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Inverse scaling functions in nanoindentation with sharp indenters: Determination of material properties

机译：具有尖锐压头的纳米压痕的反比例缩放功能：材料性能的确定

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摘要

This paper, based on extensive finite element simulations and scaling analysis, presents scaling functions for the inverse problem in nanoindentation with sharp indenters to determine material properties from nanoindentation response. All the inverse scaling functions were directly compared with results calculated using the large deformation finite element method and are valid from the elastic to the full plastic regimes. To relate the material properties to measurable indentation parameters a new nondimensional experimental parameter LAMBDA = P/(DS) was introduced, where P is load, D is indentation depth, and S is contact stiffness. This parameter is monotonically related to the ratio of yield stress to modulus. The modulus, hardness and yield stress are presented as explicit functions of LAMBDA and the strain hardening exponent. The error in the inverse modulus, hardness, and yield stress due to uncertainty of the strain hardening exponent was studied and is compared with that of the traditional Oliver-Pharr method. The method of determining the strain hardening exponent from measurement with an additional indenter with a different cone apex angle is described. For this, a scaling function with the strain hardening exponent as the only unknown was obtained. In this way, the modulus, hardness, yield stress and strain hardening exponent may be determined. Experimental results show the inversion method permits the modulus and hardness to be accurately determined irrespective of the effects of pileup or sink-in.
机译：本文基于广泛的有限元模拟和缩放分析，提出了具有尖锐压头的纳米压痕反问题的缩放函数，可以根据纳米压痕响应确定材料性能。将所有反比例缩放函数直接与使用大变形有限元方法计算的结果进行比较，并且从弹性状态到完整塑性状态均有效。为了将材料特性与可测量的压痕参数相关联，引入了新的无量纲实验参数LAMBDA = P /（DS），其中P为载荷，D为压痕深度，S为接触刚度。该参数与屈服应力与模量之比单调相关。模量，硬度和屈服应力作为LAMBDA和应变硬化指数的明确函数表示。研究了由于应变硬化指数不确定性导致的逆模量，硬度和屈服应力的误差，并将其与传统的Oliver-Pharr方法进行了比较。描述了通过使用具有不同锥顶角的附加压头进行测量来确定应变硬化指数的方法。为此，获得了具有应变硬化指数作为唯一未知数的缩放函数。这样，可以确定模量，硬度，屈服应力和应变硬化指数。实验结果表明，该反演方法可以准确确定模量和硬度，而不受堆积或沉入的影响。

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  • 来源
    《Journal of Materials Research》 |2005年第4期|p.987-1001|共15页
  • 作者

    Lugen Wang; M. Ganor; S.I. Rokhlin;

  • 作者单位

    Laboratory for Multiscale Materials Processing and Characterization, Edison Joining Technology Center, The Ohio State University, Columbus, Ohio 43221;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);美国《生物学医学文摘》(MEDLINE);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 工程材料学;
  • 关键词

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