1.重庆大学,土木工程学院,重庆 400030
2.重庆大学,山地城镇建设与新技术教育部重点实验室,重庆 400030
杨红(1969- ),男,博士,教授,博士生导师,主要从事钢筋混凝土基本性能及结构抗震研究,E-mail:yangh@cqu.edu.cn。
收稿:2022-05-28,
纸质出版:2023-10-25
移动端阅览
杨红, 彭荣盛, 赵银. 不同强度钢筋考虑屈曲的低周疲劳损伤模型[J]. 土木与环境工程学报, 2023,45(5):147-160.
YANG Hong, PENG Rongsheng, ZHAO Yin. Low-cycle fatigue damage model of buckled steel bar with different strength[J]. Journal of Civil and Environmental Engineering, 2023, 45(5): 147-160.
杨红, 彭荣盛, 赵银. 不同强度钢筋考虑屈曲的低周疲劳损伤模型[J]. 土木与环境工程学报, 2023,45(5):147-160. DOI: 10.11835/j.issn.2096-6717.2022.092.
YANG Hong, PENG Rongsheng, ZHAO Yin. Low-cycle fatigue damage model of buckled steel bar with different strength[J]. Journal of Civil and Environmental Engineering, 2023, 45(5): 147-160. DOI: 10.11835/j.issn.2096-6717.2022.092.
钢筋混凝土柱受力后期的重要非弹性特征之一是纵向钢筋受压屈曲,以及反复拉压之后断裂,但可考虑钢筋屈曲的低周疲劳损伤模型很少,且少数考虑屈曲的疲劳损伤模型无法直接用于不同强度钢筋的疲劳损伤计算和断裂分析。对长径比为6.25、9.375、12.0、15.0的HRB400钢筋、HRB500钢筋试件分别进行考虑屈曲的拉压相等循环加载、拉压不等循环加载试验,测量平均应力-平均应变(
<math id="M1"><msub><mrow><mover accent="true"><mi>σ</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
2.70933342
3.72533321
-
<math id="M2"><msub><mrow><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
2.45533323
3.72533321
)曲线和跨中横向屈曲位移。与HRB600钢筋的相应试验结果结合,形成系统性试验数据。基于试验数据分析屈服强度、长径比对屈曲钢筋极限变形能力的影响,考察传统C-M疲劳寿命模型、基于总平均应变幅
<math id="M3"><msub><mrow><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">a</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.30200005
3.72533321
的修正C-M模型对屈曲钢筋的适用性,并分析误差原因;提出适用性较好的基于循环总平均应变幅
<math id="M4"><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></math>
http://notExist.jpg
http://notExist.jpg
1.43933344
2.79399991
sa-cyc
的修正C-M疲劳模型。结果表明:由于钢筋的
<math id="M5"><msub><mrow><mi>ε</mi></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">u</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.38666677
3.72533321
、
<math id="M6"><msub><mrow><mi>ε</mi></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">u</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">t</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
4.48733330
3.72533321
和
<math id="M7"><msub><mrow><mi>f</mi></mrow><mrow><mi mathvariant="normal">u</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
2.96333337
4.57200003
等力学性能参数不同,不同强度钢筋试件屈曲后的低周疲劳受力性能存在差异;屈曲钢筋循环受力时的极限变形能力与低周疲劳损伤有关,仅根据单调受拉的极限拉应变
<math id="M8"><msub><mrow><mi>ε</mi></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">u</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.38666677
3.72533321
不能正确判断钢筋的断裂状态;基于总平均应变幅
<math id="M9"><msub><mrow><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">a</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.30200005
3.72533321
的修正C-M模型无法合理考虑不同加载方式对屈曲钢筋低周疲劳寿命的影响,存在系统误差;基于
<math id="M10"><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></math>
http://notExist.jpg
http://notExist.jpg
1.43933344
2.79399991
sa-cyc
的修正C-M模型可合理考虑不同加载方式的影响,能直接用于不同强度、不同长径比钢筋,且误差较小。
One of the important inelastic characteristics of reinforced concrete columns during the strain-softening stage is the buckling and the fracture of longitudinal reinforcement after tension-compression cyclic loading. However
there are few low cycle fatigue damage models considering the influence of buckling
and a few fatigue damage models considering buckling cannot be directly used for fatigue damage calculation and fracture analysis of steel bar with different strength. In this paper
the specimens of HRB400 reinforcement and HRB500 reinforcement with slenderness ratios of 6.25
9.375
12.0 and 15.0 were subjected to tension compression equal cyclic loading and tension compression unequal cyclic loading considering buckling respectively. The average stress-strain (
<math id="M11"><msub><mrow><mover accent="true"><mi>σ</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
2.70933342
3.72533321
-
<math id="M12"><msub><mrow><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
2.45533323
3.72533321
) curves and mid-span transverse displacements of buckled specimens were measured. Combined with the corresponding test results of HRB600 reinforcement completed by the author
a systematic test data was constituted. Based on the test results
the effects of yield strength and slenderness ratio on the ultimate deformation capacity of buckled reinforcement were analyzed
the applicability of the traditional low cycle fatigue damage model (C-M model) and the modified C-M model based on the total average strain amplitude
<math id="M13"><msub><mrow><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">a</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.30200005
3.72533321
to the buckled reinforcement was investigated
and the errors were analyzed. A modified C-M fatigue damage model based on cyclic total average strain amplitude
<math id="M14"><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></math>
http://notExist.jpg
http://notExist.jpg
1.43933344
2.79399991
sa-cyc
with good applicability was proposed. The results show that specimens with different strength have different low cycle fatigue performance due to the different mechanical properties of steel bar
such as
<math id="M15"><msub><mrow><mi>ε</mi></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">u</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.38666677
3.72533321
,
<math id="M16"><msub><mrow><mi>ε</mi></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">u</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">t</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
4.48733330
3.72533321
and
<math id="M17"><msub><mrow><mi>f</mi></mrow><mrow><mi mathvariant="normal">u</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
2.96333337
4.57200003
etc. The ultimate deformation capacity of buckled steel bar under cyclic loading is related to low cycle fatigue damage
the fracture of steel bars cannot be correctly determined by the ultimate tensile strain
<math id="M18"><msub><mrow><mi>ε</mi></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">u</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.38666677
3.72533321
under monotonic tension. The modified C-M model based on the total average strain amplitude
<math id="M19"><msub><mrow><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></mrow><mrow><mi mathvariant="normal">s</mi><mi mathvariant="normal">a</mi></mrow></msub></math>
http://notExist.jpg
http://notExist.jpg
3.30200005
3.72533321
cannot reasonably consider the influence of different loading methods on the low cycle fatigue life of buckled reinforcement
and there are systematic errors. The modified C-M model based on
<math id="M20"><mover accent="true"><mi>ε</mi><mo>¯</mo></mover></math>
http://notExist.jpg
http://notExist.jpg
1.43933344
2.79399991
sa-cyc
can reasonably consider the influence of different loading methods
and can be directly used for reinforcement of different strength and slenderness ratio with small error.
韩小雷 , 周新显 , 季静 , 等 . 基于构件性能的钢筋混凝土结构抗震评估方法研究 [J]. 建筑结构学报 , 2014 , 35 ( 4 ): 177 - 184 .
HAN X L , ZHOU X X , JI J , et al . Research on component-performance-based seismic assessment of RC structures [J]. Journal of Building Structures , 2014 , 35 ( 4 ): 177 - 184 . (in Chinese)
KUNNATH S K , HEO Y , MOHLE J F . Nonlinear uniaxial material model for reinforcing steel bars [J]. Journal of Structural Engineering , 2009 , 135 ( 4 ): 335 - 343 .
PANTAZOPOULOU S J . Detailing for reinforcement stability in RC members [J]. Journal of Structural Engineering , 1998 , 124 ( 6 ): 623 - 632 .
MOYER M J , KOWALSKY M J . Influence of tension strain on buckling of reinforcement in concrete columns [J]. ACI Structural Journal , 2003 , 100 ( 1 ): 75 - 85 .
MASSONE L M . Fundamental principles of the reinforced concrete design code changes in Chile following the Mw 8.8 earthquake in 2010 [J]. Engineering Structures , 2013 , 56 : 1335 - 1345 .
YANG H , SUN P X , DENG Y J . Experiment investigation of the influence of reinforcing bar buckling on seismic behavior of RC columns [J]. Engineering Structures , 2020 , 220 : 110923 .
BROWN W A , LEHMAN D E , STANTON J F . Bar buckling in reinforced concrete bridge columns: PEER Report 2007/11 [R]. PEER Center, Berkeley, CA , 2008 .
SU J S , WANG J J , BAI Z Z , et al . Influence of reinforcement buckling on the seismic performance of reinforced concrete columns [J]. Engineering Structures , 2015 , 103 : 174 - 188 .
EL-BAHY A , KUNNATH S K , STONE W C , et al . Cumulative seismic damage of circular bridge columns: Benchmark and low-cycle fatigue tests [J]. ACI Structural Journal , 1999 , 96 ( 4 ): 633 - 641 .
COFFIN L . A study of the effects of cyclic thermal stresses on a ductile metal [J]. American Society of Mechanical Engineers , 1954 , 76 : 931 - 950 .
MANSON S S . Behavior of materials under conditions of thermal stress [R]. Heat Transfer Symposium, University of Michigan Engineering Research Institute, Ann Arbor, Michigan , 1953 .
WANG M L , SHAH S P . Reinforced concrete hysteresis model based on the damage concept [J]. Mathematical and Computer Modelling , 1989 , 12 ( 3 ): 377 - 378 .
KOH S K , STEPHENS R I . Mean stress effects on low cycle fatigue for a high strength steel [J]. Fatigue & Fracture of Engineering Materials and Structures , 1991 , 14 ( 4 ): 413 - 428 .
MCCABE S L , HALL W J . Assessment of seismic structural damage [J]. Journal of Structural Engineering , 1989 , 115 ( 9 ): 2166 - 2183 .
MANDER J B , PANTHAKI F D , KASALANATI A . Low-cycle fatigue behavior of reinforcing steel [J]. Journal of Materials in Civil Engineering , 1994 , 6 ( 4 ): 453 - 468 .
HAWILEH R A , ABDALLA J A , OUDAH F , et al . Low-cycle fatigue life behaviour of BS 460B and BS B500B steel reinforcing bars [J]. Fatigue & Fracture of Engineering Materials & Structures , 2010 , 33 ( 7 ): 397 - 407 .
张耀庭 , 赵璧归 , 李瑞鸽 , 等 . HRB400钢筋单调拉伸及低周疲劳性能试验研究 [J]. 工程力学 , 2016 , 33 ( 4 ): 121 - 129 .
ZHANG Y T , ZHAO B G , LI R G , et al . Monotonic and low cycle fatigue testing and research for HRB400 steel [J]. Engineering Mechanics , 2016 , 33 ( 4 ): 121 - 129 . (in Chinese)
郑家良 , 盛光敏 , 王丽鹃 , 等 . HRB500E钢筋高应变低周疲劳性能研究 [J]. 钢铁钒钛 , 2014 , 35 ( 5 ): 129 - 135 .
ZHENG J L , SHENG G M , WANG L J , et al . Investigation of high strain and low cycle fatigue behaviors for HRB500E rebars [J]. Iron Steel Vanadium Titanium , 2014 , 35 ( 5 ): 129 - 135 . (in Chinese)
孙传智 , 缪长青 , 李爱群 , 等 . 630 MPa超高强钢筋低周疲劳性能试验研究 [J]. 建筑结构学报 , 2021 , 42 ( 4 ): 194 - 202 .
SUN C Z , MIAO C Q , LI A Q , et al . Experimental study on low cycle fatigue properties of 630 MPa super-high strength steel bar [J]. Journal of Building Structures , 2021 , 42 ( 4 ): 194 - 202 . (in Chinese)
DHAKAL R P , MAEKAWA K . Modeling for postyield buckling of reinforcement [J]. Journal of Structural Engineering , 2002 , 128 ( 9 ): 1139 - 1147 .
KUNNATH S K , KANVINDE A , XIAO Y , et al . Effects of buckling and low cycle fatigue on seismic performance of reinforcing bars and mechanical couplers for critical structural members: A technical report submitted to the California Department of Transportation under Contract 59A0539 [R]. Davis, California, USA : University of California at Davis , 2009 .
RODRIGUEZ M E , BOTERO J C , VILLA J . Cyclic stress-strain behavior of reinforcing steel including effect of buckling [J]. Journal of Structural Engineering , 1999 , 125 ( 6 ): 605 - 612 .
MONTI G , NUTI C . Nonlinear cyclic behavior of reinforcing bars including buckling [J]. Journal of Structural Engineering , 1992 , 118 ( 12 ): 3268 - 3284 .
GOMES A , APPLETON J . Nonlinear cyclic stress-strain relationship of reinforcing bars including buckling [J]. Engineering Structures , 1997 , 19 ( 10 ): 822 - 826 .
KASHANI M M , BARMI A K , MALINOVA V S . Influence of inelastic buckling on low-cycle fatigue degradation of reinforcing bars [J]. Construction and Building Materials , 2015 , 94 : 644 - 655 .
TRIPATHI M , DHAKAL R P , DASHTI F , et al . Low-cycle fatigue behaviour of reinforcing bars including the effect of inelastic buckling [J]. Construction and Building Materials , 2018 , 190 : 1226 - 1235 .
杨红 , 冉小峰 , 谢琴 . 考虑屈曲效应的混凝土柱纵筋低周疲劳性能和变形能力研究 [J]. 建筑结构学报 , 2021 , 42 ( 3 ): 102 - 113 .
YANG H , RAN X F , XIE Q . Study on low-cycle fatigue behavior and deformation capacity of longitudinal steel bar in RC columns considering effect of buckling [J]. Journal of Building Structures , 2021 , 42 ( 3 ): 102 - 113 . (in Chinese)
杨红 , 蒋惠 , 冉小峰 . HRB600钢筋屈曲受力性能试验研究 [J]. 工程力学 , 2022 , 39 ( 6 ): 83 - 98 .
YANG H , JIANG H , RAN X F . Experimental research on the buckling behavior of HRB600 steel bars [J]. Engineering Mechanics , 2022 , 39 ( 6 ): 83 - 98 . (in Chinese)
钢筋混凝土用钢 第2部分:热轧带肋钢筋: GB/T 1499.2—2018 [S] 北京: 中国标准出版社 , 2018 .
Steel for the reinforcement of concrete-Part 2: Hot rolled ribbed bars : GB/T 1499.2—2018 [S]. Beijing : Standards Press of China , 2018 . (in Chinese)
刘子珅 , 杨红 , 张吉庆 . 基于横向挠度的钢筋屈曲状态判断方法研究 [J]. 工程力学 , 2018 , 35 ( 2 ): 144 - 152 .
LIU Z S , YANG H , ZHANG J Q . Research on buckling state determination of reinforcing bars based on lateral deflection [J]. Engineering Mechanics , 2018 , 35 ( 2 ): 144 - 152 . (in Chinese)
MINER M A . Cumulative damage in fatigue [J]. Journal of Applied Mechanics , 1945 , 12 ( 3 ): 159 - 164 .
BROWN J , KUNNATH S K . Low-cycle fatigue failure of reinforcing steel bars [J]. ACI Materials Journal , 2004 , 101 ( 6 ): 457 - 466 .
吕品 . HRB500高强钢筋低周疲劳性能研究 [D]. 辽宁 大连 : 大连理工大学 , 2011 .
LV P . Research on low cycle fatigue behavior of high strength steel HRB500 [D]. Dalian, Liaoning : Dalian University of Technology , 2011 . (in Chinese)
薛昊飞 . 钢筋高应变低周疲劳寿命的统计分析及钒微合金化的影响 [D]. 重庆 : 重庆大学 , 2012 : 21 - 50 .
XUE H F . Statistical analysis of high strain and low cycle fatigue life of rebars and the effect of vanadium microalloying [D]. Chongqing : Chongqing University , 2012 : 21 - 50 . (in Chinese)
0
浏览量
5
下载量
0
CSCD
关联资源
相关文章
相关作者
相关机构
京公网安备11010802024621