Solodei I. Solution of 3D dynamic problem for nonlinear deformation and discrete fracture processes based on state-of-the-art finite element models

New methodology of 3D numeric modelling of elastoplastic deformation process and discrete fracture of circular and prismatic bodies of complicated structure under dynamic loadings has been elaborated. Based on the developed algorithms of large system equation solution of semi-analytical finite element method (SAFEM) and finite elements (FE), which include basic general circular and prismatic FE with variables of geometrical and physical parameters and problem-oriented FE to solve dynamic problem, the solution concept of elastoplastic oscillation, contact interaction problem and fracture strength parameters calculation have been proposed. In the range of SAFEM new approaches of researching of 3D periodic motion and bodies under moving loads have been considered. New modificated numerical procedures of time integration of motion equation for free and forced oscillation problem as well as for plastic non-stationary oscillation under impulsive loading have been developed. Efficient methodology of crack approximation and algorithms of fracture strength parameters calculation in the SAFEM scheme have been worked out. Programmatic realization and approbation on test examples are executed. Practical problems of responsible spatial objects are untied.