Method for obtaining material macroscopic three-dimensional equivalent attribute

A three-dimensional, macroscopic technology, applied in the field of effective properties, which can solve problems such as complex derivation, time-consuming numerical calculation methods, and unfavorable applications.

Active Publication Date: 2017-12-08
HUAZHONG UNIV OF SCI & TECH
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Problems solved by technology

The mathematical theory of this type of model is very rigorous, but the derivation is very complicated. Secondly, the nume...

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  • Method for obtaining material macroscopic three-dimensional equivalent attribute
  • Method for obtaining material macroscopic three-dimensional equivalent attribute
  • Method for obtaining material macroscopic three-dimensional equivalent attribute

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Embodiment Construction

[0057] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention. In addition, the technical features involved in the various embodiments of the present invention described below can be combined with each other as long as they do not constitute a conflict with each other.

[0058] The method for obtaining the macroscopic three-dimensional equivalent properties of materials provided by the present invention, its process is as follows figure 1 shown, including the following steps:

[0059] (1) Establish a dual-scale coordinate system; use the global coordinate system (x) to describe the macroscopic material, use the local coordinate system (y) to describe the micros...

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Abstract

The invention belongs to the technical field of material mechanics, and discloses a method for obtaining material macroscopic three-dimensional equivalent attribute. The method for obtaining material macroscopic three-dimensional equivalent attribute comprises the following steps of (1) establishing a double-scale coordinate system used for describing the material and the microstructure, and constructing a material macroscopic equivalent attribute model based on a progressive extension theory; (2) constructing a periodic boundary model of a three dimensional microstructure; (3) establishing a periodic constraint relation of the three dimensional microstructure through finite element analysis; (4) establishing a linear elasticity equilibrium equation of the three dimensional microstructure based on the periodic constraint relation, and obtaining a displacement field of the microstructure according to the linear elasticity equilibrium equation; and (5) solving unit strain energy based on finite element analysis and the displacement field of the microstructure, and obtaining the material macroscopic three-dimensional equivalent attribute. According to the invention, unit interactive energy is introduced in finite element analysis, a equivalence relation between the total strain energy of the microstructure under the unit test strain and the material attribute is established, and the material attribute is efficiently obtained.

Description

technical field [0001] The invention belongs to the technical field of material mechanics, and more specifically relates to a method for obtaining macroscopic three-dimensional equivalent properties of materials. Background technique [0002] The research on the prediction of equivalent performance of materials has a long history. Initially, it only involved the performance of each component of the material and its volume ratio, such as the most basic voiget-Reuss upper and lower limits of equivalent performance of materials, and the more accurate two-dimensional Hill-Hashin upper and lower bounds for isotropic materials and Hashin-shtrikman upper and lower bounds for three-dimensional isotropic materials. Later, it developed into a more complicated prediction of the upper and lower limits of the equivalent performance of anisotropic materials. For example, Torquato introduced a point correction function, which made the upper and lower limits of the equivalent performance pr...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 高亮高杰肖蜜李好张严
Owner HUAZHONG UNIV OF SCI & TECH
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