Measurement of elastic properties of microstructured materials based on multi-scale finite element method

An elastic performance, multi-scale technology, applied in the field of additive manufacturing, can solve the problem of mismatching between unit cells and unit cells, and achieve the effect of reducing errors, improving calculation accuracy, and ensuring calculation efficiency

Active Publication Date: 2019-01-18
SHANGHAI JIAO TONG UNIV
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AI Technical Summary

Problems solved by technology

By considering the structural characteristics of the unit cell and the adjacent unit cells and adding coarse mesh nodes, the connection of the units is considered during the calculation process, thus solving the calculation problem of the mismatch between the unit cell and the connection between the unit cells

Method used

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  • Measurement of elastic properties of microstructured materials based on multi-scale finite element method
  • Measurement of elastic properties of microstructured materials based on multi-scale finite element method
  • Measurement of elastic properties of microstructured materials based on multi-scale finite element method

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Embodiment Construction

[0031] Such as figure 1 As shown, this embodiment takes the bending deformation of two planar rectangular metamaterial spacing distribution members as an example to illustrate, specifically including the following steps:

[0032] Step 1. Divide a coarse grid in the design domain according to the selected unit cell shape and size. The specific steps include:

[0033] 1.1) Determine the structural form and size of the metamaterial unit cell selected in this embodiment. For the two-dimensional problem, this embodiment selects two types of unit cells such as figure 2 As shown in (a), the side lengths of the squares corresponding to the two unit cells are both 1, the unit cell 1 has a positive Poisson’s ratio as a whole, and the unit cell 2 has a negative Poisson’s ratio.

[0034] 1.2) Select a rectangular area with a design domain of 5×2, and divide the design domain into a coarse grid according to the selected unit cells. The division results are as follows image 3 As shown i...

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Abstract

A method for measuring elastic properties of microstructured materials based on multi-scale finite element method features that a detection model is constructed according to the structure and size ofmetamaterial unit cell, the detection model is coarse mesh divided, and virtual nodes are added to the sudden change position of the divided mesh. And then submesh on the obtained cell, the displacement of subgrid nodes in macro-coarse mesh element and the multi-scale basis function relationship between all nodes are established. The stiffness matrix of coarse mesh element is derived from the multi-scale basis function and assembled to obtain the overall stiffness matrix, thus the macro-displacement information, that is, the elastic properties of micro-structure material, is obtained. The invention can realize the effect of remarkably reducing the error of the multi-scale finite element method applied to the micro-structure material, and solve the calculation problem of the connection mismatch between the cells.

Description

technical field [0001] The invention relates to a technique in the field of additive manufacturing, in particular to a method for measuring the elastic properties of microstructure materials based on a multi-scale finite element method. Background technique [0002] Additive manufacturing (AM) is a technology that uses the method of material accumulation to manufacture solid parts, and has obtained many achievements and applications in the field of metal and non-metal material manufacturing. Due to the important feature that additive manufacturing can produce both complex shapes and fine structures, the optimization design for additive manufacturing can be divided into two fields: macro shape optimization for macroscopic complex structure shapes and microstructure optimization for fine structures. [0003] In the field of microstructure material optimization, the traditional multi-scale finite element method is not developed for the microstructure material of additive manufa...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 朱平张涵寓刘钊
Owner SHANGHAI JIAO TONG UNIV
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