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非局部摩擦模型的核函数研究及其在锚杆中应用

Keywords: 非局部摩擦,核函数,锚杆,Mindlin位移解

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Abstract:

为研究非局部摩擦理论中核函数的性质及其选取原则,在Oden等提出的非局部摩擦模型的基础上,分别采用指数型、三角函数型、负指数型和幂函数型等4种函数作为非局部摩擦模型中的核函数,并利用Mindlin问题的位移解导出的全长黏结式锚杆沿杆体表面所受剪应力的弹性解,对全长黏结式锚杆进行非局部摩擦分析.研究表明,基于这几种核函数的非局部摩擦模型以及局部摩擦模型所得到的剪应力分布大致相似.通过与实验数据对比可知,采用负指数函数的核函数形式计算所得锚杆侧剪应力分布比其他形式更接近于实验值.

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