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research-article

Identification of Plastic Properties from Conical Indentation using a Bayesian-Type Statistical Approach

[+] Author and Article Information
Yupeng Zhang

Graduate Research Assistant, Department of Materials Science and Engineering, Texas A&M University, College Station, TX 77843 USA
yupeng.tamu@gmail.com

Jeffrey Hart

Professor, Department of Statistics, Texas A&M University, College Station, TX 77843 USA
hart@stat.tamu.edu

Alan Needleman

Professor, Fellow of ASME, Department of Materials Science and Engineering. Texas A&M University. College Station, TX 77843 USA
needle.tamu@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4041352 History: Received August 23, 2018; Revised August 28, 2018

Abstract

The plastic properties that characterize the uniaxial stress-strain response of a plastically isotropic material are not uniquely related to the indentation force versus indentation depth response. We consider results for three sets of plastic material properties that give rise to essentially identical curves of indentation force versus indentation depth in conical indentation. The corresponding surface profiles after unloading are also calculated. These computed results are regarded as the ``experimental'' data. A simplified Bayesian-type statistical approach is used to identify the values of flow strength and strain hardening exponent for each of the three sets of material parameters. The effect of fluctuations (``noise'') superposed on the ``experimental'' data is also considered. We build the database for the Bayesian-type analysis using finite element calculations for a relatively coarse set of parameter values and use interpolation to refine the database. A good estimate of the uniaxial stress-strain response is obtained for each material both in the absence of fluctuation and in the presence of sufficiently small fluctuations. Since the indentation force versus indentation depth response for the three materials is nearly identical, the predicted uniaxial stress-strain response obtained using only surface profile data differs little from what is obtained using both indentation force versus indentation depth and surface profile data. The sensitivity of the representation of the predicted uniaxial stress-strain response to fluctuations increases with increasing strain hardening. We also explore the sensitivity of the predictions to the degree of database refinement.

Copyright (c) 2018 by ASME
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