The work is devoted to a coupling method for the finite element method (FEM) and the distance potential discrete element method. In this work, a well-defined distance potential function is developed. Meanwhile, a holonomic and precise algorithm for contact interaction is established, accounting for the influence of the tangential contact force. In addition, the measurement of deformation behaviors of each discrete element is handled by the FEM, where the coupling model and the conversion method of the equivalent nodal force accounting for the influence of contact forces are proposed to generate the corresponding equations of motion. Finally, the velocity verlet algorithm is applied enabling the significant simplification for the calculation of the equations of motion. The proposed approach provides an accurate contact interaction avoiding the influence of the element shape and reflect the movement procedure of multiple deformable bodies precisely. This viewpoint is proved by the classical benchmark cases.

中文翻译：

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基于距离势函数的有限离散元法

这项工作致力于有限元法 (FEM) 和距离势离散元法的耦合方法。在这项工作中，开发了一个明确定义的距离势函数。同时，建立了完整且精确的接触相互作用算法，考虑了切向接触力的影响。此外，每个离散单元的变形行为的测量由有限元处理，其中耦合模型和等效节点力的转换方法考虑了接触力的影响，以生成相应的运动方程。最后，应用velocity verlet 算法可以显着简化运动方程的计算。所提出的方法提供了准确的接触相互作用，避免了单元形状的影响，并精确地反映了多个可变形体的运动过程。经典基准案例证明了这一观点。