@article{enlighten71984, publisher = {Wiley}, volume = {94}, doi = {10.1002/zamm.201200160}, pages = {7--20}, title = {Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity}, month = {January}, year = {2014}, number = {1-2}, journal = {ZAMM: Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}, 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.\<p\>\</p\>}, issn = {0044-2267}, author = {Steigmann, D. J. and Ogden, R. W.}, url = {https://eprints.gla.ac.uk/71984/} }