深部巷道围岩分区破裂的非线性连续相变模型研究

发布时间：2018-11-17 10:08

【摘要】：深部巷道围岩中会形成分区破裂现象。围岩分区破裂的形成过程可以看作是围岩内部结构的连续相变过程,因此,连续相变模型可以描述分区破裂的主要特征。基于文献[15-16]中利用连续相变理论,结合经典弹塑性理论建立了围岩分区破裂的非线性相变模型。运用相平面分析法研究了非线性连续相变模型方程的解的性质,得到了非线性解的3种形式。用数值方法求解了非线性连续相变模型方程,并与线性相变模型的解进行了比较,展示了非线性模型能够更好地描述围岩变形的空间分布。最后分析了非线性模型方程中各系数对方程解的影响及其物理意义,其研究结果对于应用非线性连续相变模型模拟分区破裂具有指导意义。
[Abstract]:In the deep roadway surrounding rock, the phenomenon of zonal rupture will be formed. The formation process of zonal fracture of surrounding rock can be regarded as the continuous phase transition process of surrounding rock internal structure. Therefore, the continuous phase transformation model can describe the main characteristics of zonal fracture. Based on the theory of continuous phase transition in reference [15-16] and the classical elastoplastic theory, a nonlinear phase transformation model for the zonal fracture of surrounding rock is established. The properties of the solution of the nonlinear continuous phase transformation model equation are studied by using the phase plane analysis method, and three forms of the nonlinear solution are obtained. The nonlinear continuous phase transformation model equation is solved by numerical method and compared with the linear phase transformation model. It is shown that the nonlinear model can better describe the spatial distribution of surrounding rock deformation. Finally, the influence of the coefficients on the solution of the nonlinear model equation and its physical significance are analyzed. The results of the study are instructive for the application of the nonlinear continuous phase transformation model to simulate the zonal fracture.
【作者单位】：北京建筑大学北京市工程结构与新材料工程研究中心;中国人民解放军理工大学;北京城建设计发展集团股份有限公司;
【基金】：国家自然基金资助项目(No.51174012,No.51478027) 北京市属高等学校创新团队建设与教师职业发展计划项目(No.IDHT20130512) 国家重点基础研究发展计划(973)项目(No.2015CB0578005)~~
【分类号】：TU45

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