This theoretical and numerical work is a contribution to the study of the behavior of the soil-pile interface under lateral and axial loading. From the elastoplastic behavioral model, a finite difference approach was made to study the influence of the vertical force Q_V with respect to lateral loading (Q_H and M). It was found that on the one hand, the lateral displacement of the pile is very important in the absence of the axial force Q_V, and on the other hand that it is less important in depth for an increase in the vertical force Q_V. Furthermore, it appeared from this study that a variation of certain geometric parameters of the pile (slenderness L/D and rigidity E_S/E_P) decreasingly influence compared to the responses of the pile (displacements and stresses), and that those are greater in depth compared to the pile model under lateral load alone. We also note that a variation in the geotechnical parameters  leads to a reduction in displacements and an increase in stresses.

soil-pile interaction, numerical method, finite difference method, mechanical characteristics, lateral load, axial load.