A Method for Analyzing Interdiffusion Coefficient of Multicomponent Melts

A technology of interdiffusion coefficient and analysis method, applied in the field of global optimization algorithm, can solve problems such as poor versatility, error, and low data quality and accuracy

Active Publication Date: 2017-11-28
HEFEI UNIV OF TECH
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AI Technical Summary

Problems solved by technology

As far as the "diffusion path method" is concerned, in order to determine the interdiffusion coefficient of a certain component point, at least two interdiffusion experiments need to be carried out, so the workload is large; in addition, for systems with four components and above, more than three diffusion lines are required. The paths intersect at one point, and it is not feasible experimentally. Therefore, this method is only applicable to the three-component system, and cannot be extended to the interdiffusion system of four components and above, and the versatility is poor.
For the "square root diffusion coefficient method", although it can be extended to multi-component systems, it is necessary to determine the gradient and integral of the experimental concentration curve. Undoubtedly, the scattering of experimental points and the selection of the fitted concentration curve will give the above gradient, The determination of the integral value brings errors and ultimately affects the accuracy of the obtained interdiffusion coefficient
[0005] The lack of existing diffusion coefficient data and the low accuracy of data quality severely limit the development of the theory of alloy melt structure dynamics and the research, design and application of metal materials.

Method used

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  • A Method for Analyzing Interdiffusion Coefficient of Multicomponent Melts
  • A Method for Analyzing Interdiffusion Coefficient of Multicomponent Melts
  • A Method for Analyzing Interdiffusion Coefficient of Multicomponent Melts

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example 1

[0054] Example 1: Through formula (2), we can pre-select a set of optimization parameters a and the corresponding isothermal diffusion time t to obtain the corresponding diffusion component spectrum. Then, the algorithm of the present invention is used to analyze these preset component spectra to obtain the corresponding optimal solution, and the reliability of the algorithm is judged by comparing the optimal solution with the preset value.

[0055] Table 1 gives our preset optimization parameter a, figure 1 The discrete points in represent the diffusion component spectrum generated by these preset optimization parameters, and the composition of the selected diffusion couple is: A 75 B 8 C 17 -A 65 B 12 C 23 , the corresponding mean composition is A 70 B 10 C 20 , isothermal diffusion time t = 1600s, the number of selected experimental points N = 50.

[0056] Utilize the present invention to carry out the step of solving example 1 and comprise:

[0057] Step 1. Use t...

example 2

[0103] Example 2: In order to be closer to the real diffusion process, we added a random error in the range of ±1 (at.%) to the diffusion component spectrum generated by the preset optimization parameters, and the resulting diffusion component spectrum Such as figure 2 The discrete points in are shown. According to the obtained component spectrum, the objective function can also be constructed according to formula (1).

[0104] The calculation steps of Example 2 are exactly the same as those of Example 1, the difference is only in the following two points:

[0105] (1), according to figure 2 For the diffusion concentration data shown, the value ranges of the 9 genes in this example are: [10.0±5.0,20.0±5.0,0.0±100.0,0.0±100.0,0.0±100.0,0.0±100.0,10 (0±2.0) ,10 (0±2.0) ,25.0±5.0,];

[0106] (2), the value of the error control parameter η of L-M algorithm is taken as 10 in this example -4 , ie η=10 -4 ;

[0107] The global optimal solution obtained by this algorithm is ...

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Abstract

The invention discloses an analysis method for obtaining the interdiffusion coefficient of multi-element alloy melt, which is characterized by: 1. Obtaining the composition spectrum of isothermal time by interdiffusion experiment; 2. Establishing the objective function; 3. Using simulated annealing algorithm, genetic algorithm and The L‑M algorithm obtains the optimal solution of the objective function. The invention can effectively, reliably and quickly obtain the interdiffusion coefficient describing the interdiffusion process of the multi-component alloy melt through a single interdiffusion experiment of three-component and above diffusion couples, thereby obtaining a large amount of diffusion of the alloy melt Coefficient, and improve the accuracy of the diffusion coefficient, promote the development of related theories and applications.

Description

technical field [0001] The invention relates to the field of interdiffusion of multi-component alloy melts, specifically a global optimization algorithm for obtaining multi-component interdiffusion coefficients by organically combining an intelligent genetic algorithm, a simulated annealing algorithm and a traditional L-M algorithm. Background technique [0002] As the basis of modern science and industrial development, the importance of materials is unquestionable, and in the traditional material forming process, whether it is melting, casting, welding, etc., diffusion plays a vital role. In a solid alloy with a periodic structure, due to the simplification of the structure and the support of a large number of experimental data, its diffusion theory is relatively complete; for the diffusion of liquid, due to its complex structure and lack of experimental data, it has not yet been perfected. theoretical support. At the same time, more and more scientific researchers have re...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G06F19/00G06N3/00G06N3/12
Inventor 张博胡金亮陈成钟浪祥
Owner HEFEI UNIV OF TECH
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