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Uniqueness of reverse analysis from conical indentation tests

Published online by Cambridge University Press:  03 March 2011

K.K. Tho
Affiliation:
Department of Civil Engineering, National University of Singapore, Singapore 119260
S. Swaddiwudhipong
Affiliation:
Department of Civil Engineering, National University of Singapore, Singapore 119260
Z.S. Liu
Affiliation:
Institute of High Performance Computing, 1 Science Park Road, #01-01, Singapore 117528
K. Zeng
Affiliation:
Institute of Material Research and Engineering, 3 Research Link, Singapore 117602
J. Hua
Affiliation:
Department of Civil Engineering, National University of Singapore, Singapore 119260
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Abstract

The curvature of the loading curve, the initial slope of the unloading curve, and the ratio of the residual depth to maximum indentation depth are three main quantitiesthat can be established from an indentation load-displacement curve. A relationship among these three quantities was analytically derived. This relationship is valid for elasto-plastic material with power law strain hardening and indented by conical indenters of any geometry. The validity of this relationship is numerically verified through large strain, large deformation finite element analyses. The existence of an intrinsic relationship among the three quantities implies that only two independent quantities can be obtained from the load-displacement curve of a single conical indenter. The reverse analysis of a single load-displacement curve will yield non-unique combinations of elasto-plastic material properties due to the availability of only two independent quantities to solve for the three unknown material properties.

Type
Articles
Copyright
Copyright © Materials Research Society 2004

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References

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