散粒体临界状态下的变形规律

The Deformation Regulation for Granular Materials at Critical State

分析了散粒体临界状态下的变形特征，应用能量平衡原理导出了临界状态下的变形规律．指出散粒体临界状态下的主应变率与主应力共轴，而与临界应力面形状无关．给出了临界状态下的能量平衡方程及塑性功与临界应力面的关系．当散粒体的塑性功与静水压力成正比，则临界应力面在主应力空间是以原点为锥顶的锥面；反之亦然．

This paper analyses the deformation characteristics of granular materials at critical state, and the deformation regulation is derived on the principle of energy equilibrium. It points out that the principal strain rate is coaxial with the principal stress at critical state and is independent of the critical stress surface shape. The energy equilibrium equation and the relation between plastic work and the critical stress surface are given. The relation shows that the critical stress surface is a cone with its apex at the origin in the principal stress space when plastic work is proportional to the hydrostatic stress, and vice versa.