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梯度依赖的非局部摩擦模型及其在锚杆受力分析中的应用
引用本文:刘伟平,扶名福.梯度依赖的非局部摩擦模型及其在锚杆受力分析中的应用[J].工业建筑,2014(8):114-117.
作者姓名:刘伟平  扶名福
作者单位:南昌大学建筑工程学院,南昌,330031
基金项目:教育部高等学校博士学科点专项科研基金资助项目(20123601110001);江西省重大科研专项计划(20124A13E02106)。
摘    要: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。

关 键 词:梯度  非局部摩擦  锚杆

GRADIENT DEPENDENT NONLOCAL FRICTION MODEL AND ITS APPLICATION IN MECHANICAL ANALYSIS OF BOLT
Liu Weiping,Fu Mingfu.GRADIENT DEPENDENT NONLOCAL FRICTION MODEL AND ITS APPLICATION IN MECHANICAL ANALYSIS OF BOLT[J].Industrial Construction,2014(8):114-117.
Authors:Liu Weiping  Fu Mingfu
Abstract:Based on the gradient theory,a gradient dependent nonlocal friction model was established and used to analyze bolt. By using Mindlin's solution of displacement,a solution of shear stress in the anchorage was derived.The nonlocal effect on the contact surface was revealed and the solution of shear stress of the anchorage section was given. The results were compared with those obtained by the gradient dependent nonlocal friction model and local frication model. Factors affecting the nonlocal friction were discussed. Taking account of the nonlocal friction effects,the shear stress peak value in the anchorage zone was smaller than the one without the consideration.
Keywords:gradient  nonlocal friction  bolt
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