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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >On the ability of nanoindentation to measure anisotropic elastic constants of pyrolytic carbon
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On the ability of nanoindentation to measure anisotropic elastic constants of pyrolytic carbon

机译：关于纳米压痕测量热解碳各向异性弹性常数的能力

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We used cube corner, Berkovich, cono-spherical, and Vickers indenters to measure the indentation modulus of highly oriented bulk pyrolytic carbon both normal to and parallel to the plane of elastic isotropy. We compared the measurements with elastic constants previously obtained using strain gage methods and ultrasound phase spectroscopy. While no method currently exists to extract the anisotropic elastic constants from the indentation modulus, the method of Delafargue and Ulm (DU) [17] was used to predict the indentation modulus from the known elastic constants. The indentation modulus normal to the plane of isotropy was %sim; 20% higher than the DU predictions and was independent of indenter type. The indentation modulus parallel to the plane of isotropy was 2-3 times lower than DU predictions, was depth dependent, and was lowest for the cube corner indenter. We attribute the low indentation modulus to nanobuckling of the graphite-like planes and the indenter type dependence to the impact of differing degree of transverse stress on the tendency toward nanobuckling. Cube corner, Berkovich, cono-spherical, and Vickers indenters have been used to measure the indentation modulus of highly oriented bulk pyrolytic carbon both normal to and parallel to the plane of elastic isotropy. The indentation modulus normal to the plane of isotropy was ~ 20% higher than the predictions of Delafargue and Ulm (DU) and was independent of indenter type. The indentation modulus parallel to the plane of isotropy was 2-3 times lower than DU predictions, was depth dependent, and was lowest for the cube corner indenter. The impact of differing degree of transverse stress on the tendency toward nanobuckling is assumed to be relevant.
机译：我们使用立方角，Berkovich，圆锥球形和Vickers压头来测量高度定向的块状热解碳的压痕模量，该热解碳垂直于并平行于弹性各向同性平面。我们将测量值与先前使用应变计方法和超声相谱法获得的弹性常数进行了比较。尽管目前尚无从压痕模量中提取各向异性弹性常数的方法，但使用Delafargue和Ulm（DU）[17]的方法从已知的弹性常数中预测压痕模量。垂直于各向同性平面的压痕模量为％sim;比DU预测值高20％，并且与压头类型无关。平行于各向同性平面的压痕模量比DU预测值低2-3倍，与深度相关，并且对于立方角压头最低。我们将低压痕模量归因于石墨状平面的纳米屈曲，而压头类型的依赖性归因于不同横向应力程度对纳米屈曲趋势的影响。立方角，贝氏，锥球和维氏压头已用于测量垂直于和平行于弹性各向同性平面的高度取向的块状热解碳的压痕模量。垂直于各向同性平面的压痕模量比Delafargue和Ulm（DU）的预测值高约20％，并且与压头类型无关。平行于各向同性平面的压痕模量比DU预测值低2-3倍，与深度相关，并且对于立方角压头最低。假定不同程度的横向应力对纳米屈曲趋势的影响是相关的。

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