On Some Steady-state Moving Boundary Problems in the Linear Theory of Viscoelasticity

Publisher Website
Google Scholar
Abstract
Three steady-state moving boundary problems in the linear theory of viscoelasticity are considered when the inertia terms are taken into account. Attention is directed to the dimensionless parameter ε = Vτ/L where V is the speed of the boundary, τ is the relaxation time of the medium, and L is a length associated with the geometry of the problem. When ε is small the problems are recognized as having a singular perturbation character and the method of matched asymptotic expansions is used. The problems are (i) a semi-infinite crack moving steadily in a clamped viscoelastic strip, (ii) a finite length crack moving in an infinite viscoelastic medium, and (iii) a steady rolling cylinder on a visco-elastic half-space.

This publication has 0 references indexed in Scilit: