Papers by Keyword: Torsion Experiment

Abstract: The elastic-plasticity of the titanium alloy material has certain effect on the stability of the milling system. When the material is incompressible, the curve and the simple tensile curve are the same, and the material’s curve and the one-way shear’s curve are also the same. This may be called single curve theory. This paper is, under simple loading conditions, gets the data in the titanium alloy’s tensile experiment and torsion experiment. It studies the constitutive relation in the state of the multidimensional stress and the strain, by the material data obtained in the simple tensile experiment and torsion experiment according to the single curve theory. In the simple loading condition, it obtains the data of the titanium alloy’s tensile experiment and torsion experiment, and then gets the titanium alloy’s incremental constitutive relation, and by integration, it gets the constitutive relation of the titanium alloy’s total strain theory.

Abstract: In this paper, a finite strain constitutive model was proposed by the additive decomposition of the logarithmic strain rate and the generalization of small deformation constitutive model and a complete analysis was made for an isotropic hardening J2 flowing finite strain constitutive model based on torsion experiments. Logarithmic strain and Jaumann stress rate were discussed in solid circular shaft torsion deformation. Utilizing the results obtained from solid circular shaft torsion experiments, the plastic rigidity function in constitutive model was determined. The simple shear problem was studied by using the constitutive model given in this paper. The results shows that the plastic rigidity function corresponding to logarithmic strain was different from one to Green strain and finite strain constitutive model should be analyzed by logarithmic strain and torsion experiments.