Some explicit expressions of Stroh-like formalism for coupled stretching–bending analysis

Abstract

Since Stroh-like formalism for coupled stretching–bending analysis preserves essential features of Stroh formalism for two-dimensional anisotropic elasticity, it becomes important to get the corresponding explicit expressions of some important matrices frequently appeared in Stroh-like formalism. In this paper, explicit expressions are obtained for the fundamental elasticity matrix N, the generalized fundamental elasticity matrix N ( θ ) , the material eigenvector matrices A and B and Barnett–Lothe tensors L, S and H. In these expressions N, A and B are presented for the general laminates, whereas the other matrices are presented only for the symmetric laminates. To show the applicability to the degenerate laminates, these expressions are further reduced to the isotropic plates. Finally, they are applied to get the explicit real component form solutions of the Green’s functions for an infinite isotropic plate.