A Discrete Element Method for Deformable Two-dimensional Arbitrarily Rounded Convex Polygon

Abstract

The invention discloses a deformable two-dimensional arbitrary rounding method for convex polygon discrete elements, which roundens the block discrete element and combines the discrete element methodwith the geometrical non-linear finite element method to obtain the contact force acting on the block element according to the calculation method of the contact force of the roundness convex polygon discrete element method. The contact force is transformed into the equivalent external load of the element joint by using the shape function. The deformable finite element equations are established andthe internal stress and deformation of the discrete element are obtained by solving the equations. The invention solves the problem that the existing rounded convex polygon discrete element method isnot deformable, and improves the theoretical system. Combining the rounded polygon discrete element with the finite element method, the numerical simulation is more practical, and the reliability andaccuracy of the discrete element method are improved. It can accurately capture the movement process of the discrete system and accurately reflect the real stress and deformation state of the discrete element.

Description

technical field [0001] The invention belongs to the technical field of deformable discrete elements, and in particular relates to a deformable two-dimensional arbitrary circular convex polygon discrete element method. Background technique [0002] DEM can be divided into two categories: granular DEM and bulk DEM. Block DEM can be further divided into two categories: embedding depth-based models and embedding volume-based models. Traditional discrete elements are based on embedding depth, that is, springs are arranged at the contact points, and the contact force is obtained by defining the spring stiffness. The advantage is that the calculation speed is fast, and the disadvantage is that the contact force is a concentrated force, and different contact types need to be distinguished, such as point, point edge, point surface, edge edge, edge surface, surface surface, etc. It is not easy to determine the direction of the contact force at sharp corners, and the robustness of th...

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Problems solved by technology

[0004] In order to solve the technical problems raised by the above-mentioned background technology, the present invention aims to provide a deformable two-dimensional arbitrary rounded convex polygon discrete element method, which solves the problem that the rounded convex polygon discrete element in the prior art cannot be deformed, and makes the numerical simulation easier. Realistic

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