Shneider V. Damage of materials at complex loading

The object of the research is processes of accumulation of damage to microheterogeneous materials at complex loading. Development of the theory of inelastic deformation for the description of processes of accumulation of damage to microheterogeneous materials during plastic deformation on complex loading trajectories is the aim of the research. The generalized discrete variant of the theory of microstrains which considers heterogeneity of orientations and yield stress of particles of which the representative volume of a material is made is constructed. Dependence of yield stress of grain of a polycrystalline material on its size is considered. Within the limits of the theory of microstrains accumulation of unilateral plastic deformation at complex loading and damage in the form of plastic dilatation at cyclic processes of deformation are described. Constitutive relations of damage theories in treatment of Kachanov-Rabotnov on macro- and microlevels are constructed. Results of work can be used in the design organizations for calculation of strength and durability of constructions, which work in condition of complex cyclic loading, and also in educational process.