Stress Wave Propagation in Finite Viscoelastic Thin Rod with a Constitutive Law of the Hereditary Type

摘要

The paper is concerened with stress wave propagation in a finite viscoelastic rod made of material which obeys a constitutive law of a general hereditary type. The method of perturbation about a Maxwell body solution, which was used to analyse the wave propagation in a semi-infinite rod, is extended to deal with reflections of stress fronts at both ends of the rod. A numerical illustration of propagation of stress discontinuities in a finite rod made of Polyisobutylene is included. (Author)