Multiscale computational evaluation of elasto-viscoplastic deformation behavior of amorphous polymer containing microscopic heterogeneity during uniaxial tensile test

Makoto Uchida, Naoya Tada

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3 Citations (Scopus)


The two-scale elasto-viscoplastic deformation behavior of amorphous polymer was investigated using the large deformation finite element homogenization method. In order to enable a large time increment for the simulation step in the plastic deformation stage, the tangent modulus method is introduced into the nonaffine molecular chain network theory, which is used to represent the deformation behavior of pure amorphous polymer. Two kinds of heterogeneous microstructures were prepared in this investigation. One was the void model, which contains uniformly or randomly distributed voids, and the other was the heterogeneous strength (HS) model, which contains a distribution of initial shear strength. In the macroscopic scale, initiation and propagation processes of necking during uniaxial tension were considered. The macroscopic nominal stressstrain relation was strongly characterized by the volume fraction and distribution of voids for the void model and by the width of the strength distribution for the HS model. Non-uniform deformation behaviors in microscopic and macroscopic scales are closely related to each other for amorphous polymers because continuous stretching and hardening in the localized zone of the microstructure brings about an increase in macroscopic deformation resistance. Furthermore, computational results obtained from the homogenization model are compared to those obtained from the full-scale finite element model, and the effect of the scale difference between microscopic and macroscopic fields is discussed.

Original languageEnglish
Pages (from-to)235-255
Number of pages21
JournalJournal of Multiscale Modeling
Issue number3-4
Publication statusPublished - Sep 1 2010



  • Two-scale
  • amorphous polymer
  • homogenization method
  • non-uniform deformation
  • tangent modulus method

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications

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