Joints exhibit an irregular and discontinuous behavior inside the rock mass. The spatial distribution complexity of these discontinuities causes the toppling failure occurs more often by a combination of two types of toppling phenomena: toppling of rock blocks and flexural toppling. Thus, the block-flexural toppling can be considered the most common when a toppling process is being developed in rock slopes. Analytical and physical models approach, were presented in order to study each process individually, but the literature reports few works that may help to understand the influence of the two processes together. The present work aims to represents the mechanism of block-flexural toppling through the discrete elements method (DEM) using the PFC (Particle Flow Code) software. In particular, the objective is to assess the potential of the method for studies of this type, using a new model of contact between particles and the elastic properties calibration of the synthetic material. In order to do that, the work shows the methodology details and validation examples, including comparisons with analytical and semi-analytical solutions that are available in the literature.