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Relationships between the work recovery ratio of indentation and plastic parameters for instrumented spherical indentation

Published online by Cambridge University Press:  23 March 2015

Chang Yu
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Rong Yang
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Yihui Feng
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Yong Huan
Affiliation:
State Key Laboratory of Nonlinear Mechanics (LNM), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China
Guangjian Peng
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
Taihua Zhang*
Affiliation:
College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou 310014, China
*
Address all correspondence to Taihua Zhang atzhangth@zjut.edu.cn
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Abstract

This paper aims to obtain an analytical expression for the ratio of unloading work of indentation (Wu) to total loading work of indentation (Wt) (work recovery ratio of indentation) in instrumented spherical indentation. The expanding cavity model and Lamé solution are used. Three typical stress–strain relations (elastic-perfectly plastic, linear hardening, and power-law hardening) are analyzed. The results of finite-element method coincide with the expressions. The expressions show that the work recovery ratio of indentation is just related to plastic parameters. Furthermore, elastic work (We) are obtained, and it is proved that We should be distinguished from Wu in spherical indentation.

Type
Research Letters
Copyright
Copyright © Materials Research Society 2015 

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