Abstract: In this paper the Euler equation of the deflection of elastic thin plate is reduced to the equation with Schröd-inger form by the principle of quantum electro-dynamics. Then we can obtain the general solution of deflection of elastic thin bending plate by the joint action of dynamical lateral pressure, force in central surface and external field on the elastic base.

Key words: Green’s function, T-stress, complex variable function, semi-infinite crack, fracture mechanics