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Modeling nonlinear viscoelasticity in polymers for design using finite element analysis
Author(s) -
Dean G.D.,
McCartney L.N.,
Mera R.,
Urquhart J.M.
Publication year - 2011
Publication title -
polymer engineering and science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.503
H-Index - 111
eISSN - 1548-2634
pISSN - 0032-3888
DOI - 10.1002/pen.21993
Subject(s) - viscoelasticity , materials science , creep , finite element method , nonlinear system , stress (linguistics) , deformation (meteorology) , structural engineering , composite material , shear (geology) , compression (physics) , stress–strain curve , ultimate tensile strength , engineering , linguistics , philosophy , physics , quantum mechanics
A nonlinear viscoelastic model is described that can predict the time‐dependent deformation of a polymer under a multiaxial stress. The main material property requirements are tensile creep compliances over a suitable time range and at different stress levels over which creep behavior is nonlinear. Some creep data under uniaxial compression are also required. Relationships are derived between multiaxial stress and strain components for arbitrary stress or strain histories. The model has been coded into a finite element system to enable stress analyses to be carried out on objects of complex geometry. The validity of the model is explored through comparisons of predicted and measured results from a test that is designed to produce a predominantly shear stress state in the gauge region of the specimen. Results are presented for loadings under constant stress and constant deformation rate. POLYM. ENG. SCI., 2011. © 2011 Society of Plastics Engineers