层状岩体的Cosserat介质均匀化

将层状岩体视为由Cosserat介质组成的复合体,对其进行均匀化等效,在MATLAB平台上进行有限元编程,得到新等效本构关系。不仅能反映层状岩体的弯曲特性,而且可以对节理岩体的力学性能进行宏观和细观描述。通过对洞室算例进行显式节理模型、横观各向同性模型以及均匀化Cosserat等效模型三种方法的数值计算比较,证明理论分析与计算方法可行有效。

Homogenization method for layered rock mass as cosserat medium

In the paper,layered rock mass is viewed as a Cosserat medium firstly and is investigated by the homogenization method,A new equivalent constitutive relationship is obtained by means of the FEM program based on the MATLAB,which not only reflects the bending effect of the layered rock mass utilizing the especial couple stress,but also interprets the mechanics of jointed rock mass combining macro with micro scopes.Finally,s an example the underground cavern is numerically analyzed and the results are compared with the ones via three different other methods: the explicit joint model,the transversely isotropic model and the homogenization Cosserat equivalent model,The numerical results prove that the FEM program is effective and the new method is of feasibility.