“…High efficiency of SAFEM for a certain range of objects has been demonstrated in the field of static and dynamic [2] analysis, continuous fracture mechanics under creep conditions [1], processes of nonlinear deformation of reinforced concrete structures [3]. The analysis of the results on this issue obtained by domestic and foreign scientists shows that most analytical and numerical methods of scientific research are usually oriented to geometrically nonlinear problems at static load [5,12,13]. Aspects of solving problems of dynamic deformation of axisymmetric solids with significantly expressed nonlinear mechanical characteristics, taking into account geometric nonlinearity and conditions of contact interaction are considered in the works of the authors [4,10,11].…”