 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| Yang Zhang, Kun Yang, and Xi-Ying Zhao, "An Eshelbian Homogenization Solution for the Coupled Mechanical-Diffusion Problem," Mech. Solids. 58 (4), 1410-1436 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
4 |
Pages |
1410-1436 |
| DOI |
10.3103/S0025654423600332 |
| Title |
An Eshelbian Homogenization Solution for the Coupled Mechanical-Diffusion Problem |
| Author(s) |
Yang Zhang (CNCEC-Huayi Engineering & Technology Group, Shanghai, 201401 P.R. China; Nanchang Institute of Technology, Nanchang, 330006 P.R. China, zhangyang51@cnchet.com)
Kun Yang (China Nuclear E&C Group Innovation Institute, Shanghai, 201700 P.R. China)
Xi-Ying Zhao (Dong-Yi Science Technology & Industry Group, Xi’an, 710000 P.R. China) |
| Abstract |
When alloying elements diffuse into a metallic matrix, the matrix phase usually transforms into an inclusion phase. The phase transformation may lead to changes of diffusion coefficient tensor and elastic tensor, and formations of disturbance fields. In this paper, a stress-diffusion coupling model is proposed on the basis of Eshelby's homogenization approach. An analytical solution to the effective diffusion coefficient tensor is developed assuming it solely depends on the inclusion volume fraction. Then, the linear relationship between lattice misfit strain and macro expansion strain is obtained based upon the framework of micromechanics. Finally, the mechanical-diffusional coupling problem is solved through considering the composites homogenization, mechanical equilibriums and the interaction between chemical potential and stress state. |
| Keywords |
Eshelby's tensor, homogenization, diffusion, stress-assisted diffusion |
| Received |
09 March 2023 | Revised |
16 June 2023 | Accepted |
18 June 2023 |
| Link to Fulltext |
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