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Revelation of a functional dependence of the sum of two uniaxial strengths/hardness on elastic work/total work of indentation

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Abstract

Dimensional and finite element analyses were used to analyze the relationship between the mechanical properties and instrumented indentation response of materials. Results revealed the existence of a functional dependence of (engineering yield strength σE,y + engineering tensile strength σE,b)/Oliver & Pharr hardness on the ratio of reversible elastic work to total work obtained from an indentation test. The relationship links up the Oliver & Pharr hardness with the material strengths, although the Oliver & Pharr hardness may deviate from the true hardness when sinking in or piling up occurs. The functional relationship can further be used to estimate the sum σE,y + σE,b according to the data of an instrumented indentation test. The σE,y + σE,b value better reflects the strength of a material compared to the hardness value alone. The method was shown to be effective when applied to aluminum alloys. The relationship can further be used to estimate the fatigue limits, which are usually obtained from macroscopic fatigue tests in different modes.

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Authors and Affiliations

  1. Department of Mechanical Engineering, The Academy of Armored Forces Engineering, Beijing, 100072, People’s Republic of China

    Dejun Ma

  2. State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing, 100080, People’s Republic of China

    Taihua Zhang

  3. Department of Applied Physics and Materials Research Center, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, People’s Republic of China

    Chung Wo Ong

Authors
  1. Dejun Ma
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  2. Taihua Zhang
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  3. Chung Wo Ong
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Correspondence to Chung Wo Ong.

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Ma, D., Zhang, T. & Ong, C.W. Revelation of a functional dependence of the sum of two uniaxial strengths/hardness on elastic work/total work of indentation. Journal of Materials Research 21, 895–903 (2006). https://doi.org/10.1557/jmr.2006.0111

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  • DOI: https://doi.org/10.1557/jmr.2006.0111

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