A deformable segment model of elastomers for exploring the conformation of chains and dynamics of segments

Abstract The unique elasticity and deformability inherent in elastomers are fundamentally attributed to the conformational entropy of their polymer network, which is a key factor in revealing the complexity of the microstructure of amorphous materials. This study introduces a novel deformable segment model to investigate the conformational behavior of polymer chains and the dynamics of segments in elastomers. The model posits that the deformation of elastomers is governed by both the conformational entropy of polymer networks and the internal energy associated with deformable segments. By integrating the worm-like chain (WLC) model with a new free energy density function, the study provides a comprehensive framework for understanding the constitutive behavior of elastomers. Key contributions include the development of dynamic equations for segment vibrations, the derivation of free energy density and Cauchy stress expressions, and the analysis of strain rate effects on polymer conformations. Experimental validation using data from vulcanized natural rubber, balloon inflation tests, and rate dependent experiments demonstrates the model’s predictive accuracy. This work advances the understanding of rubber elasticity and offers a robust tool for predicting their responses under diverse deformation conditions.