Abstract
1. We used the methods of mathematical statistics to examine the behavior of a polycrystalline material during plastic deformation. The material is represented as a certain abstract object — a microinhomogeneous medium. It was shown that the main principles of the classical theory of plasticity — pairing of the shear stresses and strains and the strain compatibility condition — are not observed for the second-order stresses and strains. We theoretically confirmed the well-known experimental fact that the plastic deformation of polycrystals is accompanied by the formation of a large number of microcracks. 2. The chosen model of polycrystalline materials was used to derive the equations of the deformation of a microinhomogeneous medium in probabilistic form, which makes it possible to evaluate the probability of nucleation of microcracks in the volume of a polycrystal undergoing deformation. This probability physically reflects the extent of damage to the material.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
