FORMULATION OF DEFORMATION BEHAVIOUR OF SOFTENED CELLULOID UNDER PROPORTIONAL LOADING BASED ON NON-LINEAR VISCOELASTIC THEORY

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Recently, a non-linear viscoelastic theory was developed by extending the conventional linear viscoelastic theory. Especially, Ilyushin has proposed a principal quasi-linear viscoelastic theory in which multiple integral representation in the on-linear theory is rationally modified into a single integral one for convenience of evaluation. This theory is thus promising for analysis of the elastic-viscoplastic behaviour of high-polymer. In the present paper, for investigating the applicability of this theory instead of the constitutive equation hither-to use in the photo-rheologic stress analysis, a simple case of this theory was discussed comparing with results obtained from an experiment on a thin-walled tube of softened celluloid under torsion. As the result, the principal third-order viscoelasitc theory was found applicable to approximation of the experimental result with the same accuracy as with the constitutive equation hither-to used. It was also found that every stress-strain curve for combined loadings of torsion and tension could be transformed into that for the corresponding pure torsion, by modifying the stress space with consideration of invariants of stress tensor.
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