Generic Buckling and Bending Behavior of Initially Stressed Antisymmetric Cross-Ply Thick Laminates:

TLDR: In this article, the virtual work theorem is used to derive the equations of motion for antisymmetric cross-ply laminates in a general state of nonuniform initial stress, where the effects of transverse shear and rotary inertia are included, and the equations are adjusted to a generic form by using appropriate transformations.

Abstract: Equations of motion for antisymmetric cross-ply laminates in a general state of nonuniform initial stress, where the effects of transverse shear and rotary inertia are included, are derived by the virtual work theorem. The equations are adjusted to a generic form by using appropriate transformations. With the help of using the transforma tions, introducing generalized parameters, and employing a similarity parameter, compre hensive solutions are found to this problem; hence, the curves presented in the text are generic rather than specific. The thick plate equations are solved for simply-supported rec tangular antisymmetric cross-ply laminated plates in a state of uniform compressive stress plus a uniform bending stress with both acting in the same direction. The results of the reduced set of equations agree with those obtained by previous investigators.