FIELD EQUATIONS GOVERNING THE MECHANICAL BEHAVIOR OF LAYERED CIRCULAR CYLINDERS

The cylinders consist of alternating layers of high-modulus reinforcing material and a low-modulus matrix material. The first stage of the derivation involves certain assumptions and operations within the system of discrete, curved layers. In the next stage a transition is accomplished from the system of discrete layers to a homogeneous continuum model, whereby the state of deformation in the multilayered body is described by fields defining gross displacements and local deformations. The system of governing equations includes stress equations of motion, constitutive relations, boundary conditions, and displacement equations of motion.