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A Stochastic Thermal Homogenization Analysis Method for Two-Phase Composite Materials

A composite material and analysis method technology, applied in the field of stochastic thermal homogenization analysis of two-phase composite materials, can solve the problems of incomplete and objective calculation values

Active Publication Date: 2017-12-22
XIDIAN UNIV
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Problems solved by technology

Due to these shortcomings, the calculated value of the effective response of composite materials obtained by the traditional homogenization analysis method is not comprehensive and objective.

Method used

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  • A Stochastic Thermal Homogenization Analysis Method for Two-Phase Composite Materials
  • A Stochastic Thermal Homogenization Analysis Method for Two-Phase Composite Materials
  • A Stochastic Thermal Homogenization Analysis Method for Two-Phase Composite Materials

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Embodiment Construction

[0077] The specific implementation of the present invention will be further described below in conjunction with the accompanying drawings and examples.

[0078] Such as figure 1 As shown, there are 5 main processes in this embodiment:

[0079] 1 Homogenization analysis

[0080] Assuming a homogeneous isotropic matrix (M 1 ) and particles (M 2 ) two-phase composite material M composed of materials to establish a corresponding mesoscopic homogenization model, such as figure 1 As shown, its reference shape is R 0 , the thermal constitutive equation is

[0081] q=-K·▽θ (1)

[0082] Among them, q represents the heat flux, K represents the thermal conductivity tensor, θ represents the temperature change, and ▽θ represents the temperature gradient. A thermal boundary value problem for this heterogeneous material M is: Solve the temperature function θ(X,t) so that the following equation in R 0 established on

[0083]

[0084] Among them, in The ...

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Abstract

The invention discloses a random thermal homogenizing analysis method of a two-phase composite material. The method comprises the following steps: (1) establishing a corresponding microscopic homogenization model of a two-phase composite material composed of a matrix and particles, constructing constitutive equations, and calculating the thermal boundary values of the heterogeneous material; (2) determining and analyzing to obtain one RVE from the two-phase composite material, and determining the effective constitutive relationships among the effective heat conduction coefficient, the volumetric average temperature gradient and the volumetric average heat flux, wherein the volumetric average temperature gradient and the volumetric average heat flux are obtained from RVE; (3) applying boundary conditions on RVE, and at the same time carrying out finite element analysis and calculation to obtain the value of effective heat conduction coefficient of the RVE numerical model; (4) establishing a random homogenizing model to obtain the macroscopic effective quantity of the composite material. In the provided method, a finite element method and Matlab software are used to solve the problem of complicated RVE numerical modeling, the influences of parameter randomness of components of the composite material under three boundary conditions on the macroscopic thermal physical properties are taken into account comprehensively, and thus the provided method has an application value, a certain academic value, and theoretical significance.

Description

technical field [0001] The invention relates to the technical field of computational mechanics of composite materials, in particular to a stochastic thermal homogenization analysis method of two-phase composite materials. Background technique [0002] Composite materials refer to new materials containing two or more components. According to different engineering needs, people can easily select different component materials and adopt the most suitable mesostructure to optimize the performance of composite materials, so that they have properties that cannot be possessed by any single material. Composite materials can be regarded as materials at both the mesoscopic and macroscopic levels. With the help of electronic scanning electron microscope and other instruments, people can clearly observe the mesoscopic structure of composite materials. Macroscopically homogeneous composite materials, when the description scale is small to a certain extent, are heterogeneous at the mesos...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G01N25/20
Inventor 马娟王南王芳林杨翼蒙
Owner XIDIAN UNIV
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