On the theory of stability of laminated composites

The stability-loss problem for laminated composites is considered for infinite layers with constant thicknesses and parallel interfaces. It is assumed that composites of periodic structure are compressed along the layers and in the perpendicular direction. A spatial problem is investigated using the three-dimensional linearized theory of deformable-body stability in the general case of elastic and elastoplastic compressible and incompressible isotropic and orthotropic bodies under finite and small (two variants of theory) precritical strains. The concept of a plane of points with equal phases of stability-loss form along layers is introduced. A method is proposed for solution of the problem when this plane is oriented arbitrarily with respect to the layer direction.