Multiscale constitutive modeling on finite strain viscoelasticity of elastomers

Abstract eng:
In this work, we present a mechanistic and physics-based constitutive model to describe and design the finite strain Viscoelastic behavior of elastomers. Mathematically, the Viscoelasticity of elastomers has been decomposed into hyperelastic and viscous parts, which are attributed to the nonlinear deformation of the cross-linked polymer network and the diffusion of free chains, respectively. Combing the non-affine network model for hyperelasticity and modified tube model for viscosity, both understood by molecular simulations, we develop a mechanism-based constitutive model for finite strain Viscoelasticity of elastomers. All the parameters in the proposed constitutive model have physical meanings, which are signatures of polymer chemistry, physics or dynamics. The finite strain Viscoelasticity obtained from our simulations agrees qualitatively with experimental data on both un—vulcanized and vulcanized rubbers, which captures the effects of cross-linking density, the molecular weight of the polymer chain and the strain rate.

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