Em. Arruda et Mc. Boyce, EVOLUTION OF PLASTIC ANISOTROPY IN AMORPHOUS POLYMERS DURING FINITE STRAINING, International journal of plasticity, 9(6), 1993, pp. 697-720
The large strain deformation response of amorphous polymers results pr
imarily from orientation of the molecular chains within the polymeric
material during plastic straining. Molecular network orientation is a
highly anisotropic process, thus the observed mechanical response is s
trongly a function of the anisotropic state of these materials. Throug
h mechanical testing and material characterization, the nature of the
evolution of molecular orientation under different conditions of state
of strain is developed. The role of developing anisotropy on the mech
anical response of these materials is discussed in the context of asse
ssing the capabilities of several models to predict the state of defor
mation-dependent response. A three-dimensional rubber elasticity sprin
g system that is capable of capturing the state of deformation depende
nce of strain hardening is used to develop a tensorial internal state
variable model of the evolving anisotropic polymer response. This full
y three-dimensional constitutive model is shown to be successfully pre
dictive of the true stress vs. true strain data obtained in our isothe
rmal uniaxial compression and plane strain compression experiments on
amorphous polycarbonate (PC) and polymethylmethacrylate (PMMA) at mode
rate strain rates. A basis is established for providing the polymer de
signer with the ability to predict the flow strengths and deformation
patterns of highly anisotropic materials. A companion paper by ARRUDA,
BOYCE, and QUINTUS-BOSZ [in press] shows how the model developed here
in is used to predict various anisotropic aspects of the large strain
mechanical response of preoriented materials. Additional work has been
done to extend the model to include the effects of strain rate and te
mperature in ARRUDA, JAYACHAN-DRAN, and BOYCE [in press].