Panin K. Solving two-dimensional boundary problems of the theory of plasticity taking into account microstrain under complex loading.

Processes of complex loading of elastic-plastic bodies. Formulation of problems, development of solutions methods and obtaining the solutions of boundary problems using relationships of the theory of plasticity taking into account microstrain when proceses of complex loading is taking place. The method of a research is based on using the finite element method and basic relationships of the theory of plasticity taking into account microstrain for solving elastic-plastic boundary problems of complex loading.The numeric algorithms for solving problems of anti-plane deformation, plane strain state and plane stress state for processes of combined loading are proposed. The problems of anti-plane deformation and plane strain state for the beam with hole or crack in square cross-section and plain stress state of plate with hole or crack are considered. In each problems influence of history of loading on form and size of plastic zones are investigated. The results obtained by using deformation theory, increme ntal theory and theory of plasticity taking into account microstrain are compared. The question of non-dependence from contour of J-integral for the case of anti-plane deformation and its dependence from history of loading are considered. Traning courses, engineering.