Analytic method for solving three-dimensional physically nonlinear problems of statics for layered cylinders

We formulate three-dimensional boundary-value problems of the physically nonlinear theory of elasticity concerning the determination of the stress-strain state of layered circular cylinders. We develop an approximate analytic method for solving these problems. The method is based on the general concepts of perturbation theory (the method of perturbation of linearly elastic properties). The method proposed enables one to reduce a physically nonlinear problem to a sequence of linear inhomogeneous problems. © 2001 Plenum Publishing Corporation.