Abstract

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.

中文翻译：

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微极性弹性体准固态的非线性理论

摘要

提出了微极性弹性体准固态的非线性理论。准固态是表面弯曲的三维模拟，并且只有在位错分布时才有可能。确定了在准固态条件下微极体强烈弯曲和扭转问题的精确解决方案。与线性理论相反，已建立了非线性理论，它承认存在自平衡准固态。