Finite deformation of a rotating orthotropic cylinder with linear elasticity

The effects of finite deformation upon a rotating, orthotropic cylinder with linear elasticity is investigated. The governing equation and boundary conditions form a non-linear two-point boundary-value problem. A numerical integration technique is used in conjunction with the related initial-value problem and Newton's method to obtain approximate solutions. The problem and method of solution provide an example for treatment of non-linear boundary conditions. The stresses induced by finite deformation and the influence of the degree of orthotropy are studied.