Intrinsic formulations of the nonlinear Kirchhoff-Love-von Kármán plate theory

Abstract

We use a special duality by perturbation in optimization to find two different bi-duals problems of the non-linear Kirchhoff-Love-von Kármán plate theory. The first gives exactly the intrinsic approach developed by P. G. Ciarlet, the second gives an intrinsic approach implied by a J.J. Telega complementary energy