Fatigue Crack Propagation in BFRP Reinforced RC Beams Based on Fracture Mechanics and Golden Ratio.

The influence of fiber orientation on crack propagation has been studied with BFRP reinforced RC beams. Fracture mechanics parameters were calculated by FEM based on anisotropic elasticity, and the golden ratio which has always been regarded as a model of beauty, for its geometric shape and properties and wide application of painting, sculpture, music, art and architectural . The proportion of the shape is quite beautiful, and BFEP developed rapidly in China with a large number of steel reinforcements in concrete bridges. In this paper, it is first introduced to evaluate the crack distribution pattern of RC beams strengthened with BFRP in the golden ratio. A simulation based on a single reinforcement tension model which can predict the crack width and spacing, combined with an experimental and numerical scale model of reinforcement will prove the accuracy of the parameters. The results show that the golden ratio can analyze the cracks of RC beams strengthened with BFRP, and the cracking model has a physical significance. The results also reveal the existence of a size effect in RC beams, including crack propagation under mixed loading. All the data tend to merge a single relationship when correlated to total energy-release-rate range divided by Young's modulus. [ABSTRACT FROM AUTHOR]