 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| Lingjun Yu, Xingquan Wang, Lulu Chen, Dongdong Yu, Zhaokai Li, and Xudong Tang, "Static Solutions for Plane Strain Problem of Coupled Diffusion and Deformation," Mech. Solids. 58 (5), 1768-1778 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
5 |
Pages |
1768-1778 |
| DOI |
10.3103/S0025654423600824 |
| Title |
Static Solutions for Plane Strain Problem of Coupled Diffusion and Deformation |
| Author(s) |
Lingjun Yu (Beijing Institute of Mechanical Equipment, Beijing, 100854 China)
Xingquan Wang (State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100190 China, wang_xqhey@yeah.net)
Lulu Chen (Beijing Glodwind New Energy Trade Co., Ltd, Beijing, 100176 China)
Dongdong Yu (Beijing Institute of Mechanical Equipment, Beijing, 100854 China)
Zhaokai Li (Beijing Institute of Mechanical Equipment, Beijing, 100854 China)
Xudong Tang (Beijing Institute of Mechanical Equipment, Beijing, 100854 China) |
| Abstract |
The diffusion and deformation coupled problem are considered in many material and engineering areas, and it has been studied on both theory and solution methods. However, the analytical solutions for this problem are relatively fewer, especially for two-dimensional problems. In this paper, based on a diffusion and mechanical coupled continuum model, the plane strain problem in the polar coordinates considering mass diffusion was studied. The relationship between volume strain and mass concentration was deduced by using a displacement potential function, and the analytical expression for concentration was then deduced. To comply with the mechanical boundary conditions, the Airy stress function was applied. The analytical expressions for stress components were also completely determined. After that, a numerical example of a cylinder with variant concentration distribution on its cylindrical surface was given, the results showed that concentration gradient distribution would cause the generation of stresses and the value of stresses positive correlated to the concentration gradient. |
| Keywords |
diffusion-induced stress, analytical solution, Airy stress function, chemo-mechanical coupling |
| Received |
30 August 2022 | Revised |
11 November 2022 | Accepted |
17 November 2022 |
| Link to Fulltext |
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