Three-dimensional random convex polygon block discrete element method based on distance potential function

A discrete element method, convex polygon technology, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve the problem of not considering tangential contact force, single form, element stiffness and contact force effects, etc.

Active Publication Date: 2017-03-22
HOHAI UNIV
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Problems solved by technology

[0006] The technical problem to be solved by the present invention is to provide a three-dimensional arbitrary convex polygon block discrete element method based on the distance potential function, solve the problem of contact force calculation of three-dimensional arbitrary convex polyhedral block discrete elements, and improve the deficiency

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  • Three-dimensional random convex polygon block discrete element method based on distance potential function
  • Three-dimensional random convex polygon block discrete element method based on distance potential function
  • Three-dimensional random convex polygon block discrete element method based on distance potential function

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Embodiment

[0216] Due to the existence of weak interlayers inside a certain rock slope, under the influence of external conditions such as earthquakes and rainfall, it may cause geological disasters such as landslides. Adopt the method provided by the invention, set up the discrete unit model for the rock slope, such as Image 6 As shown, a total of 2653 discrete units are divided.

[0217] Image 6 is the state when the rocky slope is stable, Figure 7 to Figure 9 It is the movement process of landslide along the sliding surface under the influence of external conditions. Based on the three-dimensional block discrete element method of the distance potential function provided by the present invention to simulate the rock slope landslide process, it can clearly describe the failure process of the rock slope along the sliding surface under the influence of unfavorable loads, and can analyze the rock slope very well. Whether the slope is safe under load, the failure process of the landsl...

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Abstract

The invention discloses a three-dimensional random convex polygon block discrete element method based on a distance potential function. A research object is discretized into a block element system; carrying out contact detection on all block elements according to a nonuniform block discrete element contact detection method provided by the method; defining the distance potential function and carrying out normal contact force calculation on mutually contacting block elements, thereby obtaining normal contact force acting on each target block element and a torque caused by the normal contact force; on the basis of a tangential contact force direction vector calculation method provided by the method, carrying out calculation to obtain tangential contact force of each block element and the torque caused by the tangential contact force according to increment of tangential relative displacement; solving acceleration and angular acceleration of each block element through a rigid motion equation; and calculating velocity and displacement of each block element through a velocity verlet algorithm and describing deformation and motion state of a whole medium according to motion and relative position of each block element.

Description

technical field [0001] The invention relates to a block discrete element method, in particular to a three-dimensional arbitrary convex polygon block discrete element method based on a distance potential function, and belongs to the technical field of block discrete elements. Background technique [0002] The idea of ​​discrete element method originated from earlier molecular dynamics. In 1971, Professor Cundall P.A. of the United States first proposed a numerical analysis method for simulating the mechanical behavior of discontinuous media. This method divides the research object into a large number of discrete blocks (particles), and each block has a corresponding degree of freedom. Blocks interact with each other through contact force and moment, and apply appropriate force or displacement boundary conditions at the same time. Under the given initial conditions and external force, based on Newton's second law of motion and using the dynamic relaxation method showing time-...

Claims

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Application Information

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IPC IPC(8): G06F19/00
CPCG16Z99/00
Inventor 赵兰浩刘勋楠毛佳李同春
Owner HOHAI UNIV
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