Two uniaxial constitutive models, a nonlinear viscoelastic (NVE) model
and a viscoplastic (VP) model, have recently been developed for time
dependent inelastic analysis of ductile polymers. This study extends t
hese models to provide a multiaxial formulation. The new multiaxial mo
dels are implemented in a general purpose finite element program, toge
ther with a conventional treatment of geometrical nonlinearity. The so
lution procedure is based on a simple explicit integration method that
is suitable for the new material models and is easy to implement. Two
example problems are studied to evaluate the performance of the new f
inite element procedure. Finite element simulations of a perforated hi
gh density polyethylene (HDPE) plate under remote uniaxial loading are
performed, and finite element model simulations of an HDPE pipe secti
on under parallel plate loading are also performed. The finite element
modelling results are then compared with the measured experimental re
sults. It is found that the finite element model provides good predict
ions of the inelastic deformation of HDPE under various loading histor
ies, including cases that involve a highly nonlinear material and geom
etrical response.