Without bonding on the upper and bottom surfaces, the U-FREI bearing is then subjected to a cyclic horizontal displacement with 0.5 Hz of frequency and a constant vertical pressure 1.17 MPa. The result of FE simulation is presented in Fig. \ref{661589} and \ref{719517}a, showing a remarkable softening of the horizontal stiffness due to rolling-over deformation. In Fig. \ref{661589}, a free-stress zone appears as the result of the rolling-over. A softening is also captured on the compressive behavior of the U-FREI, see Fig. \ref{719517}b, with increasing lateral displacement. In Fig. \ref{719517}b, only one cycle (up to 60mm) is presented to simplify the analysis of the vertical behavior.