Surface effect in axisymmetric Hertzian contact problems
Surface effect in axisymmetric Hertzian contact problems
复制标题
轴对称赫兹接触问题中的表面效应
DOI：
10.1016/j.ijsolstr.2018.06.019
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发表时间：
2018-10
期刊：
影响因子：
--
通讯作者：
Chen Shaohua
中科院分区：
文献类型：
--
作者：
Jia Ning;Yao Yin;Peng Zhilong;Yang Yazheng;Chen Shaohua
本文利用最近发展的纳米结构材料弹性理论研究了三种不同轴对称赫兹接触模型中的表面效应，包括 Boussinesq 问题、刚性平端圆柱形压头与弹性半空间之间的接触问题以及刚性球形压头与弹性半空间之间的接触问题。借助Love应变函数法和汉克尔积分变换，得到了集中力作用下弹性半空间表面应力场和位移场的闭式解，在此基础上进一步得到了三种不同轴对称接触问题中的界面牵引力和位移场。研究发现，这些接触问题中的表面效应只能通过固有长度来表征，即凹痕材料的体积表面能密度与体积剪切模量的比率。当接触半径与本征长度相当时，表面效应非常明显，导致纳米材料理论模型和经典接触模型分别预测的两种解存在严重偏差。一个更有趣的现象是表面效应对压痕硬度的影响，当外部载荷固定时，表面效应随着压头半径的减小而增大，或者当压头半径不变时，随着外部载荷的减小而增大。本文的所有结果不仅有助于深入理解表面效应对纳米接触行为的影响，而且有助于进一步揭示纳米压痕硬度表面效应的本质。
Surface effect in three different axisymmetric Hertzian contact models is investigated in this paper with a recently developed elastic theory for nanostructured materials, including a Boussinesq problem, contact problem between a rigid flat-ended cylindrical indenter and an elastic half space as well as contact problem between a rigid spherical indenter and an elastic half space. With the help of the Love's strain function method and Hankel integral transformation, closed-form solutions of the stress and displacement fields at the surface of an elastic half space subjected to a concentrated force are achieved, based on which the interface tractions and displacements in the three different axisymmetric contact problems can be further obtained. It is found that surface effect in these contact problems can be characterized only by an intrinsic length, i.e., the ratio of the bulk surface energy density to the bulk shear modulus of the indented material. When the contact radius is comparable with the intrinsic length, surface effect is much obvious, leading to a serious deviation between the two solutions predicted respectively by the theoretical model developed for nanomaterials and the classical contact model. A more interesting phenomenon is about surface effect on the indentation hardness, which is found to increase with the reduction of the indenter radius when the external load is fixed, or to increase with the decrease of the external load when the indenter radius keeps unchanged. All the results in this paper should be helpful not only for deep understanding of the surface effect on nano-contact behaviors but also for further revealing the nature of surface effect of nano-indentation hardness.
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影响因子：
6.6
作者：
Y. Pinyochotiwong;J. Rungamornrat;T. Senjuntichai
通讯作者：
Y. Pinyochotiwong;J. Rungamornrat;T. Senjuntichai
DOI：
10.1007/978-1-4613-4277-9_4
发表时间：
1976
期刊：
--
影响因子：
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作者：
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通讯作者：
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DOI：
10.1016/j.ijsolstr.2017.01.021
发表时间：
2017-05
影响因子：
3.6
作者：
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通讯作者：
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影响因子：
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作者：
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通讯作者：
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具有材料表面的各向同性弹性半空间的反平面剪切格林函数
DOI：
10.1016/j.ijsolstr.2010.03.007
发表时间：
2010-06
影响因子：
3.6
作者：
Chen, W. Q.;Zhang, C. Z.
通讯作者：
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