ANALYSIS OF FINITE ELEMENT SOLUTION CONSERVATIVE SMOOTHING INFLUENCE ON THE ZERO ENERGY MODES SUPPRESSION

The problem of high-speed penetration a non-deformable cylinder into steel plate is considered. defining system equations formulated in Lagrange variables three-dimensional formulation. equation motion derived from virtual work capacities balance. Kinematic relations are recorded the metric current state. flow theory with kinematic and isotropic hardening used as contact interaction modeled by non-penetration conditions. numerical solution under given boundary initial conditions based on moment scheme finite element method “cross” type explicit time integration scheme. To discretize respect to spatial variables, 8-node isoparametric elements multilinear form functions used. suppress high-frequency oscillations solution, procedure nodal displacement velocities conservative smoothing algorithm momentum conservation law, focused grids consisting blocks that mutually unambiguously mapped unit cube. analyze monotonicity, splitting directions grid lines As results computer modeling have shown, exposed large deformations rotation angles rigid whole during local intense dynamic loading. influence stability analyzed. It shown consideration, without applying procedure, zero-energy modes develop zone finite-element (an hourglass-type instability) collision process cannot be before rebounds.