Effect of viscoplastic material parameters on polymer indentation

V Tvergaard, A Needleman

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

The effect of material parameters characterizing viscoplastic flow on the indentation response of polymers is investigated using three-dimensional finite element analyses and a one-dimensional expanding spherical cavity model. The polymer is characterized by a finite strain elastic–viscoplastic constitutive relation and two indenter shapes are considered; a conical indenter and a pyramidal indenter. The ability of the simpler expanding spherical cavity model to reproduce the trends obtained from the finite element solutions is assessed for both indenter shapes. Within the range of parameter variations considered, it is found that two material stress parameters characterizing the plastic flow resistance have the largest effect on the value of the indentation hardness although variations in other material parameters can lead to significant variations.
Original languageEnglish
JournalModelling and Simulation in Materials Science and Engineering
Volume20
Issue number6
Pages (from-to)Paper 065002
Number of pages15
ISSN0965-0393
DOIs
Publication statusPublished - 2012

Cite this

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Effect of viscoplastic material parameters on polymer indentation. / Tvergaard, V; Needleman, A.

In: Modelling and Simulation in Materials Science and Engineering, Vol. 20, No. 6, 2012, p. Paper 065002.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Effect of viscoplastic material parameters on polymer indentation

AU - Tvergaard, V

AU - Needleman, A

PY - 2012

Y1 - 2012

N2 - The effect of material parameters characterizing viscoplastic flow on the indentation response of polymers is investigated using three-dimensional finite element analyses and a one-dimensional expanding spherical cavity model. The polymer is characterized by a finite strain elastic–viscoplastic constitutive relation and two indenter shapes are considered; a conical indenter and a pyramidal indenter. The ability of the simpler expanding spherical cavity model to reproduce the trends obtained from the finite element solutions is assessed for both indenter shapes. Within the range of parameter variations considered, it is found that two material stress parameters characterizing the plastic flow resistance have the largest effect on the value of the indentation hardness although variations in other material parameters can lead to significant variations.

AB - The effect of material parameters characterizing viscoplastic flow on the indentation response of polymers is investigated using three-dimensional finite element analyses and a one-dimensional expanding spherical cavity model. The polymer is characterized by a finite strain elastic–viscoplastic constitutive relation and two indenter shapes are considered; a conical indenter and a pyramidal indenter. The ability of the simpler expanding spherical cavity model to reproduce the trends obtained from the finite element solutions is assessed for both indenter shapes. Within the range of parameter variations considered, it is found that two material stress parameters characterizing the plastic flow resistance have the largest effect on the value of the indentation hardness although variations in other material parameters can lead to significant variations.

U2 - 10.1088/0965-0393/20/6/065002

DO - 10.1088/0965-0393/20/6/065002

M3 - Journal article

VL - 20

SP - Paper 065002

JO - Modelling and Simulation in Materials Science and Engineering

JF - Modelling and Simulation in Materials Science and Engineering

SN - 0965-0393

IS - 6

ER -