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Contact between rigid convex NURBS particles based on computer graphics concepts
Ist Teil von
Computer methods in applied mechanics and engineering, 2021-12, Vol.386, p.114097, Article 114097
Ort / Verlag
Amsterdam: Elsevier B.V
Erscheinungsjahr
2021
Link zum Volltext
Quelle
Alma/SFX Local Collection
Beschreibungen/Notizen
In the discrete element method (DEM), the geometric description of each particle is important for the overall system behavior. However, increasing complexity of particles also augments the cost for contact detection and its forthcoming evaluation, increasing the computational cost of the numerical simulation. In the context of master-to-master contact, the present work proposes a new formulation for solving the local contact problem between convex particles whose boundary is defined by non-uniform rational B-splines (NURBS). The proposed formulation is based on concepts employed in computer graphics: Minkowski sum, configuration space obstacle (CSO) and support mapping. With that, contact can be addressed through an optimization scheme. An objective function is based on a constrained distance between the particles. In case of contact, the maximum penetration between particles is related to the minimum of the objective function. Different examples underline the robustness of the formulation, which can handle contact between convex particles with general shapes.
•A new formulation for the local contact between rigid convex particles is developed.•The formulation is based on computer graphics concepts.•The geometry of particles is described by non-uniform rational B-splines (NURBS).•The new formulation is solved using an optimization scheme.•Different examples show the accuracy and robustness of the method.