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    Application of activated barrier hopping theory to viscoplastic modeling of glassy polymers

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    Sweeney_Mechanics_of_Time-Dependent_Materials.pdf (3.552Mb)
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    Publication date
    2018-05
    Author
    Sweeney, John
    Spencer, Paul E.
    Vgenopoulos, Dimitrios
    Babenko, Maksims
    Boutenel, F.
    Caton-Rose, Philip D.
    Coates, Philip D.
    Keyword
    Polymer; Viscoplastic; Constitutive model; Finite element analysis
    Rights
    © The Author(s) 2017. This article is published with open access at Springerlink.com This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
    Peer-Reviewed
    Yes
    
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    Abstract
    An established statistical mechanical theory of amorphous polymer deformation has been incorporated as a plastic mechanism into a constitutive model and applied to a range of polymer mechanical deformations. The temperature and rate dependence of the tensile yield of PVC, as reported in early studies, has been modeled to high levels of accuracy. Tensile experiments on PET reported here are analyzed similarly and good accuracy is also achieved. The frequently observed increase in the gradient of the plot of yield stress against logarithm of strain rate is an inherent feature of the constitutive model. The form of temperature dependence of the yield that is predicted by the model is found to give an accurate representation. The constitutive model is developed in two-dimensional form and implemented as a user-defined subroutine in the finite element package ABAQUS. This analysis is applied to the tensile experiments on PET, in some of which strain is localized in the form of shear bands and necks. These deformations are modeled with partial success, though adiabatic heating of the instability causes inaccuracies for this isothermal implementation of the model. The plastic mechanism has advantages over the Eyring process, is equally tractable,and presents no particular difficulties in implementation with finite elements.
    URI
    http://hdl.handle.net/10454/13600
    Version
    Published version
    Citation
    Sweeney J, Spencer PE, Vgenopoulos D et al (2017) Application of activated barrier hopping theory to viscoplastic modelling of glass polymers. Mechanics of Time-Dependent Materials. 22(2): 145-165.
    Link to publisher’s version
    http://dx.doi.org/10.1007/s11043-017-9369-5
    Type
    Article
    Collections
    Engineering and Informatics Publications

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