A material scale effect analysis method based on asymmetric finite element algorithm

A technology of scale effect and analysis method, which is applied in the field of mechanical analysis calculation and CAE simulation, can solve the problems of insufficient precision and low efficiency of analyzing material scale effect

Active Publication Date: 2019-01-25
NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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Problems solved by technology

However, the existing finite element algorithm cannot be effectively used to analyze the material scale effect of the rese

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  • A material scale effect analysis method based on asymmetric finite element algorithm
  • A material scale effect analysis method based on asymmetric finite element algorithm
  • A material scale effect analysis method based on asymmetric finite element algorithm

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[0073] In order to make the object, technical solution and effect of the present invention clearer and clearer, the present invention will be further described in detail below with reference to the accompanying drawings and examples. It should be pointed out that the specific implementations described here are only used to explain the present invention, not to limit the present invention.

[0074] Such as figure 1 as shown, figure 1 It is a material scale effect analysis method based on asymmetric finite element algorithm, which is mainly divided into five parts:

[0075] The first part: Simplify the constitutive model of the material based on the modified couple stress theory, and determine the Lame constant and characteristic scale parameters of the material; the specific steps are:

[0076] 1.1 In the modified couple stress theory, not only the contribution of the first-order derivative of the displacement of the object to the strain energy needs to be considered, but als...

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Abstract

The invention discloses a material scale effect analysis method based on an asymmetric finite element algorithm, belonging to the field of CAE simulation and mechanical analysis and calculation, including: 1) establishing a constitutive model of a material based on a modified couple stress theory; 2) carrying out finite element mesh division on the structure to obtain a finite element mesh model;3) using high-performance asymmetric finite element algorithm to solve numerically, and extracting the maximum displacement value and the maximum stress value; 4) after refining that finite element mesh model, repeating the operation of step 3, and judging whether the reference index can meet the convergence condition or the precision requirement. The invention solves the problems of low efficiency and insufficient precision in analyzing the scale effect of the material by the conventional finite element method. The method also has better flexibility and applicability, and can be embedded intothe existing commercial finite element software, so it can be used to solve a wider range of engineering structures.

Description

technical field [0001] The invention belongs to the fields of CAE simulation and mechanical analysis calculation, and specifically refers to a material scale effect analysis method based on an asymmetric finite element algorithm. Background technique [0002] With the continuous development of material science and production technology, more and more micro-nano-scale devices are widely used in industry. However, when the structural feature size is at the micro-nano scale, some materials may show obvious size effects: the structural stiffness will increase significantly as the size decreases (Felck NA, Muller GM, Ashby MF, HutchinsonJW.Strain gradient plasticity: theory and experiment. Acta Metall Mater. 1994; 42(2):475-487.). In this case, the classical elastic theory can no longer accurately describe the mechanical behavior of materials, so the academic community has proposed many revised theoretical models. Among them, the modified couple stress theory is considered to b...

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/23
Inventor 尚闫
Owner NANJING UNIV OF AERONAUTICS & ASTRONAUTICS
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