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为探究一种获得含裂纹岩体应力场的新方法,采用理论推导、Matlab编程、有限元模拟相结合的方法,将含有裂纹缺陷的岩体简化为平面应力状态下含有I、II型复合单裂纹的力学模型,利用复变函数解法求得该模型应力场的理论解;基于此理论解,通过Matlab编程求得此岩体模型的应力场并使之可视化;再利用有限元软件Abaqus对相同模型进行模拟运算并得出其应力等值线图.通过对比,发现两者具有高度的相似性,证明了基于理论分析基础上的Matlab编程可视化应力场方法的可行性,可以为工程模拟提供一种新的参考和思路.
In order to explore a new method to obtain the stress field of a cracked rock mass, the rock mass containing the crack defects is reduced to a type I, II complex single plane under the condition of plane stress by using theoretical derivation, Matlab programming and finite element simulation. Based on the theoretical solution, the stress field of the rock mass model is obtained by Matlab program and visualized. Then the finite element software Abaqus is used to compare the same The model is simulated and the stress contour map is obtained.Comparison shows that the two methods have a high degree of similarity, which proves the feasibility of visualizing stress field based on Matlab programming based on theoretical analysis, which can provide a A new kind of reference and ideas.