Numerical implementation of the Leonov model

Abstract eng:
The Leonov model, where the Eyring flow model is used to represent the plastic shear rate of the deformation of a material, appears to be a proper choice for the description of non-linear viscoelastic behavior of polymers. This paper outlines formulations of the generalized Leonov model and presents possible approaches to numerical implementation of this constitutive law. A fully explicit method based on forward Euler integration is known to suffer from numerical instabilities, which can only be prevented by taking very short time steps. To eliminate this restriction, a fully implicit method (backward Euler integration), where the solution was established employing the Newton-Raphson iteration method, was developed. Both methods are compared and verified by simulation of a uni-axial test of the PR100/2+EM100E epoxy resin.

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