A 3-D model of cold drawing in engineering thermoplastics

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This article presents a 3-D multiplicative finite strain model for cold drawing (necking) in engineering thermoplastics. Amorphous as well as semi-crystalline polymers are considered. The notion of intermediate (local) stress-free configuration, that is associated with the multiplicative decomposition of the deformation gradient, is shown to provide an appropriate framework for the modeling and analysis of this class of materials. A hyperelastic stored energy function is written with respect to the intermediate configuration to yield the finite elastic response. It is then combined with the J 2 -flow theory to model the finite inelastic response. The constitutive integration procedure is based on a product formula algorithm with elastic-predictor/inelastic-corrector components. Numerical results are presented to show the behavior of the three dimensional model in the finite strain range.

Original languageEnglish (US)
Pages (from-to)457-469
Number of pages13
JournalMechanics of Advanced Materials and Structures
Issue number6
StatePublished - Nov 2005
Externally publishedYes

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Mathematics(all)
  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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