The influence of punch blunting on the elastic indentation response
The influence of punch blunting on the elastic indentation response
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DOI：
10.1243/0309324011514557
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发表时间：
2001-07-01
影响因子：
1.6
通讯作者：
Korsunsky, AM
中科院分区：
文献类型：
--
作者：
Korsunsky, AM
本文用绿色和Zerna以及柯林斯的方法研究了一类刚性冲头与半无限大基底之间无摩擦接触的轴对称问题的弹性解。该分析与材料压痕测试中实验结果的解释相关，例如，当需要从载荷-位移轨迹确定基底特性时，压头尖端形状的精确信息至关重要。理想冲头形状（例如，具有球形或锥形尖端的冲头形状）的常用解决方案可能仅被视为近似值，因为在实践中，压头尖端既不是完美的圆形也不是无限尖锐的。为了说明冲头形状的小变化可能对接触行为的影响，分析解决方案的钝赫兹压头和圆锥的参数形式，并在极端的低和高负载的渐近行为进行了研究。一个光滑的冲头，然后被认为是一个一般的形状，由幂级数给出，并得到的一般解决方案被用作开发的反问题制定的尖端形状校准程序的基础。该方法允许建立测量的和预测的载荷-位移依赖性之间的最佳匹配。这个过程的应用程序的一些纳米压痕数据的分析的一个例子。
Elastic solutions of a family of axisymmetric problems concerning frictionless contact between a rigid punch and a semi-infinite substrate are considered using the method of Green and Zerna and of Collins. The analysis is relevant to the interpretation of experimental results in materials indentation testing, e.g. when substrate properties need to be determined from load-displacement traces, and precise information about the indenter tip shape is crucial.Commonly used solutions for ideal punch shapes, e.g. those having spherical or conical tips, may only be viewed as approximations since, in practice, indenter tips are neither perfectly round nor infinitely sharp. In order to illustrate the influence that small variations in punch shape may have on the contact behaviour, analytical solutions for a blunted Hertzian indenter and a rounded cone are obtained in parametric form, and their asymptotic behaviour at the extremes of low and high loads is investigated. A smooth punch is then considered of a general shape, given by a power series, and the resulting general solution is used as a basis for developing an inverse problem formulation of the tip shape calibration procedure. The method allows the best match between the measured and predicted load-displacement dependencies to be established. An example of the application of this procedure to the analysis of some nanoindentation data is presented.