The Non-Smooth Contact Dynamics method, developed by Michel Jean, is a computational approach for modeling contact between rigid or deformable bodies, incorporating non-smooth dynamics and Coulomb friction. The method uses the dynamical equation, unilateral contact conditions, and Coulomb's law to simulate interactions between bodies, particularly in scenarios involving large collections of bodies. It employs fully implicit algorithms to handle complex contact problems, including frictional contact and deformable body interactions. The method is particularly effective for granular materials, deep drawing, and stone block structures. Key features include the Signorini condition for unilateral contact, which ensures non-penetration, and Coulomb's law for dry friction, which relates sliding velocity to frictional forces. The method uses a discrete formulation of the dynamical equation, with time discretization and numerical schemes to solve for velocities and impulses. The method is robust for handling large deformations and complex contact scenarios, and has been applied to various engineering and physical problems. The method's effectiveness is supported by numerical simulations and theoretical analysis, demonstrating its ability to accurately model dynamic contact problems with high precision.The Non-Smooth Contact Dynamics method, developed by Michel Jean, is a computational approach for modeling contact between rigid or deformable bodies, incorporating non-smooth dynamics and Coulomb friction. The method uses the dynamical equation, unilateral contact conditions, and Coulomb's law to simulate interactions between bodies, particularly in scenarios involving large collections of bodies. It employs fully implicit algorithms to handle complex contact problems, including frictional contact and deformable body interactions. The method is particularly effective for granular materials, deep drawing, and stone block structures. Key features include the Signorini condition for unilateral contact, which ensures non-penetration, and Coulomb's law for dry friction, which relates sliding velocity to frictional forces. The method uses a discrete formulation of the dynamical equation, with time discretization and numerical schemes to solve for velocities and impulses. The method is robust for handling large deformations and complex contact scenarios, and has been applied to various engineering and physical problems. The method's effectiveness is supported by numerical simulations and theoretical analysis, demonstrating its ability to accurately model dynamic contact problems with high precision.