Viscoelastic Constitutive Laws for Ice.
Abstract
A frame indifferent tensor relation between stress, stress-rate, strain-rate and strain-acceleration is constructed to describe the response of ice to maintained constant stress and to maintained constant strain-rate in uni-axial stress. It is shown that the two types of response reflect some common properties of this viscoelastic fluid law, but that each type contains further independent features, so that both are necessary to determine the required response functions. The shape of the tensor relation cannot be determined by uni-axial response. A reduced model with response functions of single argument is constructed, and correlated with an idealised family of constant stress responses. The extent to which the reduced model can reproduce the complete response is illustrated for two families. Next a viscoelastic solid law relating stress, stress-rate, strain and strain-rate is shown to be compatible with the same uni-axial responses, but dependence on the reference configuration through strain allows a description of initial or induced anisotropy. A small strain approximation is constructed. However, this minimal form involves three independent response functions for an initially isotropic solid, and constant load and constant displacement rate responses provide only two relations.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1980
- Accession Number
- ADA096085
Entities
People
- Leslie W. Morland
- U. Spring
Organizations
- University of East Anglia