journal article·2025-12Open access

Study on stress relaxation behavior of steel strands and its induced strengthening effect on strength properties

Yukai Zhu, Rongxin Guo, Chaoshu Fu, Liming Tan, Jingpeng Jia, Fucun Li, Yingxiong Zhang

Abstract

The long-term service performance of steel strands in bridge structures is crucial to ensure the durability of the structure. Under long-term loads, steel strands are prone to stress relaxation, but the mechanical behavior and microstructural evolution laws are still unclear. This study systematically analyzes the changes in strength properties of steel strands after stress relaxation at different initial stress levels. First, stress relaxation experiments at four initial stress levels were conducted to quantify the stress attenuation characteristics of steel strands over time and predict the long-term relaxation rate. Subsequently, tensile tests were performed to evaluate the changes in strength properties of the steel strands after relaxation. Transmission electron microscopy (TEM) was used to observe the microstructural evolution of the steel strands after relaxation, and the contributions of dislocation density and interlamellar spacing changes to strength were analyzed in combination with Taylor hardening theory and Hall-Petch relationship. The results show that the stress relaxation rate of the steel strand increases nonlinearly with the increase of the initial stress level, and shows a certain strengthening effect after relaxation, with the yield strength and ultimate tensile strength increasing by 3.7 % and 2.3 %, respectively. During the relaxation process, the dislocation density increases significantly (from 10 ¹⁴ m⁻² to 10 ¹⁵ m⁻²), the cementite lamellae are significantly bent and broken, and the interlamellar spacing increases. At moderate stress levels, dislocation accumulation mainly drives the strength improvement, while at higher stress levels, the destruction of the lamella structure weakens the grain boundary strengthening effect, limiting further strength improvement. The results of this study can provide important basis for the practical design of steel strands and the evaluation of stress relaxation behavior under long-term service conditions. • The stress relaxation behavior of high-strength steel strands at four initial stress levels for 120 h was studied. • The relaxation rate increases nonlinearly with the initial stress, and recommended values for 50 years are provided. • Relaxation enhances yield and tensile strength via dislocation strengthening and cementite lamellae fragmentation.
Source: openalex_inverted_index · Quality: baseline

Research context

OpenAlex topics: Structural Load-Bearing Analysis · Mechanical stress and fatigue analysis · Structural Behavior of Reinforced Concrete

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (50)

Show source-provided references
1. Disproportionate collapse analysis of cable-stayed steel roofs for cable loss10.1007/S13296-011-1008-4 ↗
2. An investigation on stressing and breakage response of a prestressing strand using an efficient finite element model10.1016/j.engstruct.2016.05.030 ↗
3. Mechanical properties of high tensile steel cables at elevated temperatures10.1016/j.conbuildmat.2018.06.012 ↗
4. A review of developments in steel: implications for long-span structures10.1007/s12666-020-02173-7 ↗
5. Experimental study on stress relaxation properties of structural cables10.1016/j.conbuildmat.2018.04.224 ↗
6. Time-dependent analysis of cable domes using a modified dynamic relaxation method and creep theory10.1016/j.compstruc.2013.04.019 ↗
7. A study of stress relaxation in prestressing reinforement10.15554/pcij.04011964.13.57 ↗
8. Study on stress relaxation of simple spiral strand subjected to tensile load based on semi-analytical method10.1016/j.advengsoft.2018.11.007 ↗
9. Validity and limitations of linear analytical models for steel wire strands under axial loading, using a 3D FE model10.1016/j.ijmecsci.2007.03.014 ↗
10. Rotation-affected bond strength model between steel strand and concrete10.1016/j.engstruct.2019.110060 ↗
11. A combined experimental-numerical framework for assessing the load-bearing capacity of existing PC bridge decks accounting for corrosion of prestressing strands10.3390/ma14174914 ↗
12. Accurate time-dependent analysis of concrete bridges considering concrete creep, concrete shrinkage and cable relaxation10.1016/j.engstruct.2010.09.024 ↗
13. An innovative approach for numerical simulation of stress relaxation of structural cables10.1016/j.ijmecsci.2017.08.011 ↗
14. Stress relaxation properties of prestressed steel wires10.1016/S0924-0136(03)00131-6 ↗
15. Effect of temperature on the mechanical properties of low relaxation seven-wire prestressing strand10.1016/j.conbuildmat.2016.07.080 ↗
16. Experimental study of stress relaxation performance of steel cables at room temperature10.1061/(ASCE)MT.1943-5533.0003613 ↗
17. Creep and stress relaxation experiments of 1960-grade high-strength steel wire at elevated temperatures10.1016/j.istruc.2023.105682 ↗
18. Prestress loss of twisted wire strands and parallel wire strands at elevated temperatures10.1016/j.engstruct.2023.116483 ↗
19. Mechanical properties of 1670 MPa parallel wire strands at elevated temperatures10.1016/j.conbuildmat.2020.120582 ↗
20. Stress relaxation behavior of prestressing strands under low temperatures10.15554/pcij65.1-02 ↗
21. Range-expansion technology and fatigue performance study on the self-sensing steel strand with an embedded fibre bragg grating sensor10.1111/str.12354 ↗
22. A novel smart steel strand based on optical-electrical co-sensing for full-process and full-scale monitoring of prestressing concrete structures10.1080/19475411.2023.2237940 ↗
23. Epoxy coated seven-wire strand for prestressed concrete10.15554/pcij.07011984.120.129 ↗
24. Thermal–mechanical deformation of galfan-coated steel strands at elevated temperatures10.1016/j.jcsr.2021.106574 ↗
25. Monitoring of prestress and bond stress of self-sensing FBG steel strand10.1016/j.measurement.2021.109246 ↗
26. Mechanical properties of a new prestressing strand with ultimate strength of 2160 MPa10.1007/s12205-014-0065-6 ↗
27. Applicability of 2360 MPa grade prestressing steel strand: performance of material, bond, and anchorage system10.1016/j.conbuildmat.2020.120941 ↗
28. A new approach to estimate stress relaxation in a high strength steel wire using nanoindentation and finite element analysis10.1016/j.istruc.2024.106016 ↗
29. Dilation behavior of seven-wire prestressing strand – the hoyer effect10.1016/j.conbuildmat.2012.11.064 ↗
30. Bending-induced stresses in parallel seven-wire strand stay cables10.1061/JBENF2.BEENG-6747 ↗
31. STANDARD B. Metallic materials—Tensile testing[J]. 2010.
32. 15630-1. Steel for the reinforcement and prestressing of concrete
33. An experimental study on stress relaxation behaviour of high strength steel wire: microstructural evolution and degradation of mechanical properties10.1016/j.conbuildmat.2020.119926 ↗
34. Dabous · 2000
35. Relaxation characteristics of prestressing strand[J]
36. GB/T10120-2013, Metallic materials-Tensile stress relaxation-Method of test, Beijing.China, 2013.
37. Beton · 2013
38. GB/T 21839-2019 · 2019
39. B.S., Eurocode 2: Design of concrete structures, Part 1. 1 (2004) 230, General rules and rules for buildings (1992).
40. Instability of dislocation substructure and its effect on the mechanical properties of deformed metals10.1515/ijmr-1999-900210 ↗
41. Measurement of dislocation density in cold-drawn steel wires by means of X-ray bragg profiles analysis10.4028/www.scientific.net/AMM.184-185.1054 ↗
42. Dislocation-based plasticity and strengthening mechanisms in sub-20 nm lamellar structures in pearlitic steel wire10.1016/j.actamat.2016.04.040 ↗
43. Dislocation density and configuration in fully pearlitic steel during wire drawing10.1179/1432891714Z.000000000688 ↗
44. Microstructure and strength in ultrastrong cold-drawn medium carbon steel10.1016/j.jmst.2021.04.027 ↗
45. The mechanism of plastic deformation of crystals. Part I.—theoretical
46. Hall–petch relation and boundary strengthening10.1016/j.scriptamat.2004.06.002 ↗
47. A comprehensive mathematical formulation of an extended taylor–bishop–hill model featuring relaxed constraints, the renouard–wintenberger theory and a strain rate sensitivity model10.1155/TSM.8-9.313 ↗
48. Microstructure and strengthening mechanisms in cold-drawn pearlitic steel wire10.1016/j.actamat.2011.02.017 ↗
49. The tensile properties of pearlite, bainite and spheroidite
50. Influence of pre-torsion deformation on microstructures and properties of cold drawing pearlitic steel wires10.1016/j.matdes.2013.02.047 ↗