The Nonlinear Theory of Quasi-Solid States of Micropolar Elastic Bodies

摘要

A nonlinear theory of quasi-solid states of micropolar elastic bodies is proposed. Quasi-solid states are a three-dimensional analog of the surface bending and are possible only with distributed dislocations. Exact solutions to the problems of strong bending and torsion of micropolar bodies under quasi-solid state conditions are determined. It is established that, in contrast to the linear theory, the nonlinear one admits the existence of self-balanced quasi-solid states.