Fourier-Bessel Series Solutions for Radial Response of Anchorage Performance of FRP Tendon

Abstract

According to the characteristic of periodic intended surface along longitudinal direction of Fiber Reinforced Polymer/Plastics (FRP) tendon, a reliable analytical method was developed for radial response of bond_type anchorage based on Fourier Bessel series solu- tions. Using the governing equations for a general axisymmetnc problem and the trigonometric functions as the orthonormal basis in the Fourier series, the modified Bessel equations were presented, and the analytic solutions were subsequently obtained for isotropic and trans- versely isotropic media. Finally combining with the boundary conditions of bond-type anchorage for FRP tendons, the calculation formulas of stresses and displacements were obtained for hollow cylinder medium and FRP tendon whose walls are subjected to a concentrated dis- tribution of radial traction.The agreement between the analytical and numerical solutions suggests that the analytical solution is correct. In other words, the reliability of the presented approaches is proved. The analytical results show that the maximum axial displacement is found at the position of radial stress center in bond interface for hollow cylinder medium and CFRP tendon.The investigations show that ( 1) the ratio of the radial displacements of hollow cylinder and bond medium is 1/8; (2) the radial displacement is zero in center axis of solid cylinder CFRP tendon and increases with radial radius of solid cylinder CFRP tendon increasing.