This paper presents a micromechanics model to characterize the effective stress relaxation
stiffness of polymer composites. The linear viscoelastic behavior of polymer material was
modeled by hereditary integral. The proposed model was established based on the
variational asymptotic method for unit cell homogenization (VAMUCH). All computations
with this model were accomplished in the time domain, hence the Laplace transform and
inversion commonly used for linear viscoelastic composites are not needed in this theory.
The accuracy and efficiency of the proposed model were verified by comparing with the
results and utilization of finite element models developed using ABAQUS.
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