Principle and application of complementary energy method for thin homogeneous and sandwich plates and shells with finite deflections

Chi-Teh Wang
naca-tn-2620
Feb 1952


The principle of complementary energy in the nonlinear elasticity theory is shown to be derivable from the principle of potential energy by a Legendre type of transformation. In particular, the expression of the complementary energy is derived for homogeneous and sandwich plates and shells with large deflections. By the method of complementary energy, the stress-strain relations are derived for homogeneous shells, sandwich plates, and sandwich shells. Without the use of this method much lengthier calculations would be necessary.

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