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A numerical study of indentation using indenters of different geometry

Published online by Cambridge University Press:  03 March 2011

Li Min
Affiliation:
Department of Flight Vehicle Design and Applied Mechanics, Beijing University of Aeronautics and Astronautics, Beijing 100083, People’s Republic of China
Chen Wei-min
Affiliation:
Division of Engineering and Scientific Research, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
Liang Nai-gang
Affiliation:
State Key Laboratory for Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
Wang Ling-Dong
Affiliation:
State Key Laboratory for Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, People’s Republic of China
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Abstract

Finite element simulation of the Berkovich, Vickers, Knoop, and cone indenters was carried out for the indentation of elastic–plastic material. To fix the semiapex angle of the cone, several rules of equivalence were used and examined. Despite the asymmetry and differences in the stress and strain fields, it was established that for the Berkovich and Vickers indenters, the load–displacement relation can closely be simulated by a single cone indenter having a semiapex angle equal to 70.3° in accordance with the rule of the volume equivalence. On the other hand, none of the rules is applicable to the Knoop indenter owing to its great asymmetry. The finite element method developed here is also applicable to layered or gradient materials with slight modifications.

Type
Articles
Copyright
Copyright © Materials Research Society 2004

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References

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