摘要：以朗夫力学分析为基础, 将粉体视作为均匀球形颗粒的随机堆积体, 按照公理化逻辑体系要求, 对粉体受力后, 粉体层内某个切面上的应力进行分析研究, 以揭示粉体受力后特有的内在规律性, 改善了半理论半经验的粉体应力分析的推理过程, 为进一步揭示粉体的摩擦规律和抗拉强度提供了参考。

关键词：粉体颗粒层；应力分析；刚性模型；球形颗粒；粒度均匀分布；随机堆积

Abstract：Based on Rumpf's mechanics analysis, the powder was considered as a random accumulation of homogeneous spherical particles. According to the logic axiomatic system requirements, the theoretical analysis of the stress was explored in an aspect of the powder layer under the action of a force.Consequently, the inherent regularity is revealed with the powders under the action of a force. The reasoning process is improved on the half-theory and half-experience stress analysis for powders. In order to further reveal the friction law and tensile strength of the powder layer, a good foundation has laid.

Keywords: powder layer；stress analysis；rigid model；spherical particle；uniformly distributed particle size；randomly packed bed