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Modeling nanoindentation using the Material Point Method

Published online by Cambridge University Press:  25 May 2018

Chad C. Hammerquist  and
John A. Nairn Open the ORCID record for John A. Nairn [Opens in a new window]
Chad C. Hammerquist
Affiliation:
Wood Science and Engineering, Oregon State University, Corvallis, Oregon 97330, USA
John A. Nairn*
Affiliation:
Wood Science and Engineering, Oregon State University, Corvallis, Oregon 97330, USA
*
a)Address all correspondence to this author. e-mail: john.nairn@oregonstate.edu
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Abstract

A numerical nanoindentation model was developed using the Material Point Method (MPM), which was chosen because it can handle both large deformations and dynamic contact under the indenter. Because of the importance of contact, prior MPM contact methods were enhanced to improve their accuracy for contact detection. Axisymmetric and full 3D simulations investigated the effects of hardening, strain-rate dependent yield properties, and local structure under the indenter. Convergence of load–displacement curves required small cells under the indenter. To reduce computation time, we used an effective nonregular grid, called a tartan grid and describe its implementation. Tartan grids reduced simulation times by an order of magnitude. A series of simulated load–displacement curves were analyzed as “virtual experiments” by standard Oliver–Pharr methods to extract effective modulus and hardness of the indented material. We found that standard analysis methods give results that are affected by hardening parameters and strain-rate dependence of plasticity. Because these parameters are not known during experiments, extracted properties will always have limited accuracy. We describe an approach for extracting more properties and more accurate properties by combining MPM simulations with inverse methods to fit simulation results to entire load–displacement curves.

Keywords

nanoindentationsimulationhardness
Type
Article
Information
Journal of Materials Research , Volume 33 , Issue 10 , 28 May 2018 , pp. 1369 - 1381
Copyright
Copyright © Materials Research Society 2018 

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