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Polymers 2019, 11(3), 412; https://doi.org/10.3390/polym11030412

Indentation Size Effect in Pressure-Sensitive Polymer Based on A Criterion for Description of Yield Differential Effects and Shear Transformation-Mediated Plasticity

1,2
,
3,4
,
2
and
1,*
1
Key Laboratory of E&M, Ministry of Education & Zhejiang Province, Zhejiang University of Technology, Hangzhou 310014, China
2
Zhejiang Industry Polytechnic College, Shaoxing 312000, China
3
Institute of Applied Mechanics, Taiyuan University of Technology, Taiyuan 030024, China
4
State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an 710049, China
*
Author to whom correspondence should be addressed.
Received: 29 January 2019 / Revised: 20 February 2019 / Accepted: 25 February 2019 / Published: 4 March 2019
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Abstract

Indentation size effects in poly(methyl methacrylate) (PMMA) were studied through nanoindentation. Two factors of indentation size effects in PMMA, namely yield criterion and shear transformation-mediated plasticity, were analysed in detail. The yield criterion that considers strength differential (SD) effects and pressure sensitivity was constructed by performing the combined shear-compression experiments. The relationship between hardness and normal stress can then be obtained based on Tabot’s relation. Shear transformation-mediated plasticity was also applied to model the measured hardness as a function of the indentation depth at different strain rates. Results show that the yield criterion contains the terms of SD effects and pressure sensitivity gives the best description of the yielding of PMMA. Additionally, the volume of single shear transformation zone calculated through the presented criterion agrees well with simulation and exhibits increases with increasing strain rate. Indentation size effects in PMMA under different strain rates were discussed and an appropriate indentation depth range was suggested for calculating the hardness and modulus. View Full-Text
Keywords: Pressure-sensitive polymer; indentation size effects; SD effects; yield criterion; shear transformation-mediated plasticity Pressure-sensitive polymer; indentation size effects; SD effects; yield criterion; shear transformation-mediated plasticity
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Lin, H.; Jin, T.; Lv, L.; Ai, Q. Indentation Size Effect in Pressure-Sensitive Polymer Based on A Criterion for Description of Yield Differential Effects and Shear Transformation-Mediated Plasticity. Polymers 2019, 11, 412.

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