Simply supported orthotropic elastic rectangular plates in biaxial compres sion are considered, and it is proved that such plates will buckle with m or n (or both) equal to 1, where m and n are the number of half waves in the two prin cipal directions. While this theorem may be known to many as an empirical computational fact, it does not appear to have been explicitly stated or proved heretofore in the literature on orthotropic plates
Get full access to this article
View all access options for this article.
References
1.
Wittrick, W.H. , "Correlation Between some Stability Problems for Orthotropic and Isotropic Plates under Bi-Axial and Uni-Axial Direct Stress,"The Aeronautical Quarterly , Volume IV, August 1952, pp. 83-92.
2.
Timoshenko, S.P. and Gere, J.M., Theory of Elastic Stability, 2nd Ed., McGraw-Hill, N.Y., 1961, pp. 403-404.
3.
Lekhnitskii, S.G., Anistropic Plates, 2nd ed., Gordon and Breach, N.Y., 1968, pp. 456-459.