Kanwaljeet Kaur

Rheological behaviour and applicability of viscoelastic model for wave propagation in non-homogeneous polymer rods

Purpose – This purpose of this paper is to discuss certain aspects of five-parameter viscoelastic models to study harmonic waves in the non-homogeneous polymer rods of varying density. There are two sections of this paper, in first section, the rheological behaviour of the model is discussed numerically and then it is solved analytically with the help of Friedlander Series using Eikonal equation of optics. In another section, the applicability of the developed model is studied through harmonic wave propagation in polymer non-homogeneous rods. The authors have used linear partial differential equations for finding the dispersion equation of harmonic waves in the polymers. All the cases taken in this study are discussed analytically and numerically with MATLAB. Design/methodology/approach – A five-parameter viscoelastic model constituting of three dash-pots D 2(η 2), D 2′(η 2′), D 3(η 3) and two springs S 1(G 1), S 2(G 2) is considered. Where, G 1, G 2 are the modulli of elasticity and η 2, η 2′, η 3 are th...