Molecular modeling of the elastic and photoelastic properties of crosslinked polymer networks: A statistical segment approach (original) (raw)

1998

Abstract

The freely orienting model of a polymer chain is generalized by considering the distribution of vector lengths and polarizabilities of the statistical segments in the chain. These distributions for a statistical segment have been computed for polyethylene and poly(cis-isoprene) by using Flory's RIS (Rotational Isomeric States) approximation and Denbigh's bond polarizabilities. Two methods, based on distributions of finite chains of freely orienting constant length segments, are used to compute the chain length distribution from the length distribution of statistical segments, (i) an exact method, adopting Chandrasekhar's approach of Fourier transforms of segment vector distributions, and (ii) an alternative approach, based on the generalization of James' and Guth's expression for work of chain deformation. Using the computationally more viable latter approximation, the moments of the chain vector length distributions and chain polarizability are determined f...

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