A quasi-three-dimensional approach for homogeneous anisotropic plates undergoing extensional deformations

In present paper, the Kane-Mindlin assumptions are applied to homogenous anisotropic plates undergoing extensional deformations. A complex potential approach is formulated; to that end, a third complex potential is added to the two Lekhniskii complex potentials, [2]. The components of displacement and stress as well as boundary conditions are represented in terms of these three complex potentials. The advantage of the proposed approach is that problems of anisotropic plates under extensional deformations are treated as a quasi-three-dimensional problem by considering the effect of the transverse normal strain.