砂的临界状态本构模型局部化分叉分析

基于砂的临界状态本构模型考虑了平均有效应力水平及孔隙比的影响，能合理地反映不同密度和应力水平下砂的变形特性。该模型对平面应变状态下变形局部化分叉的解析表明：在围压一定时，分叉出现在应力应变关系硬化阶段，分叉点对应的应力比及剪切带倾角均随孔隙比的增加而减小；密砂及松砂分叉点对应的应力比分别在临界状态线的上侧和下侧；而且峰值应力比与分叉应力比差值基本不变，但松砂较密砂差值大。在初始孔隙比一定时，密砂分叉点对应的应力比及剪切带倾角随着初始有效围压的增大而减小，而松砂分叉时的应力比及剪切带倾角基本不受围压影响。最后，为了验证解析解的正确性，采用回映应力更新算法，编写了有限元材料子程序，把该模型嵌入有限元软件ABAQUS。通过对多单元立方体试样数值模拟结果与解析解的对比，两者基本一致。

Bifurcation analysis of strain localization by critical state model for sands

The occurence of strain bifurcation is dependent closely on the used constitutive model and values of model parameters.The critical state model for sands can describe the stress-strain behaviour of loose,medium and dense sands,with mean stress level and void ratio being considered.In this paper,the bifurcation solutions to a critical state model established by Yao et al(2004) in different initial void ratios and initial confining pressures are obtained.The theoretical analysis shows that,when the initial co...