UMAR, Shaojun ZHU. Elevated temperature creep model of parallel wire strands. Front. Struct. Civ. Eng., 2023, 17(7): 1060-1071.
 链接本文:  
https://academic.hep.com.cn/fsce/CN/10.1007/s11709-023-0981-y
https://academic.hep.com.cn/fsce/CN/Y2023/V17/I7/1060
Fig.1  
fpk (MPa) nw dw (mm) A (mm2) d (mm) L (mm)
1670 7 7 269 21 600
Tab.1  
Fig.2  
Fig.3  
Fig.4  
Fig.5  
θ (°C) Ep,θ (105 MPa) fpp,θ (MPa) f0.2%,θ (MPa) f1.0%,θ (MPa) f1.5%,θ (MPa) f2.0%,θ (MPa) fpt,θ (MPa) εpp,θ (%) εpt,θ (%) εpu,θ (%)
20 2.01 1283 1544 1549 1598 1635 1722 0.65 4.41 4.41
100 1.92 1139 1486 1494 1552 1608 1680 0.60 3.03 4.91
200 1.84 1062 1304 1342 1473 1542 1662 0.58 5.71 5.81
300 1.67 567 1056 1129 1222 1267 1335 0.34 4.44 5.98
400 1.41 465 723 801 860 881 899 0.33 3.99 13.50
500 0.80 264 366 424 457 469 475 0.24 3.35 18.25
600 0.39 70 114 139 148 151 157 0.18 3.31 33.87
700 0.15 31 41 46 48 48 51 0.21 4.53 30.50
800 0.09 18 34 36 37 38 41 0.20 4.03 46.31
Tab.2  
θ (°C) f2.0%,θ (MPa) stress level (MPa)/stress ratio
350 1031 511/0.31, 617/0.38, 734/0.45
400 881 442/0.27, 511/0.31, 617/0.38
450 635 316/0.19, 381/0.23, 442/0.27
500 469 238/0.15, 284/0.17, 310/0.19
Tab.3  
Fig.6  
Fig.7  
Fig.8  
θ (°C) σ (MPa) σ/fpt,θ εcr,θ (%) εpt,θ (%) εcr,θ/εpt,θ (%)
350 734 0.48 0.27 4.37 6.25
400 617 0.40 0.49 3.99 12.17
450 441 0.29 0.91 3.44 26.45
500 310 0.20 2.56 3.35 76.36
Tab.4  
Fig.9  
Fig.10  
θ (°C) σ (MPa) b n k R2
350 511 0.0093 0.461 3.09 × 10−6 0.99
617 0.0173 0.478 6.62 × 10−6 0.99
734 0.0472 0.371 7.03 × 10−6 0.98
400 442 0.0193 0.440 5.95 × 10−6 0.98
511 0.0298 0.440 7.64 × 10−6 0.98
617 0.0552 0.454 1.84 × 10−5 0.99
450 316 0.0305 0.532 1.59 × 10−5 0.99
381 0.0464 0.548 3.33 × 10−5 0.99
442 0.0598 0.564 4.80 × 10−5 0.99
500 238 0.0656 0.554 4.52 × 10−5 0.99
284 0.1003 0.612 1.09 × 10−4 0.99
310 0.0850 0.701 1.76 × 10−4 0.99
Tab.5  
Fig.11  
Fig.12  
Fig.13  
Fig.14  
θ (°C) B0 m n0 B n R2
350 1.528 × 10−11 0.401 3.293 1.213 × 10−23 1.890 0.99
400 2.185 × 10−11 0.443 3.373 7.348 × 10−30 9.047 0.99
450 3.252 × 10−8 0.558 2.375 7.254 × 10−29 3.561 0.99
500 8.953 × 10−9 0.528 2.860 1.407 × 10−13 4.328 0.99
Tab.6  
fitting parameter value
20 °C ≤ θ≤ 450 °C 450 °C < θ≤ 500 °C
ɑ1 2.760 × 10−8 1.800 × 10−2
ɑ2 3.245 2.271
ɑ3 −0.575 −0.514
ɑ4 2849.604 5919.452
ɑ5 0.065 3.572
ɑ6 17.034 4.957
ɑ7 45939.693 17121.403
R2 0.997 0.995
Tab.7  
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