Abstract

Until recently the famous principle of minimum complementary energy of the classical linear theory of elasticity has defied all attempts at an effective generalization to the nonlinear case where the strain-displacement relations are no longer linear. L. M. Zubov [4] has now taken a significant step towards the solution of this problem in the form of his principle of stationary complementary energy, expressed in terms of the Piola stress tensor. Zubov’s argument, however, is open to criticism at several points. The present paper aims at the removal of these weak points and at a simpler derivation of Zubov’s theorem. The theory is illustrated by some simple examples.

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