A generic energy‐conserving discrete element modeling strategy for concave particles represented by surface triangular meshes

Abstract

A generic energy‐conserving linear normal contact model for concave particles in the discrete element method (DEM) is presented in this article. It is derived based on a recently enhanced general energy‐conserving contact theory for arbitrarily shaped particles. A set of more effective evaluation schemes required in the model are also given, which shows that only the intersection boundary between two contact shapes, instead of their contact region or surfaces, is required to be explicitly obtained, thereby substantially improving both efficiency and applicability of the proposed contact model over the previous version. A surface triangular mesh is used to represent any 3D concave particle. The computational issues associated with the contact of two surface triangulated 3D shapes, including the contact detection, the determination of intersection boundary segments, the computation of contact features and parallelization, critical time step, and friction and damping treatment for multiple contacts are described in detail. Two sets of numerical examples involving various concave 3D shapes with a large number of surface triangles are presented to demonstrate either the superb energy‐conserving property of the proposed model model, or its effectiveness, robustness, and universal nature for wider and more complex problems.

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“…e data can be controlled by using discrete dynamic system, and then the data of single type continuous variable can be studied. rough the use of mathematical form and mathematical theory, the modeling, analysis, optimization, and other technologies are systematically improved [4]. e modeling technology of discrete dynamic system under linear constant system has been mature.…”

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“…Advanced shape representations, e.g., using the finite element basis functions, and energy-conserving contact laws, as reported in Refs. [21][22][23] might further improve the accuracy of interaction force computations between particles and convex/concave surfaces.…”

The Minkowski overlap and the energy‐conserving contact model for discrete element modeling of convex nonspherical particles

“…It may also significantly affect the computational efficiency involved. More fundamental issues associated with the consistent definition of contact features are covered in References 9‐11, where a theoretical framework is provided to decide which features are needed and how they should be defined in consistent with the contact force models used.…”

“…The work of Reference 9 is the first attempt to establish a generic discrete element contact theory for any shaped particles solely based on the contact energy conservation principle, from which different energy‐conserving normal contact models can be derived when a contact energy function is defined in terms of contact features. A contact model derived in such a manner will provide robust and numerically stable computational procedures for any complex contact scenario, as demonstrated by using the contact volume based energy‐conserving contact model presented in References 10‐12.…”