A Discrete Element Method for Deformable 3D Convex Polyhedron Block Based on Distance Potential Function

Abstract

The invention discloses a deformable three-dimensional convex polyhedron block discrete element method based on a distance potential function. In step 1, a research object is selected to establish a deformable discrete element system; in step 2, a time step Δt of the deformable discrete element system is determined; Step 3, calculate the total contact force acting on the contact element and the target element; Step 4, convert the total contact force acting on the contact element and the target element calculated in step 3 into the equivalent node of the load using the shape function Force vector R; Step 5, the equivalent nodal force vector R of the load calculated in Step 4, calculate the displacement, velocity, and acceleration of each grid element at the next moment t+Δt; Step 6, according to the step The displacement of the five grid elements, update the node coordinates of each grid element at the next time t+Δt. The invention makes the numerical simulation more in line with the engineering practice, can accurately capture the motion process of the discrete system, and accurately reflect the real stress and deformation state inside the discrete unit.

Description

technical field [0001] The invention relates to a deformable three-dimensional convex polyhedron block discrete element method based on a distance potential function, and belongs to the technical field of deformable discrete elements. Background technique [0002] The discrete element method is a numerical simulation method specially used to solve the problem of discontinuous media. This method can accurately capture discontinuous deformation characteristics such as block system separation, slip failure, and overturning rotation. Deformable discrete elements can be compressed, separated or slipped. At present, Professor A. MUNJIZA from the United Kingdom proposed the finite discrete element method. By dividing the research object into tetrahedral block elements of uniform size, and establishing a potential function definition based on the centroid of the element, the contact force between the elements is calculated. [0003] Professor A.MUNJIZA proposed a deformable discret...

AI Technical Summary

Problems solved by technology

But there are still some problems: the application of tetrahedral elements with uniform size, on the one hand, the model does not match the actual situation, and the calculation of the stiffness and normal contact force of the element is affected by the element form; the discrete element method based on the distance potential function solves these problems, However, the deformability of discrete elements is not considered, so it is not in line with engineering practice

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