Finite element modelling of shear critical glass fibre-reinforced polymer (GFRP) reinforced concrete beams

References

• Michaluk CR, Rizkalla SH, Tadros G, et al. Flexural behaviour of one-way slabs reinforced by fibre reinforced plastic reinforcement. ACI Struct J. 1998;95(3):353–365.
   Web of Science ®Google Scholar
• Ferreira AJM, Camanho PP, Marques AT, et al. Modelling of concrete beams reinforced with FRP re-bars. Comp Struct. 2001;53(1):101–116.
   Google Scholar
• Nour A, Massicotte B, Yildiz E, et al. Finite element modelling of concrete structures reinforced with internal and external fibre-reinforced polymers. Can J Civil Eng. 2007;34(3):340–354.
   Web of Science ®Google Scholar
• Rashid YR. Ultimate strength analysis of prestressed concrete pressure vessels. Nucl Eng Des. 1968;7(4):334–344.
   Web of Science ®Google Scholar
• ABAQUS. User’s manual. Version 6.7. Providence, RI, USA: Hibbitt, Karlsson & Sorensen Inc; 2007.
   Google Scholar
• Bischoff PH, Paixao R. Tension stiffening and cracking of concrete reinforced with glass fibre reinforced polymer (GFRP) bars. Can J Civ Eng. 2004;31(4):579–588.
   Web of Science ®Google Scholar
• Rafi MM, Nadjai A, Ali F. Analytical modelling of concrete beams reinforced with carbon FRP bars. J Compos Mater. 2007;41(22):2675–2690.
   Web of Science ®Google Scholar
• Popovics S. A numerical approach to the complete stress-strain curve of concrete. Cement Concr Res. 1973;3(5):583–599.
   Google Scholar
• Thorenfeldt E, Tomaszewicz A, Jensen JJ Mechanical properties of high strength concrete and applications in design. In Proceedings of the Symposium utilization of high-strength concrete; Trondheim, Norway; 1987. (149–159).
   Google Scholar
• Zhang YZ, Lin X. Nonlinear finite element analyses of steel/FRP-reinforced concrete beams by using a novel composite beam element. Adv Struct Eng. 2013;16(2):339–352.
   Web of Science ®Google Scholar
• Stoner J Finite element modelling of GFRP reinforced concrete beams [Masters’ Thesis]. University of Waterloo; 2015.
   Google Scholar
• Krall M Tests on concrete beams with GFRP flexural and shear reinforcements & analysis method for indeterminate strut-and-tie models with brittle reinforcements [Masters’ Thesis]. University of Waterloo; 2014.
   Google Scholar
• Barrage R Finite element modelling of FRP reinforced concrete beams and comparative analysis of current strength prediction methods [Masters’ Thesis]. University of Waterloo; 2017.
   Google Scholar
• Collins MP, Mitchell D. Pre-stressed concrete structures. Toronto, Canada: Response Publications; 1997.
   Google Scholar
• Alam MS Influence of different parameters on shear strength of FRP reinforced concrete beams without web reinforcement [dissertation]. St. John’s (NL): Memorial University of Newfoundland; 2010.
   Google Scholar
• Kani GNJ. How safe are our large concrete beams? ACI J Proc. 1967;64(3):128–141.
   Google Scholar
• ACI-ASCE Committee. 445 on shear, and torsion. recent approaches to shear design of structural concrete. J Struct Eng. 1998;124(12):1375–1417.
   Web of Science ®Google Scholar
• Lubliner J, Oliver J, Oller S, et al. Plastic damage model for concrete. Int J Solids Struct. 1989;25(3):299–326.
   Web of Science ®Google Scholar
• Lee J, Fenves G. Plastic-damage model for cyclic loading of concrete structures. J Eng Mech ASCE. 1998;124(8):892–900.
   Web of Science ®Google Scholar
• Zienkiewicz OC, Taylor RL, Too JM. Reduced integration technique in general analysis of plates and shells. Int J Numer Methods Eng. 1971;3:275–290.
   Google Scholar
• Hughes TJR, Cohen M, Haroun M. Reduced and selective integration techniques in finite element analysis of plates. Nucl Eng Des. 1978;46(1):203–222.
   Web of Science ®Google Scholar
• Noor AK, Peters JM. Mixed models and reduced/selective integration displacement models for nonlinear analysis of curved beams. Int J Numer Methods Eng. 1981;17(4):615–631.
   Web of Science ®Google Scholar
• Garc´ıa-Vallejo D, Mikkola AM, Escalona JL. A new locking-free shear deformable finite element based on absolute nodal coordinates. Nonlinear Dyn. 2007;50(1–2):249–264.
   Web of Science ®Google Scholar
• Cope RJ, Rao PV, Clark LA. Nonlinear design of concrete bridge slabs using finite element procedures. In: nonlinear design of concrete structures. Cohn MZ, Edited by. Canada: University of Waterloo; 1979.
   Google Scholar
• Bažant ZP, Oh BH. Crack band theory for fracture of concrete. Mater Struct. 1983;16(3):155–177.
   Google Scholar
• Sooriyaarachchi H, Pilakoutas K, Byars E Tension stiffening behaviour of GFRP-reinforced concrete. 7th International Symposium on Fibre Reinforced Polymer Reinforcement for Reinforced Concrete Structures (FRPRCS-7); New Orleans, Louisiana, USA; 2005.
   Google Scholar
• Canadian Standard Association (CSA). Design and construction of building components with fibre reinforced polymers. CSA S806-12. Rexdale, Ontario, Canada; 2012.
   Google Scholar
• American Concrete Institute (ACI). Guide for the design and construction of structural concrete reinforced with FRP bars. Technical committee document ACI440.1R-06. Farmington Hills, Mich, USA; 2006.
   Google Scholar
• MacGregor JG, Bartlett FM. Reinforced concrete: mechanics and design. 1st ed. Canada: Prentice Hall; 2000.
   Google Scholar