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Fracture mechanic modeling of fiber reinforced polymer shear-strengthened reinforced concrete beam
Affiliation:1. Department of Civil Engineering, Islamic Azad University, Sanandaj Branch, 66169, Pasdaran St., Sanandaj, Kurdistan, Iran;2. Housing Research Center, University Putra Malaysia, 43300 Serdang, Malaysia;1. Department of Construction Engineering, University of Quebec, École de Technologie Supérieure, Montreal, QC H3C 1K3, Canada;2. Department of Construction Engineering, University of Quebec, École de Technologie Supérieure, 1100 Notre-Dame St. West, Montreal, QC H3C 1K3, Canada;1. Advanced Systems Laboratory, Hyderabad 500 058, India;2. Research Centre Imarat, Hyderabad 500 069, India;3. Indian Institute of Technology Hyderabad, Kandi, Sanga Reddy 502 285, India;1. UNIC, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal;2. Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, 2829-516 Caparica, Portugal
Abstract:A numerical method is developed to model shear-strengthening of reinforced concrete beam by using fiber reinforced polymer (FRP) composites. Tensile crack is simulated by a non-linear spring element with softening behavior ahead of the crack tip to model the cohesive zone in concrete. A truss element is used, parallel to the spring element, to simulate the energy dissipation rate by the FRP. The strain energy release rate is calculated directly by using a virtual crack closure technique. It is observed that the length of the fracture process zone (FPZ) increases with the application of FRP shear-strengthening. The present model shows that the main diagonal crack is formed at the support in the control beam while it appears through the shear span in the shear-strengthened beam. Another important observation is that the load capacity increases with the number of CFRP sheets in the shear span.
Keywords:A. Polymer–matrix composites (PMCs)  B. Fracture  C. Finite element analysis (FEA)
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