stretching, displacement, deformation, stress, boundary conditions, linearization, Bessel function.

We considers the stretching of an infinitely long cylindrical rod of variable cross-section. The results of solving the linearized equations of the theory of small elastic-plastic deformations [1-7] in the case of an axisymmetric problem are used. It is assumed that a simple stretch occurs in the initial state.

Petrov Nikolay Iluich,

Candidate Sci. Phys. & Math., Docent, Department of general physics, Chuvash State University, Cheboksary, Russia.