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Semi-inverse method for predicting stress–strain relationship from cone indentations

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Abstract

A method for determining the stress–strain relationship of a material from hardness values H obtained from cone indentation tests with various apical angles is presented. The materials studied were assumed to exhibit power-law hardening. As a result, the properties of importance are the Young’s modulus E, yield strength Y, and the work-hardening exponent n. Previous work [W.C. Oliver and G.M. Pharr, J. Mater. Res. 7, 1564 (1992)] showed that E can be determined from initial force–displacement data collected while unloading the indenter from the material. Consequently, the properties that need to be determined are Y and n. Dimensional analysis was used to generalize H/E so that it was a function of Y/E and n [Y-T. Cheng and C-M. Cheng, J. Appl. Phys. 84, 1284 (1999); Philos. Mag. Lett. 77, 39 (1998)]. A parametric study of Y/E and n was conducted using the finite element method to model material behavior. Regression analysis was used to correlate the H/E findings from the simulations to Y/E and n. With the a priori knowledge of E, this correlation was used to estimate Y and n.

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Authors and Affiliations

  1. Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, 93106, California, USA

    A. DiCarlo & H. T. Y. Yang

  2. School of Industrial Engineering, Purdue University, West Lafayette, 47907, Indiana, USA

    S. Chandrasekar

Authors
  1. A. DiCarlo
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  2. H. T. Y. Yang
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  3. S. Chandrasekar
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DiCarlo, A., Yang, H.T.Y. & Chandrasekar, S. Semi-inverse method for predicting stress–strain relationship from cone indentations. Journal of Materials Research 18, 2068–2078 (2003). https://doi.org/10.1557/JMR.2003.0291

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  • DOI: https://doi.org/10.1557/JMR.2003.0291

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