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Thermoviscoplasticity of Glassy Polymers in the Logarithmic Strain Space Based on the Free Volume Theory
Author(s) -
Schänzel LisaMarie,
Miehe Christian
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010153
Subject(s) - logarithm , plasticity , work (physics) , flow (mathematics) , materials science , strain hardening exponent , space (punctuation) , finite volume method , amorphous solid , statistical physics , mechanics , mathematics , mathematical analysis , computer science , physics , thermodynamics , composite material , chemistry , organic chemistry , operating system
Abstract In this contribution a new constitutive model of finite thermo‐visco‐plastic behavior of amorphous glassy polymers and details of its numerical implementation are outlined. In contrast to existing kinematical approaches to finite plasticity of glassy polymers, the formulation applies a plastic metric theory based on an additive split of Lagrangian Hencky‐type strains into elastic and plastic parts [1, 3]. The characteristic strain hardening of the model is derived from a polymer network model, the thermo ‐visco‐plastic flow rule in the logarithmic strain space uses structures of the free volume flow theory [4]. The integration of this micromechanically motivated approach in a three‐dimensional computational model is the key novel aspect of this work. An important aspect of this work is the model validation based on experimental findings, whereas the excellent performance of the proposed formulation is demonstrated by means of numerical examples. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)