Abstract

Using the previously proposed generalization of the von Mises yield criterion for crystals with a hexagonal lattice, the dependence of the stress tensor on the strain tensor and applied external pressure is found. The case of plane deformation with an arbitrary orientation of crystallites is analyzed in detail. The components of the stress tensor deviator for magnesium single crystals with all kinds of orientations are calculated, and the stress level lines are plotted for the onset of plastic flow.

中文翻译：

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广义 von Mises 准则作为确定六角材料强度性能的工具

摘要

使用先前提出的对具有六方晶格的晶体的 von Mises 屈服准则的推广，发现了应力张量对应变张量和施加的外部压力的依赖性。详细分析了晶粒任意取向的平面变形情况。计算了各种取向镁单晶的应力张量偏差分量，绘制了塑性流动开始的应力水平线。