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Cosserat理论考虑了偶应力对介质变形特性的影响,能反映出层状材料的弯曲变形。首先对基于平面应变问题的偶应力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平台编制这种模型的有限元程序,并对地下洞室工程进行数值模拟验证程序的有效性。结果表明:Cosserat介质扩展模型与参数混合法互补是解决互层岩体问题的有效方法之一。
Cosserat theory considers the influence of even stress on the deformation characteristics of the medium and can reflect the bending deformation of the layered material. Firstly, the theory of even-stress based on plane strain problem and the extended model are briefly introduced. Then, the Mohr-Coulomb plastic yield conditions of the model are derived. Then the finite element program of this model is compiled using Matlab platform and the validity of numerical simulation verification program of underground cavern project is validated. The results show that Cosserat medium expansion model and parametric hybrid method are one of the effective methods to solve the interbedded rock mass problem.