Thickness effect on the indentation of an elastic layer
Thickness effect on the indentation of an elastic layer
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DOI：
10.1016/s0921-5093(03)00289-2
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发表时间：
2003-10
期刊：
影响因子：
6.4
通讯作者：
Fuqian Yang
中科院分区：
文献类型：
--
作者：
Fuqian Yang
Sneddon解在压痕试验中用于分析材料的弹性行为，其结果忽略了试样厚度的影响。然而，在真实的情况下，当接触半径与试样厚度之比大于1时，试样厚度尤其是薄膜试样的厚度可能是不可忽略的。推导了刚性平头圆柱压头压入弹性层时载荷-位移关系的解析解。为了得到封闭形式的解，在接触界面处使用无摩擦条件。当接触半径远大于膜厚时，接触力与膜厚成反比，与接触半径无关。在此基础上，分析了弹性层与压头之间的粘附作用对拉脱力的影响，得到了拉脱力的解析解。拉脱力是层厚和泊松比的函数，随着泊松比和接触半径与层厚之比的增大而增大。
Sneddon's solution has been used in indentation tests to analyze elastic behavior of materials, in which the result ignores the effect of specimen thickness. However, in the real situation, the specimen thickness especially for thin films may not be negligible when the ratio of contact radius to the specimen thickness is larger than one. An analytical solution of the load-displacement relationship was derived for the indentation problem of an elastic layer by a rigid flat-ended cylindrical indenter. To obtain the closed-form solution, frictionless condition was used at contact interfaces. The contact force is found to be inversely proportional to the film thickness and independent of the contact radius if the contact radius is much larger than the film thickness. Then the effect of adhesion between the elastic layer and the indenter was addressed and an analytical solution of the pull-off force was obtained. The pull-off force is a function the layer thickness and Poisson's ratio, which increases with Poisson's ration and the ratio of the contact radius to the layer thickness.