Thiessen polygon subdivision three-dimensional finite element model modeling method

A Thiessen polygon and model modeling technology, which is applied in the field of material science crystallography, and can solve problems such as the large difference between the shape and size of the element, a large amount of computing resources, and large error in the solution of tetrahedral elements.

Pending Publication Date: 2020-11-03
XI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY
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Problems solved by technology

Although the geometric features at the grain boundary can be preserved in this way, due to the irregularity of the Thiessen polygon, only tetrahedral units can be used, and the shape and size of the unit vary greatly with the shape of the grain, and in some special The geometry produces rather poor quality elements, resulting in singularities
It will lead to the need for a large amount of computing resources, and the solution error of the tetrahedron element is too large. The accumulation of a large amount of errors caused by maintaining the geometric characteristics of the interface makes the error of the solution result too large, and the gain outweighs the gain

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  • Thiessen polygon subdivision three-dimensional finite element model modeling method
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Embodiment Construction

[0034] The present invention will be further described below in conjunction with specific embodiments and accompanying drawings.

[0035] The finite element model modeling method applicable to the amplitude modulation decomposition structure of nanoporous materials of the present invention, the flow process of the method is as follows figure 1 As shown, the specific implementation steps are as follows:

[0036] Step 1: Build a hexahedral finite element model:

[0037] Use the initial model model-1 to create a three-dimensional deformable solid unit with a size of 60×60×60 and a part named part-1.

[0038] Step 2: Mesh the finite element model:

[0039] is the grid division unit, and the approximate global size is 1. The part has 60 x 60 x 60 = 216000 cells.

[0040] Step 3: Randomly generate Thiessen polygon seeds:

[0041] Use the Abaqus command line to import the random module to generate 20 random three-dimensional coordinate points as Thiessen polygon seeds for 20 gra...

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Abstract

The invention discloses a three-dimensional finite element model modeling method for Thiessen polygon subdivision. The method comprises the following steps: (1) establishing a hexahedral finite element model; (2) meshing the finite element model; (3) randomly generating Thiessen polygon seeds; (4) dividing the finite element model into a plurality of unit sets according to vertical bisectors of two adjacent Thiessen polygonal seeds; (5) regarding one set as a grain, and giving grain attributes such as grain orientation. The method is used for simulating the real microstructure of the polycrystalline material and randomly generating the Thiessen polygon seeds, can effectively avoid contingency, improves the error-tolerant rate, is beneficial to batch processing, enables the model to be closer to reality, and is higher in reliability when being used for mechanical calculation.

Description

technical field [0001] The invention relates to the field of material science crystallography, in particular to a three-dimensional finite element model modeling method of Thiessen polygon division. Background technique [0002] A Thiessen polygon is a set of continuous polygons composed of perpendicular bisectors connecting line segments of two adjacent points. Its characteristic is that the distance from any point in the Thiessen polygon to the control points that make up the polygon is smaller than the distance to the control points of other polygons. [0003] The grains of metallic materials or polycrystalline materials actually vary in size and shape. The traditional finite element model cannot truly describe the microstructure of the material, and cannot reflect the uneven deformation inside the crystal. However, the use of Thiessen polygons to divide the three-dimensional finite element model and assign the properties of each grain to each grain can better simulate ...

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Application Information

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IPC IPC(8): G06F30/23
CPCG06F30/23
Inventor姚尧黄琦
OwnerXI'AN UNIVERSITY OF ARCHITECTURE AND TECHNOLOGY