Abstract
A frame indifferent differential operator law relating stress, stress-rate, strain, and strain-rate is constructed to describe the qualitative features of both constant load and constant displacement rate response in uni-axial stress experiments. No lower order differential relation can describe both responses, but the two responses are not sufficient to determine the response coefficients of the relation. The jump relation is determined for a stress discontinuity applied in a general configuration. A simple initially isotropic model is proposed to investigate the effects of loading history and the anisotropy induced in a configuration following a loading-unloading cycle. Both uni-axial stress and shear cycles are treated, followed by uni-axial stress loading in different directions. The respective deformation histories are determined in the small strain approximation, and demonstrate a significant influence of the initial load cycle on response from the unloaded configuration.
Published Version
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