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Limit analysis-based approach to determine the material plastic properties with conical indentation

Published online by Cambridge University Press:  01 April 2006

Nagahisa Ogasawara ,
Norimasa Chiba  and
Xi Chen
Nagahisa Ogasawara
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027-6699; and Department of Mechanical Engineering, National Defense Academy, Hashirimizu, Yokosuka 239-8686, Japan
Norimasa Chiba
Affiliation:
Department of Mechanical Engineering, National Defense Academy, Hashirimizu, Yokosuka 239-8686, Japan
Xi Chen*
Affiliation:
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, New York 10027-6699
*
a) Address all correspondence to this author. e-mail: xichen@civil.columbia.edu
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Abstract

Representative strain plays an important role in indentation analysis; by using the representative strain and stress, the normalized indentation load becomes a function of one variable, which facilitates the reverse analysis of obtaining the material plastic properties. The accuracy of such function is critical to indentation analysis. Traditionally, polynomial functions are used to fit the function, which does not incorporate correct elastic/plastic limits and has no physical basis. In this paper, we have proposed a new limit analysis-based functional formulation based on the theoretical solutions of conical/wedge indentation on elastic and rigid plastic solids. It is found that both limits agree well with numerical results, and the new approach involves no—or at most one—fitting parameter, which can be obtained with much less effort compare with the traditional polynomial approach. Reverse analyses on five different materials have shown that the new and simple limit analysis-based formulation works better than the traditional polynomial fit. The new technique may be used to quickly and effectively measure material plastic properties for any conical indenter if the elastic modulus is known a priori.

Keywords

Elastic propertiesHardnessStress/strain relationship
Type
Articles
Information
Journal of Materials Research , Volume 21 , Issue 4 , April 2006 , pp. 947 - 957
Copyright
Copyright © Materials Research Society 2006

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