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Lookup NU author(s): Dr Jinju Chen, Professor Steve BullORCiD
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Existing indentation models (both analytical models and numerical analysis) show a linear relationship between δr/ δm and H/Er, where δr and δm are the residual and maximum indentation depth, and Er and H are the reduced Young's modulus and hardness of the test material. Based on the analysis of Oliver and Pharr, a new relationship between δr/δm and H/Er has been derived in a different way without any additional assumptions, which is nonlinear, and this has been verified by finite element analysis for a range of bulk materials. Furthermore, this new relationship for residual depth is used to derive an analytical relationship for the radius of the plastic deformation zone Rp in terms of the residual depth, Young's modulus, and hardness, which has also been verified by finite element simulations for elastic perfectly plastic materials with different work hardening behavior. The analytical model and finite element simulation confirms that the conventional relationship used to determine Rp developed by Lawn et al. overestimates the plastic deformation, especially for those materials with high E/H ratio. The model and finite element analysis demonstrate that Rp scales with δr, which is sensible given the self-similarity of the indentations at different scales, and that the ratio of Rp/ δr is nearly constant for materials with different E/H, which contradicts the conventional view. © 2006 Materials Research Society.
Author(s): Chen J, Bull SJ
Publication type: Article
Publication status: Published
Journal: Journal of Materials Research
Year: 2006
Volume: 21
Issue: 10
Pages: 2617-2627
Print publication date: 01/10/2006
ISSN (print): 0884-2914
ISSN (electronic): 1092-8928
Publisher: Materials Research Society
URL: http://dx.doi.org/10.1557/jmr.2006.0323
DOI: 10.1557/jmr.2006.0323
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