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High volume fraction RVE (Representative Volume Element) model generation method used for VCFEM (Voronoi Cell Finite Element Method) analysis

A high volume fraction, model generation technology, applied in electrical digital data processing, special data processing applications, instruments, etc., can solve the problem of unable to generate volume fraction Voronoi mesh model, particle boundary segmentation, unable to be filled with particles, etc.

Active Publication Date: 2017-05-10
NAT UNIV OF DEFENSE TECH
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

Considering that the Voronoi grid generated according to the randomly generated particle center is often very irregular, because the radius of the commonly used spherical particle cannot exceed the distance between the center point and the boundary (otherwise the particle will be divided by the boundary, and the hybrid finite element method cannot be used to generate analysis unit), and this limitation of the radius is likely to cause the part of a Voronoi polygon unit that is far away from the center point to be unable to be filled with particles, so that a Voronoi grid model with a high volume fraction cannot be produced

Method used

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  • High volume fraction RVE (Representative Volume Element) model generation method used for VCFEM (Voronoi Cell Finite Element Method) analysis
  • High volume fraction RVE (Representative Volume Element) model generation method used for VCFEM (Voronoi Cell Finite Element Method) analysis
  • High volume fraction RVE (Representative Volume Element) model generation method used for VCFEM (Voronoi Cell Finite Element Method) analysis

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Embodiment 1

[0076] This embodiment is used to generate a high volume fraction two-dimensional RVE model.

[0077] Such as figure 1 As shown, the steps of the high volume fraction RVE model generation method for VCFEM analysis in this embodiment include:

[0078] 1) Input the parameters of the particle-reinforced composite material, including the particle size r i and the volume fraction V fi , where 1≤i≤k, k is the number of gradations; in this example, there are k levels of gradation in the particle reinforced composite material, and the particle sizes of each level of gradation from small to large are r 1 ,r 2 ,...r k , and the corresponding volume fractions are V f1 ,V f2 ,...V fk .

[0079] 2) The particle size r i Equivalent to the minimum gradation particle size r 1 , according to the minimum required minimum number of graded particles (n 1 ) min and the equivalent coefficient m i Calculate the minimum number of particles required for each level of gradation (n i ) mi...

Embodiment 2

[0108] Different from the first embodiment, this embodiment is used to generate a three-dimensional RVE model with a high volume fraction.

[0109] The steps of the high volume fraction RVE model generation method for VCFEM analysis in this embodiment include:

[0110] 1) Input the parameters of the particle-reinforced composite material, including the particle size r i and the volume fraction V fi , where 1≤i≤k, k is the series of gradation;

[0111] 2) The particle size r i Equivalent to the minimum gradation particle size r 1 , according to the minimum required minimum number of graded particles (n 1 ) min and the equivalent coefficient m i Calculate the minimum number of particles required for each level of gradation (n i ) min , accumulating the minimum number of particles required for each level of gradation (n i ) min Get the total number of particles, according to the total number of particles and the minimum gradation particle size r 1 Estimated minimum RVE...

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Abstract

The invention discloses a high volume fraction RVE (Representative Volume Element) model generation method used for VCFEM (Voronoi Cell Finite Element Method) analysis. The method comprises the following steps of: inputting a parameter of a particle reinforcement composite material, estimating the dimension of a RVE model, determining an amount of minimum grading inclusion particles, selecting a corresponding loading scheme of n particles from existing minimum equal circle / sphere loading optimal schemes to obtain a corresponding circle / sphere center position and radius and generate the RVE model which conforms to a periodic boundary condition, transforming circular / spherical particles into elliptical / spherical particles according to whether the particles of the RVE model are circular / spherical particles or not, transforming the particles into a polygon / polyhedron, obtaining an optimal dimension of the RVE model through multi-time calculation, and finally, outputting the parameters of the RVE model. By use of the method, according to the volume fraction and the topological parameter of the size grading of the particle reinforcement composite material, a periodic numerical analysis model used for VCFEM analysis can be efficiently and simply generated, and the method can be used for the trans-scale analysis of composite materials with a high packing ratio, multiple grading and different particle shapes.

Description

technical field [0001] The invention relates to the technical field of VCFEM finite element analysis of materials, in particular to a high volume fraction RVE (Representative Volume Element, equivalent volume element) model generation method for VCFEM (VoronoiCell Finite Element Method, Voronoi unit finite element method) analysis , according to the volume fraction of particle-reinforced composites and the topological parameters of particle size distribution, a periodic numerical analysis model suitable for VCFEM analysis can be generated efficiently and concisely. Background technique [0002] Starting from the mesoscopic scale, establishing an RVE model that reflects the real structure of particle reinforced composites, and combining finite element and homogenization methods to predict the equivalent mechanical properties of materials is a common method for studying the mechanical parameters of particle reinforced composites. VCFEM is a hybrid stress finite element method ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 申柳雷申志彬李海阳姜人伟李晶钰马浩
Owner NAT UNIV OF DEFENSE TECH
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