Algorithm of finite elemental SSS analysis of thin-walled technosphere objects based on a triangular discretion element with elastic-plastic deformation

The article describes an algorithm for the strength calculation of thin-walled objects technosphere, taking into account plastic stage work material used, which is quite relevant with increased requirements saving designed and reconstructed objects. finite element method used as a tool studying stress-strain state technosphere objects, physical nonlinearity applied structural material. As sampling element, fragment middle surface triangular object main nodes at vertices additional midpoints sides used. sought unknowns loading step are increments displacement vector components their first derivatives respect to curvilinear coordinates surface. At nodes, Lagrange multipliers act unknowns, introduced improve consistency bin along boundaries adjacent elements. When deriving plasticity matrix step, we hypothesis that stress increment tensor proportional strain tensor. developed was implemented package programs verified by example calculating rigidly restrained cylinder loaded internal pressure.