Stress Analysis for a Nonlinear Viscoelastic Compressible Cylinder

Real solids are not incompressible, although many viscoelastic materials which undergo large deformations show only small changes in volume under ordinary loading conditions. This paper is concerned with a pressurized isotropic viscoelastic hollow cylinder bonded to an elastic casing in which, during a finite deformation, the dilatational change in any element of the cylinder is a small quantity. The analysis is based in part upon the theory of small deformations superposed on finite deformations. Numerical calculations are evaluated by using finite-difference techniques and assuming particular forms of kernel functions in the stress-strain relation. The results for compressible and incompressible materials are compared.

On Elastic Filament Reinforcement of a Viscoelastic Cylinder

The strengthening of a hollow viscoelastic cylinder by elastic, helically wound, reinforcing wires is considered. The theoretical basis for stress analysis is developed, and applied to the cylinder subjected to internal pressure and additionally supported by an elastic casing on the exterior cylindrical surface. Solutions for various choices of parameters are evaluated, and the variation of the resulting stress fields is discussed. The conclusions include the importance of varying the density of the distribution of reinforcing wires for maximum effectiveness.