Abstract
On the basis of von Kármán equations and using the general bifurcation theory, the elastic instability of an orthotropic elliptic plate whose edge is subjected to a uniform plane compression is discussed. Following the well-known Liapunov-Schmidt process the existance of bifurcation solution at a simple eigenvalue is shown and the asymptotic expression is obtained by means of the perturbation expansion with a small parameter. Finally, by using the finite element method, the critical loads of the plate are computed and the post-buckling behavior is analysed. And also the effect of material and geometric parameters on the stability is studied.
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Communicated by Hsueh Dah-wei
The project is supported by the State Education Commission of the People's Republic of China.
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Chang-jun, C., Jian-guo, N. Elastic instability of an orthotropic elliptic plate. Appl Math Mech 12, 355–362 (1991). https://doi.org/10.1007/BF02020398
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DOI: https://doi.org/10.1007/BF02020398