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基于梯度理论,建立了梯度依赖的非局部摩擦模型,并应用其对锚杆受拉时锚固段的剪应力进行理论分析。根据Mindlin问题的位移解,导出锚杆锚固段的剪应力,得到在非局部摩擦模型下的锚杆锚固段的剪应力解,并对梯度依赖的非局部摩擦模型和局部摩擦模型(库仑模型)下的剪应力结果进行比较,进一步对影响剪应力非局部效应的相关因素进行分析。计算结果表明,考虑非局部摩擦效应时,沿锚固体的剪应力峰值比不考虑的要小。
Based on the gradient theory, a gradient-dependent nonlocal friction model is established and applied to the theoretical analysis of the shear stress in the anchored section when the bolt is pulled. According to the solution of Mindlin problem, the shear stress of anchorage section of anchor is deduced, and the shear stress solution of anchor section under non-local friction model is obtained. And the gradient dependent non-local friction model and local friction model (Coulomb model) Under the shear stress results are compared to further influence on non-local effects of shear stress factors were analyzed. The calculation results show that the peak shear stress along the anchor is smaller than that without considering the nonlocal friction effect.