Physically Nonlinear Three-Dimensional Problems on the Elastic Equilibrium of Deformable Bodies

The three-dimensional physically nonlinear elastic problems solved mainly at the S. P. Timoshenko Institute of Mechanics of the National of Academy Sciences of Ukraine are systematized. In this area, efficient approximate analytical methods were developed to solve boundary-value problems for homogeneous and piecewise-homogeneous nonlinearly elastic bodies of canonical and noncanonical shapes. They are used to analytically solve specific problems with the necessary accuracy and to reveal characteristic mechanical effects