Hereditary kernel identification method of nonlinear polymeric viscoelastic materials

TL;DR

This paper presents a method to identify hereditary kernels in nonlinear polymeric viscoelastic materials using experimental data and spline approximations, enhancing the understanding of their time-dependent behavior.

Contribution

It introduces a novel approach for determining viscoelastic parameters of nonlinear polymeric materials through spline approximation and weighted residual methods.

Findings

Derived formulas for viscoelastic parameter determination.

Applied spline functions to approximate experimental kernel data.

Validated the method with experimental data on polymeric composites.

Abstract

This paper deals with a polymeric matrix composite material. The matrix behaviour is described by the modified Rabotnov's nonlinear viscoelastic model assuming the material is nonlinear viscoelastic. The parameters of creep and stress-relaxation kernels of the model are determined. From the experimental data related to kernels approximated by spline functions and by means of the method of weighted residual, the formulas for the determination of viscoelastic parameters are derived.