On a certain model of uniperiodic medium thickness plates subjected to initial stresses

The aim of the paper is twofold. First, governing equations for medium thickness elastic plates which have a periodically non-homogeneous structure in one direction (uniperiodic) and subjected to initial in-plane stresses are derived. In order to obtain the aforementioned equations, the tolerance averaging technique is applied. This technique leads to equations with constant coeffcients. Second, the above equations are applied to analysis of certain stability and dynamic problems. The stiffnesses of plates were calculated by treating them as structurally anisotrpic. An interesting result is that two values of the critical force can be obtained. This result can have a physical meaning for the stability of plates under compression in one direction and tension in the perpendicular direction.