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Simulation of the Fletcher-Gent effect by using of the subroutine UPHI MSC/MARC©

2026
M. Rabkin

Summary

Not relevant to microplastics research. This paper describes a finite element simulation subroutine for modeling rubber-like materials' mechanical response (the Fletcher-Gent/Payne effect)—a materials engineering topic unrelated to plastic particle pollution.

In the presented work is demonstrated one of the possible ways to implement a rheological microplastic model (Rabkin et al. 2003) into the finite element MSC/MARC, namely via the modified external user defined subroutine UPHI. The original subroutine UPHI allows to simulate the small harmonic vibrations about a preloaded state in ahyperelastic solid. Since the vibrations are described on the basis of the theory of linear viscoelasticity, the amplitude dependence of the complex stiffness (Fletcher-Gent, or the Payne effect) cannot be taken into account. The techniques to FE-implementation of the Fletcher-Gent effect within the framework of the modified subroutine UPHI are described. The practical examples of the application of the modified subroutine for evaluation of the complex stiffness and the comparison between the theoretical predictions and the experimental results are given.

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