岩土类材料的变换应力空间及其应用

土、岩石和混凝土的强度受平均应力和应力 Lode 角影响,其破坏面在应力空间为不规则的曲面。基于 Lade 准则和在 p,q 坐标下的幂函数破坏条件推导出了变换应力张量,使用该张量,在不增加任何新的参数条件下就可以使普通应力空间不规则的破坏曲面变换为变换应力空间规则的破坏锥面。在变换应力空间内整理试验结果,可以将其归一化在一个统一的框架内,将普通应力空间中复杂的变形和破坏规律变换为变换应力空间单一的、简单的规律,在新的变换应力空间进行应力应变分析,可使问题得到极大的简化。

Transformed stress space for geomaterials and its application

For soil, rock and concrete, failure surface is irregular in ordinary stress space because of the influence of hydraulic pressure and Lode’s angle of stress to their strength. Based on Lade’s criterion and exponential failure function in coordinate p-q, a new transformed stress tensor is proposed in this paper. With this transformed stress tensor, the irregular failure surface in the ordinary stress space can be transformed into a cone in the transformed stress space without adding any new parameters. Analyzing the test data in the unified transformed stress framework, the complex stress strain relationship may be transformed into single and simple ones.