THE DECOMPOSED THEOREM OF THE TRANSVERSELY ISOTROPIC ELASTIC PLATE
横观各向同性板的分解理论

In 1992, Gregory gave a rigorous proof about the decomposed form when stress is anti-symmetrical about the mid-plane. His proof is dependent on his previous work, i.e., the Papkovich-Fadle eigenfunction expansion of bi-orthogonal functions. In this paper, we generalize isotropic elastic plate to transversely isotropic elastic plate. And give the decomposed theorem of the transversely isotropic elastic plate, ie. the general state of stress in the plate can be decomposed three parts: the interior state, the shear state and the transcendental state. Our proof is concise and direct and independent of the Papkovich-Fadle eigenfunction expansion of bi-orthogonal functions.