Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity

Abstract

Classical plate buckling theory is obtained systematically as the small-thickness limit of the three-dimensional linear theory of incremental elasticity with null incremental data. Various a priori assumptions associated with classical treatments of plate buckling, including the Kirchhoff-Love hypothesis, are here derived rather than imposed, and the conditions under which they emerge are stated precisely. © 2014 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.