Formation of problems of elastoplastic deformation of three-dimensional bodies

Abstract

Formulation of three-dimensional elastoplastic problems, finite elements in the calculation of bodies with elastoplastic three-dimensional complex shape (with voids, inclusions and cavities), algorithms for using Vlasov-Kantorovich, finite difference methods, calculation of coefficients of the system of solving equations solution algorithms are presented. By employing a combination of theoretical analysis and numerical simulations, we explore the interplay between elastic and plastic behaviors under various loading conditions. The research highlights the significance of material properties, geometric configurations, and boundary conditions in influencing deformation patterns.