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Relation between the ratio of elastic work to the total work of indentation and the ratio of hardness to Young's modulus for a perfect conical tip

Lookup NU author(s): Dr Jinju Chen, Professor Steve BullORCiD



A linear relationship between the ratio of elastic work to the total indentation work and hardness to reduced modulus, i.e., We/Wt = λ H/Er, has been derived analytically and numerically in a number of studies and has been widely accepted. However, the scaling relationship between We/Wt and H/Er has recently been questioned, and it was found that λ is actually not a constant but is related to material properties. In this study, a new relationship between We/Wt and H/Er has been derived, which shows excellent agreement with numerical simulation and experimental results. We also propose a method for obtaining the elastic modulus and hardness of a material without invoking the commonly used Oliver and Pharr method. Furthermore, it is demonstrated that this method is less sensitive to tip imperfections than the Oliver and Pharr approach is. © 2009 Materials Research Society.

Publication metadata

Author(s): Chen J, Bull SJ

Publication type: Article

Publication status: Published

Journal: Journal of Materials Research

Year: 2009

Volume: 24

Issue: 3

Pages: 590-598

ISSN (print): 0884-2914

ISSN (electronic): 2044-5326

Publisher: Cambridge University Press


DOI: 10.1557/jmr.2009.0086


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