Impact problem for the quasi-linear viscoelastic standard solid model

TL;DR

This paper investigates the impact problem within Fung's quasi-linear viscoelastic model, focusing on the standard solid model, and provides numerical simulations illustrating the effects of various parameters.

Contribution

It introduces an analysis of the impact problem for the standard solid model in quasi-linear viscoelasticity, including limit cases and numerical results.

Findings

Numerical simulations demonstrate parameter effects on impact response.

Limit cases recover Maxwell and Kelvin-Voigt models.

The study advances understanding of impact behavior in viscoelastic materials.

Abstract

The one-dimensional impact problem in the case of Fung's quasi-linear viscoelastic model is studied for the relaxation function of the standard solid model (or Zener model). At that, quasi-linear viscoelastic Maxwell and Kelvin-Voigt models are recovered as limit cases. The results of numerical simulations for some illustrative values of the dimensionless problem parameters are presented.