We use a special duality by perturbation approach in optimization to find two different bi-dual problems of the non-linear Kirchhoff-Love-von Kármán plate theory. The first one coincides with that found by means of the intrinsic approach of P.G. Ciarlet, while the second is found by means of a complementary energy introduced by J.J. Telega.

中文翻译：

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非线性Kirchhoff-Love-vonKármán板理论的内在公式

我们在优化中使用特殊的对偶扰动方法来发现非线性Kirchhoff-Love-vonKármán板理论的两个不同的对偶问题。第一个与通过PG Ciarlet的内在方法发现的相吻合，而第二个通过由JJ Telega引入的互补能量发现。