TY - JOUR
T1 - A 3-D model of cold drawing in engineering thermoplastics
AU - Masud, Arif
N1 - Funding Information:
The author wishes to thank Professor A. Chudnovsky for many helpful discussions. Partial support for this work was provided by DOW Chemical Company, and a grant from NSF-CMS # 9813386.
PY - 2005/11
Y1 - 2005/11
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=32044444302&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=32044444302&partnerID=8YFLogxK
U2 - 10.1080/15376490500259285
DO - 10.1080/15376490500259285
M3 - Article
AN - SCOPUS:32044444302
SN - 1521-0596
VL - 12
SP - 457
EP - 469
JO - Mechanics of Advanced Materials and Structures
JF - Mechanics of Advanced Materials and Structures
IS - 6
ER -