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A Simple Realization Method for Predicting Thermal Conductivity of Periodic Composites by Progressive Homogenization

A thermal conductivity, composite material technology, applied in design optimization/simulation, electrical digital data processing, special data processing applications, etc., can solve the problems of complex implementation process, poor versatility and low efficiency of thermal conductivity

Inactive Publication Date: 2019-01-15
DALIAN UNIV OF TECH
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

[0004] According to a series of problems such as complex implementation process, low efficiency, and poor versatility in calculating the thermal conductivity of periodic structures based on the progressive homogenization theory proposed above, a simple method for predicting the thermal conductivity of periodic composite materials based on progressive homogenization based on commercial finite element software is proposed. Implementation

Method used

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  • A Simple Realization Method for Predicting Thermal Conductivity of Periodic Composites by Progressive Homogenization
  • A Simple Realization Method for Predicting Thermal Conductivity of Periodic Composites by Progressive Homogenization
  • A Simple Realization Method for Predicting Thermal Conductivity of Periodic Composites by Progressive Homogenization

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Experimental program
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Embodiment 1

[0059] Such as figure 1 with figure 2 As shown, the interior of the unit cell containing square fiber-reinforced composite material is reinforced fiber item 1, and the exterior is resin matrix 2. The calculation of the thermal conductivity of the unit cell containing square fiber-reinforced composite material has the following steps:

[0060] S1. Establish a unit cell finite element model through commercial finite element software, and set the material thermal conductivity of the unit cell finite element model;

[0061] S2. Dividing the unit cell finite element model into a finite element mesh to obtain node and element information of the unit cell finite element model;

[0062] S3. Determine the initial temperature field Λ from the node coordinate values ​​of the unit cell finite element model 0(m) for:

[0063]

[0064]

[0065] in, m={1,2},x i ,y i is the coordinate value of the i-th node, and N represents the total number of nodes of the unit cell finite elem...

Embodiment 2

[0081] Such as figure 1 with image 3 As shown, the middle of the hollow spherical structure unit cell is a metal shell 3 (Al or new material St) with a certain thickness, and the outside is a binder material 4 (resin). The calculation of the thermal conductivity of the hollow spherical structure unit cell has the following steps:

[0082] S1. Establish a unit cell finite element model through commercial finite element software, and set the material thermal conductivity of the unit cell finite element model;

[0083] S2. Dividing the unit cell finite element model into a finite element mesh to obtain node and element information of the unit cell finite element model;

[0084] S3. Determine the initial temperature field Λ from the node coordinate values ​​of the unit cell finite element model 0(m) for:

[0085]

[0086]

[0087]

[0088] in,

[0089] m={1,2,3},x i ,y i ,z i is the coordinate value of the i-th node, and N represents the total number of nodes in...

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Abstract

The invention discloses a simple implementation method for predicting the periodical composite material thermal conductivity coefficient in a gradual and homogeneous manner. A unit cell finite element model is established through commercial finite element software; the material thermal conductivity coefficient of the unit cell finite element model is set; the unit cell finite element model is subjected to finite element mesh dividing to obtain node and unit information of the unit cell finite element model; an initial temperature field is determined according to node coordinate values of the unit cell finite element model; and the periodical composite material thermal conductivity coefficient is calculated. According to the simple implementation method, the performance predication for any complex periodical structure can be realized by the unit type and any combination provided by the commercial finite element software; an integration operation is required for each unit when a right end load of a temperature gradient field control equation is solved by the original homogenization method; the original homogenization method, different from a conventional finite element format, can be realized by requiring corresponding programming, so that the original homogenization method is relatively high in threshold in use; however, the simple implementation method provided by the invention enables the homogenization method to perform direct calculation through the existing commercial finite element software, so that the difficulty in use is greatly lowered.

Description

technical field [0001] The invention relates to a new finite element formula for progressively homogenizing and predicting the thermal conductivity of periodic composite materials and a realization method based on commercial finite element software. It belongs to the field of performance characterization of composite materials. Background technique [0002] Composite materials are widely used in the engineering field because of their excellent material properties. The design and use of composite material structures require us to have a full understanding of the properties of composite materials. Thermal conductivity is one of the important aspects. For the prediction of thermal conductivity of composite materials, there are usually methods such as analytical model, representative voxel method and homogenization. In order to obtain a relatively simple analytical expression, the analytical model usually needs to make some unrealistic assumptions, which will lead to large err...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F17/50
CPCG06F30/23G06F2119/08
Inventor 张永存尚士朋
Owner DALIAN UNIV OF TECH
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