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Capturing the interaction between objects that have an extreme difference inYoung s modulus or geometrical scale is a highly challenging topic fornumerical simulation. One of the fundamental questions is how to build anaccurate multi-scale method with optimal computational efficiency. In thiswork, we develop a material-point-spheropolygon discrete element method(MPM-SDEM). Our approach fully couples the material point method (MPM) and thespheropolygon discrete element method (SDEM) through the exchange of contactforce information. It combines the advantage of MPM for accurately simulatingelastoplastic continuum materials and the high efficiency of DEM forcalculating the Newtonian dynamics of discrete near-rigid objects. The MPM-SDEMframework is demonstrated with an explicit time integration scheme. Itsaccuracy and efficiency are further analysed against the analytical andexperimental data. Results demonstrate this method could accurately capture thecontact force and momentum exchange between materials while maintainingfavourable computational stability and efficiency. Our framework exhibits greatpotential in the analysis of multi-scale, multi-physics phenomena

A hybrid material-point spheropolygon-element method for solid and granular material interaction