 | | 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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| Y.Z. Li, J.W. Fu, L.F. Qian, and H.Y. Wang, "On the Discussions of Nonlinear Terms in the Large Deformation Model of Thin-Walled Cylindrical Shells," Mech. Solids. 58 (4), 1214-1227 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
4 |
Pages |
1214-1227 |
| DOI |
10.3103/S0025654423600216 |
| Title |
On the Discussions of Nonlinear Terms in the Large Deformation Model of Thin-Walled Cylindrical Shells |
| Author(s) |
Y.Z. Li (Nanjing University of Science and Technology, Nanjing, 210094 China)
J.W. Fu (Nanjing University of Science and Technology, Nanjing, 210094 China, jwfu@njust.edu.cn)
L.F. Qian (Northwest Institute of Mechanical and Electrical Engineering, Xianyang, 712099 China)
H.Y. Wang (Nanjing University of Science and Technology, Nanjing, 210094 China) |
| Abstract |
The significance of the nonlinear terms in the governing equations to describe the transiently large deformation of a thin-walled cylindrical shell under impact pressures is discussed in this paper. Firstly, the 1st P-K stress tensor is adopted to depict the motion equations of the shell with respect to the original configuration. More nonlinear terms are retained when the 1st P-K stress is transformed into the symmetrical 2nd P-K stress. Moreover, the Green’s strain tensor is employed in the geometrical equation to describe the nonlinearly large deformation of shell, and the curvature change is expressed to involve large deformation as well. Without considering all these nonlinear terms, the governing equation can degenerate to that in references. The circumferential displacement is kept in the motion equations, and the wall thickness change is taken into account. Dividing these nonlinear terms into two parts according to their affiliations, four groups of governing equations involving different nonlinear terms are obtained. Then, the deformation behavior of a shell subjected to a specified loading is solved using different governing equations and compared with FEM results to reveal the significance of these nonlinear terms. It is found that the nonlinear terms from geometrical equations should be kept while the nonlinear terms in equilibrium equations can be ignored. |
| Keywords |
nonlinear terms, thin-walled shell, large deformation, impact pressures |
| Received |
09 February 2023 | Revised |
28 April 2023 | Accepted |
01 May 2023 |
| Link to Fulltext |
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