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

David Steigmann (1) , Raymond W. Ogden (2)

1 Department of Mechanical Engineering [Berkeley]
2 Departments of Mathematics

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.

Domaines: Mécanique [physics.med-ph]

David Steigmann, Raymond W. Ogden. Classical plate buckling theory as the small-thickness limit of three-dimensional incremental elasticity. Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2012, - (-), pp.1-14. ⟨hal-00773268⟩