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Non-entropic theory of rubber elasticity: flexible chains grafted on a rigid surface

A. D. Drozdov
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Abstract

The elastic response is studied of a single flexible chain grafted on a rigid plane and an ensemble of non-interacting tethered chains. It is demonstrated that the entropic theory of rubber elasticity leads to conclusions that disagree with experimental data. A modification of the conventional approach is proposed, where the end-to-end distribution function (treated as the governing parameter) is replaced by the average energy of a chain. It is revealed that this refinement ensures an adequate description of the mechanical behavior of flexible chains. Results of numerical simulation are compared with observations on uniaxial compression of a layer of grafted chains, and an acceptable agreement is shown between the model predictions and the experimental data. Based on the analysis of combined compression and shear, a novel micro-mechanism is proposed for the reduction of friction of polymer melts at rigid walls.

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A. D. Drozdov. 2004-08-22. Non-entropic theory of rubber elasticity: flexible chains grafted on a rigid surface. https://arxiv.org/abs/cond-mat/0408474

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