Development of multi-fiber approach finite element model for reinforced concrete beam using frp reinforcements under pure torsion
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Multi-fiber beam, FRP materials, reinforced concrete beam, pure torsion
Tóm tắt
A finite element model using a multi-fiber approach is proposed in this paper for the analysis of reinforced concrete (RC) members using fiber-reinforced polymer (FRP) reinforcements, with a specific focus on the effect of pure torsion. The proposed model is formulated using a displacement-based approach and a kinematic assumption involving a two-node Timoshenko beam. The compatibility and equilibrium between concrete and FRP materials in the membrane elements are formulated based on a discretization of the cross-section into several areas following its stress state and the principle of the Modified Compression Field Theory. The nonlinear responses of RC elements with FRP bars can be predicted using an appropriate constitutive material law with internal equilibrium of transverse reinforcement and concrete. The pure torsional response is implemented using an enhanced formulation of concrete's tensile behavior, which is based on experimental tests on torsion and the characteristics of FRP materials. The good agreement between the numerical results and experimental data confirms the validity of the proposed modelTài liệu tham khảo
[1]. ACI - American Concrete Institute, State-of-the-Art report on fiber reinforced plastic (FRP) reinforcement for concrete structures, Technical Report, Committee 440 Rep. No. ACI 440R-96, American Concrete Institute, Farmington Hills, Mich, 2002.
[2]. Fib Task Group 9.3, Externally bonded FRP reinforcement for RC structures - Bulletin 14, Technical Report, International Federation for Structural Concrete (fib), 2001.
[3]. ACI - American Concrete Institute, Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars (ACI440.1 R-95), Detroit, Michigan: American Concrete Institute, 2015.
[4]. CSA - Canadian Standards, Design and Construction of Building Structures with Fibre Reinforced Polymers, 2017.
[5]. E. Raush, Design of reinforced concrete in torsion, Ph.D. thesis, Technische Hochschule, Berlin, Germany, 1929. https://doi.org/10.1061/TACEAT.0004907.
[6]. P. Lampert, B. Thurlimann, Ultimate Strength and Design of Reinforced Concrete Beams in Torsion and Bending, IABSE publications, 31 (1971) 645–655. https://doi.org/10.1007/978-3-0348-5954-7_1
[7]. C.-H. Jeng, T. Hsu, A softened membrane model for torsion in reinforced concrete members, Engineering Structures, 31 (2009) 1944–1954. https://doi.org/10.1016/j.engstruct.2009.02.038
[8]. K. Rahal, Torsional strength of reinforced concrete beams, Canadian Journal of Civil Engineering, 27 (2000) 445–453. http://dx.doi.org/10.1139/cjce-27-3-445
[9]. E. Spacone, F. Filippou, F. Taucer, Fiber beam-column model for non-linear analysis of r/c frames: Part 1. formulation, Earthquake Engineering and Structural Dynamics, 25 (1996) 711–725. https://doi.org/10.1002/(SICI)1096-9845(199607)25:7%3C711::AID-EQE576%3E3.0.CO;2-9fib Task Group 9.3, FRP reinforcement in RC structures - Bulletin 40, Technical Report, International Federation for Structural Concrete (fib), 2007.
[10]. J. Mazars, P. Kotronis, F. Ragueneau, G. Casaux, Using multifiber beams to account for shear and torsion: Applications to concrete structural elements, Computer Methods in Applied Mechanics and Engineering, (2006) 7264–7281. https://doi.org/10.1016/j.cma.2005.05.053
[11]. S. Capdevielle, S. Grange, F. Dufour, C. Desprez, A multifiber beam model coupling torsional warping and damage for reinforced concrete structures, European Journal of Environmental and Civil Engineering, (2015) 1–22. https://doi.org/10.1080/19648189.2015.1084384
[12]. P. Di Re, D. Addessi, A mixed 3d corotational beam with cross-section warping for the analysis of damaging structures under large displacements, Meccanica, 53 (2017). https://doi.org/10.1007/s11012-017-0749-3
[13]. C. E. Chalioris, Analytical model for the torsional behaviour of reinforced concrete beams retrofitted with frp materials, Engineering Structures, 29 (2007) 3263–3276. https://doi.org/10.1016/j.engstruct.2007.09.009
[14]. M. Ameli, H. R. Ronagh, Analytical method for evaluating ultimate torque of frp strengthened reinforced concrete beams, Journal of Composites for Construction, 11 (2008). https://doi.org/10.1061/(ASCE)1090-0268(2007)11:4(384)
[15]. A. Deifalla, A. Ghobarad, Full torsional behavior of rc beams wrapped with frp: Analytical model, Journal of Composites for Construction, 14 (2010). http://dx.doi.org/10.1061/(ASCE)CC.1943-5614.0000085
[16]. M. Y. Alabdulhady, L. Sneed, Torsional strengthening of reinforced concrete beams with externally bonded composites: A state of the art review, Construction and Building Materials, 205 (2019) 148–163. http://dx.doi.org/10.1016/j.conbuildmat.2019.01.163
[17]. A. Deifalla, M. Hamed, A. Saled, T. Ali, Exploring GFRP bars as reinforcement for rectangular and l-shaped beams subjected to significant torsion: An experimental study, Engineering Structures, 59 (2014) 776–786. http://dx.doi.org/10.1016/j.engstruct.2013.11.027
[18]. A. Hadhood, M. G. Gouda, M. H. Agamy, H. M. Mohamed, A. Sherif, Torsion in concrete beams reinforced with GFRP spiral, Engineering Structures, 206 (2019) 110–174. https://doi.org/10.1016/j.engstruct.2020.110174
[19]. T.A. Nguyen, Q.H. Nguyen, H. Somja, An enhanced finite element model for reinforced concrete members under torsion with consistent material parameters, Finite Element in Analysis and Design, 167 (2019). https://doi.org/10.1016/j.finel.2019.103323
[20]. F. J. Vecchio, M. P. Collins, The modified compression-field theory for reinforced concrete elements subjected to shear, Journal of the American Concrete Institute, 83 (1986) 219–231.
[21]. Nguyen Huy Cuong, Ngo Dang Quang, Experimental study on flexural behavior of prestressed and non-prestressed textile reinforced concrete plates, Transport and Communications Science Journal, 71 (2020) 37-45. https://doi.org/10.25073/tcsj.71.1.5
[22]. D. Q. Ngo, H. C. Nguyen, D. L. Mai, V. H. Vu, Experimental and numerical evaluation of concentrically loaded reinforced concrete columns strengthened by carbon textile reinforced concrete jacking, Civil Engineering Journal, 6 (2020). https://doi.org/10.28991/cej-2020-03091558
[23]. J. Navarro-Gregori, P. Miguel Sosa, M. Fernandez, F. Filippou, A 3d numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading, Engineering Structures, 29 (2007) 3404–3419. https://doi.org/10.1016/j.engstruct.2007.09.001
[24]. R. G. Selby, F. J. Vecchio, A constitutive model for analysis of reinforced concrete solids, Canadian Journal of Civil Engineering, 24 (1997). https://doi.org/10.1139/l96-135
[25]. D.D. Le, C.T.N. Tran, H.C. Nguyen, X.H. Nguyen, Torsional behavior of glass textile-reinforced concrete beams with minimum transverse reinforcements: Experimental study. Structural Concrete, 22 (2021) 3835–49. https://doi.org/10.1002/suco.202100498
[26]. ACI - American Concrete Institute, Building code requirements for structural concrete, ACI 318-19, American Concrete Institute, Farmington Hills, 2019.
[2]. Fib Task Group 9.3, Externally bonded FRP reinforcement for RC structures - Bulletin 14, Technical Report, International Federation for Structural Concrete (fib), 2001.
[3]. ACI - American Concrete Institute, Guide for the Design and Construction of Structural Concrete Reinforced with Fiber-Reinforced Polymer (FRP) Bars (ACI440.1 R-95), Detroit, Michigan: American Concrete Institute, 2015.
[4]. CSA - Canadian Standards, Design and Construction of Building Structures with Fibre Reinforced Polymers, 2017.
[5]. E. Raush, Design of reinforced concrete in torsion, Ph.D. thesis, Technische Hochschule, Berlin, Germany, 1929. https://doi.org/10.1061/TACEAT.0004907.
[6]. P. Lampert, B. Thurlimann, Ultimate Strength and Design of Reinforced Concrete Beams in Torsion and Bending, IABSE publications, 31 (1971) 645–655. https://doi.org/10.1007/978-3-0348-5954-7_1
[7]. C.-H. Jeng, T. Hsu, A softened membrane model for torsion in reinforced concrete members, Engineering Structures, 31 (2009) 1944–1954. https://doi.org/10.1016/j.engstruct.2009.02.038
[8]. K. Rahal, Torsional strength of reinforced concrete beams, Canadian Journal of Civil Engineering, 27 (2000) 445–453. http://dx.doi.org/10.1139/cjce-27-3-445
[9]. E. Spacone, F. Filippou, F. Taucer, Fiber beam-column model for non-linear analysis of r/c frames: Part 1. formulation, Earthquake Engineering and Structural Dynamics, 25 (1996) 711–725. https://doi.org/10.1002/(SICI)1096-9845(199607)25:7%3C711::AID-EQE576%3E3.0.CO;2-9fib Task Group 9.3, FRP reinforcement in RC structures - Bulletin 40, Technical Report, International Federation for Structural Concrete (fib), 2007.
[10]. J. Mazars, P. Kotronis, F. Ragueneau, G. Casaux, Using multifiber beams to account for shear and torsion: Applications to concrete structural elements, Computer Methods in Applied Mechanics and Engineering, (2006) 7264–7281. https://doi.org/10.1016/j.cma.2005.05.053
[11]. S. Capdevielle, S. Grange, F. Dufour, C. Desprez, A multifiber beam model coupling torsional warping and damage for reinforced concrete structures, European Journal of Environmental and Civil Engineering, (2015) 1–22. https://doi.org/10.1080/19648189.2015.1084384
[12]. P. Di Re, D. Addessi, A mixed 3d corotational beam with cross-section warping for the analysis of damaging structures under large displacements, Meccanica, 53 (2017). https://doi.org/10.1007/s11012-017-0749-3
[13]. C. E. Chalioris, Analytical model for the torsional behaviour of reinforced concrete beams retrofitted with frp materials, Engineering Structures, 29 (2007) 3263–3276. https://doi.org/10.1016/j.engstruct.2007.09.009
[14]. M. Ameli, H. R. Ronagh, Analytical method for evaluating ultimate torque of frp strengthened reinforced concrete beams, Journal of Composites for Construction, 11 (2008). https://doi.org/10.1061/(ASCE)1090-0268(2007)11:4(384)
[15]. A. Deifalla, A. Ghobarad, Full torsional behavior of rc beams wrapped with frp: Analytical model, Journal of Composites for Construction, 14 (2010). http://dx.doi.org/10.1061/(ASCE)CC.1943-5614.0000085
[16]. M. Y. Alabdulhady, L. Sneed, Torsional strengthening of reinforced concrete beams with externally bonded composites: A state of the art review, Construction and Building Materials, 205 (2019) 148–163. http://dx.doi.org/10.1016/j.conbuildmat.2019.01.163
[17]. A. Deifalla, M. Hamed, A. Saled, T. Ali, Exploring GFRP bars as reinforcement for rectangular and l-shaped beams subjected to significant torsion: An experimental study, Engineering Structures, 59 (2014) 776–786. http://dx.doi.org/10.1016/j.engstruct.2013.11.027
[18]. A. Hadhood, M. G. Gouda, M. H. Agamy, H. M. Mohamed, A. Sherif, Torsion in concrete beams reinforced with GFRP spiral, Engineering Structures, 206 (2019) 110–174. https://doi.org/10.1016/j.engstruct.2020.110174
[19]. T.A. Nguyen, Q.H. Nguyen, H. Somja, An enhanced finite element model for reinforced concrete members under torsion with consistent material parameters, Finite Element in Analysis and Design, 167 (2019). https://doi.org/10.1016/j.finel.2019.103323
[20]. F. J. Vecchio, M. P. Collins, The modified compression-field theory for reinforced concrete elements subjected to shear, Journal of the American Concrete Institute, 83 (1986) 219–231.
[21]. Nguyen Huy Cuong, Ngo Dang Quang, Experimental study on flexural behavior of prestressed and non-prestressed textile reinforced concrete plates, Transport and Communications Science Journal, 71 (2020) 37-45. https://doi.org/10.25073/tcsj.71.1.5
[22]. D. Q. Ngo, H. C. Nguyen, D. L. Mai, V. H. Vu, Experimental and numerical evaluation of concentrically loaded reinforced concrete columns strengthened by carbon textile reinforced concrete jacking, Civil Engineering Journal, 6 (2020). https://doi.org/10.28991/cej-2020-03091558
[23]. J. Navarro-Gregori, P. Miguel Sosa, M. Fernandez, F. Filippou, A 3d numerical model for reinforced and prestressed concrete elements subjected to combined axial, bending, shear and torsion loading, Engineering Structures, 29 (2007) 3404–3419. https://doi.org/10.1016/j.engstruct.2007.09.001
[24]. R. G. Selby, F. J. Vecchio, A constitutive model for analysis of reinforced concrete solids, Canadian Journal of Civil Engineering, 24 (1997). https://doi.org/10.1139/l96-135
[25]. D.D. Le, C.T.N. Tran, H.C. Nguyen, X.H. Nguyen, Torsional behavior of glass textile-reinforced concrete beams with minimum transverse reinforcements: Experimental study. Structural Concrete, 22 (2021) 3835–49. https://doi.org/10.1002/suco.202100498
[26]. ACI - American Concrete Institute, Building code requirements for structural concrete, ACI 318-19, American Concrete Institute, Farmington Hills, 2019.
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Nhận bài
21/08/2023
Nhận bài sửa
10/09/2023
Chấp nhận đăng
12/09/2023
Xuất bản
15/09/2023
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Kiểu trích dẫn
Nguyen Tuan, A., Le Dang, D., & Nguyen Xuan, H. (1694710800). Development of multi-fiber approach finite element model for reinforced concrete beam using frp reinforcements under pure torsion. Tạp Chí Khoa Học Giao Thông Vận Tải, 74(7), 819-832. https://doi.org/10.47869/tcsj.74.7.5
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