Buckle Pattern of Biaxially Compressed Simply Supported Orthotropic Rectangular Plates

Abstract

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