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A Formulation of Finite Viscoplasticity for Glassy Polymers in the Logarithmic Strain Space
Author(s) -
Göktepe Serdar,
Méndez Joel,
Miehe Christian
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510111
Subject(s) - viscoplasticity , logarithm , plasticity , homogeneous , amorphous solid , space (punctuation) , glass transition , constitutive equation , materials science , mathematics , polymer , statistical physics , classical mechanics , mathematical analysis , thermodynamics , physics , finite element method , computer science , composite material , chemistry , operating system , organic chemistry
This contribution extends the recently proposed kinematical approach by Miehe et al. [4] to a constitutive formulation for elasto–visco–plastic behavior of amorphous glassy polymers below their glass transition temperature. In contrast to the existing kinematical approaches in the literature, the latter is constructed in the logarithmic strain space yielding a formulation analogous to the geometrically linear theory of plasticity in the six–dimensional space. Its analogy to a geometrically linear theory makes this formalism very attractive, especially with regard to its algorithmic implementation. Conceptually, elasto–visco–plastic model with an intrinsic non–linear kinematic hardening is considered in the logarithmic strain space. The evolution law of the plastic strains is adopted from Argon's [1] double–kink theory. The proposed formulation is validated by means of experimental data obtained from both homogeneous and non–homogeneous experiments. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)