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在压剪载荷作用下,层状岩体结构面附近的剪切变形梯度非常显著。基于偶应力理论,研究层状岩体结构面边界层效应。利用有限单元方法进行数值计算,并将偶应力理论的计算结果与经典弹性理论的结果进行比较。采用Serendipity单元(S单元),导出S单元内的插值函数及位移插值公式。利用ANSYS进行前处理,并基于Matlab编制经典理论和偶应力理论相应的计算和后处理程序。结果表明:偶应力对层状岩体结构面剪应变有显著影响,尺度效应明显。相对于经典弹性理论,在偶应力理论中,应变量减小,并在边界层附近出现过渡区;剪应变突变现象得以改善,但剪应力不再连续。特征长度影响过渡区域的大小,但第二剪切模量、泊松比、弹性模量不改变过渡区域的大小。
Under the action of compressive shear load, the gradient of shear deformation near the layered rock mass structure surface is very significant. Based on the theory of even stress, the boundary layer effect of layered rock mass is studied. The finite element method is used to calculate the numerical results, and the results of the theory of even stress are compared with those of classical elasticity theory. The Serendipity unit (S unit) is used to derive the interpolation function and displacement interpolation formula in S unit. Using ANSYS for pretreatment, and based on Matlab to compile classical theory and even stress theory corresponding calculation and postprocessing procedures. The results show that even stress has a significant effect on the shear strain of layered rock mass, and the scale effect is obvious. Compared with classical elastic theory, in the theory of even stress, the amount of strain decreases and the transition zone appears near the boundary layer. The phenomenon of sudden change of shear strain can be improved, but the shear stress is no longer continuous. The characteristic length affects the size of the transition region, but the second shear modulus, Poisson’s ratio, and elastic modulus do not change the size of the transition region.