СКІНЧЕННОЕЛЕМЕНТНІ МОДЕЛІ ПРОСТОРОВИХ ТІЛ В ЗАДАЧАХ ДИНАМІКИ З УРАХУВАННЯМ ВЕЛИКИХ ПЛАСТИЧНИХ ДЕФОРМАЦІЙ

The considerable cost of direct experiments and, in some cases, the impossibility of conducting them due to the complexity of modeling real processes, have determined the wide distribution of mathematical analytical and numerical methods for strength calculations, among which a finite element method (FEM) occupies a special place. In the range of the semi-analytic version of the FEM, a library of finite elements was considered for the approximation of spatial inhomogeneous rotating bodies and prismatic bodies of non-canonical form in the processes of non-stationary deformation under the action of dynamic load, taking into account large plastic deformations. Basic ring and prismatic finite elements with different types of boundary conditions are presented, on the basis of which special FE are constructed to simulate physically nonlinear work of the material and variable zones of contact interaction. The above test examples demonstrate the high reliability and effectiveness of the proposed solutions.