Use of the Fixman–Alben distribution function in the analysis of non-Gaussian rubber-like elasticity

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Abstract
A probability distribution of the end‐to‐end distance of a polymer chain obtained by Fixman and Alben and recommended particularly for short chains is employed here in the calculation of stress–strain isotherms for a polymer network in elongation. The specific systems investigated are bimodal elastomeric networks containing a large enough number of very short chains to give markedly non‐Gaussian behavior. The general shape of the experimental isotherms and its dependence on the relative numbers of very short and long chains are satisfactorily reproduced by the calculated results.

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