岩土力学2011，Vol.32Issue(9)：2663-2668,6.
三维应力状态下砂的临界状态本构模型分叉分析
Analysis of bifurcation by a critical state model for sands under three-dimensional stress states
摘要
Abstract
The bifurcation analysis was derived in three-dimensional stress states by using a critical state constitutive model by Yao et al. (2004), which based on the nonassociated flow rule. Theoretical analysis shows that, bifurcation is dependent closely on the stress path. Bifurcation occurs in the hardening regime under the Lode angle changing between minus twenty-five degree and fifteen degree, and the stress ratio, principal strain at bifurcation and inclination angle of shear bands first increase and then decrease with increasing of the Lode angle. But there is no bifurcation occurring in other stress path under constant mean stress. Finally, the return mapping algorithm is adopted in order to implement the model into a nonlinear finite element analysis software ABAQUS through the user material subroutine (UMAT) interface. Numerical simulation results show that the bifurcation also exists in the numerical analysis. The comparison between the numerical results and theoretical solutions indicates that both are in good agreement.关键词
临界状态模型/非关联法则/分叉分析/三维/砂Key words
critical state model/ nonassociated flow rule/ bifurcation analysis/ three-dimension/ sand分类
数理科学引用本文复制引用
甄文战,孙德安,陈瑶瑶..三维应力状态下砂的临界状态本构模型分叉分析[J].岩土力学,2011,32(9):2663-2668,6.基金项目
国家自然科学基金资助项目(No.10972130). （No.10972130）
