<title>Analysis of damping in finite shearing and torsional deformations</title>

Abstract

We use two constitutive relations to analyze finite simple shearing, simple extensional and torsional deformations of a viscoelastic body. One of these constitutive relations is a linear relationship between the second Piola-Kirchhoff stress tensor and the history of the rate of change of the Green-St. Venant strain tensor. The other is a linear relationship between the Cauchy stress tensor and the rate of change of the relative Green-St. Venant strain tensor. It is found that only predictions from the latter constitutive relation agree with the test findings. This constitutive relation is used to analyze damping in steady state torsional oscillations of a cylinder, and slow finite shearing deformations of a constrained viscoelastic layer.