Abstract:Based on the compatibility conditions of axial and radial deformations of anchor-rock interface, an equivalentmedium modelwas established by analyzing the dynamic load character and boundary conditions of a prestressed anchor cablewith a free partwithout injecting cementpaste. The axial force distribution and themathematicalexpression to describe the relation between the deformation and pretension of a prestressed anchor cable were derived by using theMindlin integral solution in column space and the Mindlin solution for axisymmetric radial dilation load. In addition, the characteristic curve of load-deformation and the distributionmodality ofaxial stresswere comparedwith field testing results.