Modeling investigation of tension stiffening effect in FRP reinforced concrete beams

doi:10.19936/j.cnki.2096-8000.20220228.002

Abstract

Abstract: Fiber reinforced polymer (FRP) reinforced concrete beams exhibit greater deflection and wider cracks than traditional reinforced concrete beams. The tension stiffening effect caused by the tensile force of the concrete between cracks has a significant impact on the deformation behavior of FRP reinforced concrete beams after cracking. This paper proposes a new constitutive relationship by introducing a weakening factor on the basis of the tensile stress-strain relationship of plain concrete, which reflects the effect of tension stiffening. The deformation behaviors of finite element simulation are consistent with the experimental results. The influence of the reinforcement ratio, concrete strength, elastic modulus of FRP bars, and concrete mixed with fibers on the tension stiffening effect was evaluated by the weakening coefficient. With the increase of reinforcement ratio and elastic modulus of FRP bars, the weakening coefficient increases and the tension stiffening effect decreases. With the increase of concrete strength or the incorporation of fiber into concrete, the weakening coefficient decreases and the tension stiffening effect increases. It indicated that the model can effectively predicate the deformation behavior of FRP reinforced concrete beams.

Key words: FRP bars, concrete beams, tension stiffening, finite element

CLC Number:

TB332

CHEN Guo-xiong, AN Ru, FU Shi-hua. Modeling investigation of tension stiffening effect in FRP reinforced concrete beams[J]. COMPOSITES SCIENCE AND ENGINEERING, 2022, 0(2): 11-18.

References

[1] 展婷变, 宁建国, 王志华, 等. 基于拉伸刚化的钢筋混凝土等效本构关系[J]. 北京理工大学学报, 2017, 37(9): 881-887.
[2] ALBITAR M, ALI M S M, VISINTIN P. Evaluation of tension-stiffening, crack spacing and crack width of geopolymer concretes[J]. Construction and Building Materials, 2018, 160: 408-414.
[3] 范兴朗, 黄俊超, 吴熙, 等. 考虑拉伸刚化效应的FRP筋/混凝土轴拉构件变形计算方法[J]. 复合材料学报, 2021, 38(3): 932-943.
[4] LEE G Y, KIM W. Cracking and tension stiffening behavior of high-strength concrete tension members subjected to axial load[J]. Advances in Structural Engineering, 2009, 12(2): 127-137.
[5] GRIBNIAK V, CALDENTEY A P, KAKLAUSKAS G, et al. Effect of arrangement of tensile reinforcement on flexural stiffness and cracking[J]. Engineering Structures, 2016, 124: 418-428.
[6] DAUD R A, DAUD S A, Al-AZZAWI A A. Tension stiffening evaluation of steel fibre concrete beams with smooth and deformed reinforcement[J]. Journal of King Saud University-Engineering Sciences, 2021, 33(3): 147-152.
[7] 黄华, 郝润奇, 黄敏. FRP筋混凝土结构的研究现状分析[J]. 玻璃钢/复合材料, 2018(7): 108-116.
[8] 张志金, 刘华新, 李庆文, 等. 无腹筋BFRP筋混凝土深梁受剪性能研究[J]. 玻璃钢/复合材料, 2019(1): 36-41.
[9] 高傲, 杨树桐, 高广希, 等. 海洋环境下BFRP筋与珊瑚混凝土粘结性能的试验研究[J]. 复合材料科学与工程, 2020(12): 43-53.
[10] BISCHOFF P H, PAIXAO R. Tension stiffening and cracking of concrete reinforced with glass fiber reinforced polymer (GFRP) bars[J]. Canadian Journal of Civil Engineering, 2004, 31(4): 579-588.
[11] NAYAL R, RASHEED H A. Tension stiffening model for concrete beams reinforced with steel and FRP bars[J]. Journal of Materials in Civil Engineering, 2006, 18(6): 831-841.
[12] SOORIYAARACHCHI H, PILAKOUTAS K, BYARS E. Tension stiffening behavior of GFRP-reinforced concrete[J]. Special Publication, 2005, 230: 975-990.
[13] DAVOUDI S, VOGEL H, SVECOVA D, et al. CFRP prestressed high-strength concrete prisms subjected to direct tension[J]. Journal of Composites for Construction, 2008, 12(6): 588-595.
[14] VILANOVA I, TORRES L, BAENA M, et al. Experimental study of tension stiffening in GFRP RC tensile members under sustained load[J]. Engineering Structures, 2014, 79: 390-400.
[15] GRIBNIAK V, KAKLAUSKAS G, TORRES L, et al. Comparative analysis of deformations and tension-stiffening in concrete beams reinforced with GFRP or steel bars and fibers[J]. Composites Part B: Engineering, 2013, 50: 158-170.
[16] RIMKUS A, BARROS J A O, GRIBNIAK V, et al. Mechanical behavior of concrete prisms reinforced with steel and GFRP bar systems[J]. Composite Structures, 2019, 220: 273-288.
[17] BAENA M, TURON A, TORRESL, et al. Experimental study and code predictions of fibre reinforced polymer reinforced concrete (FRPRC) tensile members[J]. Composite Structures, 2011, 93(10): 2511-2520.
[18] GHIASSI B, SOLTANI M, RAHNAMAYE SEPEHR S. Micromechanical modeling of tension stiffening in FRP-strengthened concrete elements[J]. Journal of Composite Materials, 2018, 52(19): 2577-2596.
[19] RAZAQPUR A G, SVECOVA D, CHEUNG M S. Rational method for calculating deflection of fiber-reinforced polymer reinforced beams[J]. ACI Structural Journal, 2000, 97(1): 175-184.
[20] ADAM M A, SAID M, MAHMOUD A A, et al. Analytical and experimental flexural behavior of concrete beams reinforced with glass fiber reinforced polymers bars[J]. Construction and Building Materials, 2015, 84: 354-366.
[21] EBEAD U A, MARZOUK H. Tension-stiffening model for FRP-strenghened RC concrete two-way slabs[J]. Materials and Structures, 2005, 38(2): 193-200.
[22] MIGLIETTA P C, GRASSELLI G, BENTZ E C. Finite/discrete element model of tension stiffening in GFRP reinforced concrete[J]. Engineering Structures, 2016, 111: 494-504.
[23] AlAM M S, HUSSEIN A. Idealized tension stiffening model for finite element analysis of glass fibre reinforced polymer (GFRP) reinforced concrete members[J]. Structures, 2020, 24: 351-356.
[24] 混凝土结构设计规范: GB 50010—2010[S]. 北京: 中国建筑工业出版社, 2010.
[25] ABDELKARIM O I, AHMED E A, MOHAMED H M, et al. Flexural strength and serviceability evaluation of concrete beams reinforced with deformed GFRP bars[J]. Engineering Structures, 2019, 186: 282-296.
[26] ELGABBAS F, VINCENT P, AHMED E A, et al. Experimental testing of basalt-fiber-reinforced polymer bars in concrete beams[J]. Composites Part B: Engineering, 2016, 91: 205-218.
[27] 刘华杰. 纤维塑料筋混凝土受弯构件试验研究与理论分析[D]. 上海: 同济大学, 2003.
[28] GOLDSTON M, REMENNIKOV A, SHEIKH M N. Experimental investigation of the behaviour of concrete beams reinforced with GFRP bars under static and impact loading[J]. Engineering Structures, 2016, 113: 220-232.
[29] BAENA M, TORRES L, TURON A, et al. Experimental study of bond behaviour between concrete and FRP bars using a pull-out test[J]. Composites Part B: Engineering, 2009, 40(8): 784-797.
[30] VELJKOVIC A, CARVELLI V, HAFFKE M M, et al. Concrete cover effect on the bond of GFRP bar and concrete under static loading[J]. Composites Part B: Engineering, 2017, 124: 40-53.
[31] AHMED H Q, JAF D K, YASEEN S A. Flexural strength and failure of geopolymer concrete beams reinforced with carbon fibre-reinforced polymer bars[J]. Construction and Building Materials, 2020, 231: 117185.
[32] 王洋. FRP 筋混凝土梁受弯性能研究[D]. 哈尔滨: 哈尔滨工业大学, 2018.
[33] RASHID K, LI X, XIE Y, et al. Cracking behavior of geopolymer concrete beams reinforced with steel and fiber reinforced polymer bars under flexural load[J]. Composites Part B: Engineering, 2020, 186: 107777.
[34] ABED F, ALHAFIZ A R. Effect of basalt fibers on the flexural behavior of concrete beams reinforced with BFRP bars[J]. Composite Structures, 2019, 215: 23-34.
[35] TAHA A, ALNAHHAL W, ALNUAIMI N. Bond durability of basalt FRP bars to fiber reinforced concrete in a saline environment[J]. Composite Structures, 2020, 243: 112277.
[36] CHELLAPANDIAN M, MANI A, PRAKASH S S. Effect of macro-synthetic structural fibers on the flexural behavior of concrete beams reinforced with different ratios of GFRP bars[J]. Composite Structures, 2020, 254: 112790.