Finite difference analysis of high-velocity plastic forming of shells

The computer model of high-speed elasto-plastic deforming of thin shell, fixed on complex contour mas created. The model allow to estimate wave localization of plastic strains near with the contour of fixing. The two-dimensional problem of mathematical physics in Lagrangian - Euler coordinates describing major plastic strains of shell fixed on composite contour was designed. The strain hardening of material, elastic unloading, temporal law of pressure is taken into account. The implicit finite-difference algorithm of numerical solution using on each temporal step the special joint solution method of two systems of the nonlinear algebraic equations was designed and the program was implemented. The calculations have been shown possibility of localization of plastic strains and fractures of workpiece during electrohydraulic sheet metal forming.