层状岩体地下洞室的Cosserat理论有限元分析

采用一般有限元对互层岩体进行数值分析研究时，要求的单元数量多、建模工作量大；并且难以反映层状岩体的弯曲变形特性。针对这种岩体Cosserat介质模型是一种很有用的有限元等效模型。首先对基于平面应变问题的Cosserat介质理论及扩展模型简略介绍，然后导出了模型的Mohr-Coulomb塑性屈服条件。再利用Matlab平台编制有限元程序，并对地下洞室工程进行数值模拟。将所得结果与传统连续介质法的结果进行对比。结果表明，基于Matlab的Cosserat有限元程序的有效性及解决互层岩体这类问题的适用性与优越性。

Finite element analysis of underground caverns in layered rock mass based on Cosserat theory

When bilaminated rock mass is numerical analyzed by conventional finite element method ,that the shortcomings produced is not only the huge modeling workload and maneuverability become more inefficient with layer numbers increasing; but also the method can’t reflect the bending deformation of the layered material. The Cosserat medium expanded model is a equivalent methods aiming at the complex rock mass. The basic principle of the Cosserat continuum theory and its expanded constitutive model are introduced firstly; and the Mohr-Coulomb plastic yield criterion of the new model is given. Then the FEM program is written by using Matlab system; and it is applied to the underground caverns. The results of comparison between Cosserat model and conventional continuum model are presented; and it is shown that the program based on Matlab and Cosserat model is effective, applicable and superior.