On axisymmetric deformations of nonlinear viscoelastic membranes

On Axisymmetrjc Deformations of Nonlinear Viscoelastic Membranes

In previous work it was shown that a class of axisymmetric viscoelastic membrane problems can be reduced to the numerical solution of a system of partial differential-Volterra integral equations. This general method has the disadvantage that a change in constitutive equation requires rederivation of specific details of the governing system. In this paper, a revised method is presented in which ...

On nonlinear viscoelastic deformations: a reappraisal of Fung's quasi-linear viscoelastic model

This paper offers a reappraisal of Fung's model for quasi-linear viscoelasticity. It is shown that a number of negative features exhibited in other works, commonly attributed to the Fung approach, are merely a consequence of the way it has been applied. The approach outlined herein is shown to yield improved behaviour and offers a straightforward scheme for solving a wide range of models. Resul...

Nonlinear axisymmetric deformations of an elastic tube under external pressure

Dynamics of viscoelastic membranes.

We determine both the in-plane and out-of-plane dynamics of viscoelastic membranes separating two viscous fluids in order to understand microrheological studies of such membranes. We demonstrate the general viscoelastic signatures in the dynamics of shear, bending, and compression modes. We show that these modes remain independent in the presence of hydrodynamic interactions. The full response ...

On the Geometrically Nonlinear Analysis of Composite Axisymmetric Shells

Composite axisymmetric shells have numerous applications; many researchers have taken advantage of the general shell element or the semi-analytical formulation to analyze these structures. The present study is devoted to the nonlinear analysis of composite axisymmetric shells by using a 1D three nodded axisymmetric shell element. Both low and higher-order shear deformations are included in the ...