On 3-D stress analysis of laminated plates with perturbed interfaces

Three-dimensional stress-strain analysis of laminated plates with interfaces, the shape of which is slightly perturbed and may be described by sufficiently smooth function of two variables and small dimensionless parameter, has been fulfilled. Using the method of perturbation of boundary shape based on representing of stresses and displacements as series in respect to the small parameter which describes the shape of interfaces, the initial three-dimensional problem of theory of elasticity has been reduced to the sequence of problems for the plate with perfectly flat interfaces. The influence of the interface shape (amplitude of waving and value of the wave-forming parameter) on stresses and deflection of isotropic two-layered plates under bending with periodically waved in one direction interfaces has been examined. To obtain the numerical results with sufficient accuracy first three approximations for stresses and displacements have been proved to be enough.