Toggle Main Menu Toggle Search

Open Access padlockePrints

Investigation of the relationship between work done during indentation and the hardness and Young's modulus obtained by indentation testing

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


Full text for this publication is not currently held within this repository. Alternative links are provided below where available.


Existing indentation models (both analytical models and numerical analysis) show a linear relation between δr/δm and H/Er, where δr and δm are the residual depth and maximum depth, and Er and H are the reduced Young's modulus and hardness of the test material, respectively. However, in this paper it is shown that the relationship between δr/ δm and H/Er is actually nonlinear. Based on the analysis by Oliver and Pharr, a new relationship between δr/ δm and H/Er has been derived in different ways without any additional assumptions and verified by finite element analysis for a range of bulk materials. Further, with the aid of finite element simulations a new relationship between the irreversible work over total work and hardness over Young's modulus for materials with different work hardening behaviour has been derived which shows excellent agreement with experimental observations. © Carl Hanser Verlag GmbH & Co. KG.

Publication metadata

Author(s): Chen J, Bull SJ

Publication type: Article

Publication status: Published

Journal: International Journal of Materials Research

Year: 2008

Volume: 99

Issue: 8

Pages: 852-857

Print publication date: 01/08/2008

ISSN (print): 1862-5282

ISSN (electronic):

Publisher: Carl Hanser Verlag GmbH & Co. KG


DOI: 10.3139/146.101709


Altmetrics provided by Altmetric