Characterization of Elastoplastic Properties Based on Inverse Analysis and Finite Element Modeling of Two Separate Indenters

[+] Author and Article Information
Chaiwut Gamonpilas

 National Metal and Materials Technology Center (MTEC), 114 Paholyothin Road, Pathumthani 12120, Thailand; Department of Mechanical Engineering, Imperial College London, London SW7 2AZ, UKchaiwutg@mtec.or.th

Esteban P. Busso

Centre des Matériaux, UMR-CNRS 7633,  Ecole des Mines de Paris, Paris, France

J. Eng. Mater. Technol 129(4), 603-608 (Dec 15, 2006) (6 pages) doi:10.1115/1.2744428 History: Received August 22, 2006; Revised December 15, 2006

A method that can determine uniquely the elastoplastic properties from indentation loading and unloading curves has been developed. It is based on finite element modeling and inverse analysis of two separate indenters. The approach was validated by numerical experiments using a fictitious material. It was demonstrated that the proposed method can uniquely recover the elastoplastic properties using only indentation load-displacement curves of two indenters. Although the proposed procedure has been used to predict elastoplastic strain hardening behavior, it is also applicable to estimate other mechanical properties where there are more than two unknown parameters, such as rate-dependent behavior.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Schematic illustration of an indentation on a substrate using (a) a conical indenter and (b) a spherical indenter

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Figure 2

Typical indentation curve for a ductile material

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Figure 3

Finite element mesh for a conical indentation problem (a) overall and (b) near the contact region mesh (note that an identical mesh is used for the spherical indentation)

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Figure 4

Flow chart for the proposed inverse analysis procedure to determine the mechanical properties of the substrate material from indentation data

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Figure 5

Indentation load as a function of material parameters σy and n at indentation depth of 0.1μm

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Figure 6

A loading curve of a fictitious material described by Eq. 1 with σy=800MPa and n=8, and the data points used in the inverse analysis for the case of a single indenter procedure

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Figure 7

Converging trends of seven different initial guess values of n and σy (values in parentheses are (n,σy))

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Figure 8

Simulated indentation loading curves for three predicted materials properties using a conical indenter

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Figure 9

Contour plots of von Mises equivalent stress corresponding to the maximum indentation depth h=hm for three materials: (a)σy=565MPa and n=3, (b)σy=765MPa and n=7, and (c)σy=800MPa and n=10

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Figure 10

Converging trends of seven different initial guess values when using the double indenter procedure

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Figure 11

Comparison of the simulated indentation data with predicted FE solutions obtained from the double indenter procedure




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