SUPERPOSED DEFORMATIONS IN NONLINEAR VISCOELASTICITY.
Abstract
A short review is given of the Green-Rivlin theory of nonlinear materials with memory. Small viscoelastic deformation following instantaneous finite elastic response is analysed by linearization of the added viscoelastic deformation. Incompressible, initially isotropic materials are considered. Such an approach can simplify the analysis of the technologically important problem of stress analysis following sudden loading, which does not fall within the scope of the more common perturbation about a steady or equilibrium strain configuration. The method is applied to the problem of simple tension of a nonlinear viscoelastic rod. It is then shown how the material behavior, in the form of the kernel functions of the linearized constitutive equation, may be determined by a series of two-step simple relaxation tests. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1964
- Accession Number
- AD0603565
Entities
People
- E. H. Lee
- E. J. Appleby
Organizations
- Stanford University