| We introduce a new class of stochastic models for polymer stresses which has some basis in network molecular theory. The stochastic dynamics of the model involve two independent stochastic processes given by two Gaussian random vectors. Associated with each random vector is a random variable that describes the vector's survival time during which it evolves according to a deterministic equation of motion. The expression for the stress tensor is an ensemble average of the sum of two terms, one term for each random vector. The term for a given random vector is the product of a scalar function of the scalar invariant of each random vector times the dyadic product of the random vector with itself. The equivalence between this new class of models and the class of Rivlin-Sawyer integral models is indicated, and simulation models from this new class are used to predict rheological behavior of three low-density-polyethylene melts. We find that the steady-state shear data of all three melts, and the time-dependent elongational viscosity of one the melts, can be predicted well by models which are identical, except for the probability densities for the survival times which are obtained from the different relaxation spectra.
for LaTeX users @article{KFeigl1998-109,
author = {K. Feigl and H. C. \"Ottinger},
title = {A new class of stochastic simulation models for polymer stress calculation},
journal = {J. Chem. Phys.},
volume = {109},
pages = {815-826},
year = {1998}
}
\bibitem{KFeigl1998-109} K. Feigl, H.C. \"Ottinger,
A new class of stochastic simulation models for polymer stress calculation,
J. Chem. Phys. {\bf 109} (1998) 815-826.KFeigl1998-109
K. Feigl, H.C. \"Ottinger
A new class of stochastic simulation models for polymer stress calculation
J. Chem. Phys.,109,1998,815-826 |
mk@mat.ethz.ch
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