理想塑性岩土的屈服条件与本构关系

本文讨论了理想塑性岩土屈服条件在应力空间和应变空间中的表达形式,以及在子午平面上和π平面上屈服迹线的特点。文中将目前应用较广的十个屈服条件表达成一个统一公式,并通过变换,写出了应变屈服条件的统一表达式。最后,文中还给出了各种应力屈服函数与应变屈服函数的导数值,以求理想塑性岩土的弹塑性矩阵。

Yield Criterion and Constitutive Relation for Perfect Plastic Rock-soil

This paper deals with the expressions of the yield criteria for perfect plastic rock-soil in stress space and strain space, and the characteristics of the yield curves on a meridian plane and a π plane. In this paper, a unified formula is used to represent the ten yield criteria which are widely adopted at present, and a unified expression of the strain yield criterions is also derived through transformation. And moreover, different derevative values of the stress yield functions and the strain yield functions are given to obtain the elasto-plastic matrix of the perfect plastic rock-soil, and all the results can be used for practical purposes.