Study on Spins and Deformation Rate of Solid Circular Shafts at Finite Torsion Deformation
Torsion experiments should be adopted to characterize large strain elasto-plastic behavior of material instead of traditional uni-axial tension experiments due to the plastic stability of specimen in torsion deformation. Study on spins and deformation rate in finite torsion deformation is the key to determine the material parameters by torsion experiments and understand the finite deformation characteristics of material. In this paper, five spins and deformation rate in torsion deformation with solid circular shafts are investigated in cylinder coordinates. The expressions of the deformation rate and spins, namely the material spin, the relative spin, the spin of the frame of the deformation rate, logarithmic spin and instantaneous spin considering the effect of stress, are deduced by analyzing the finite torsion deformation. The comparisons are made among all spins obtained in this paper. The results obtained in this paper are the basis of analyzing the large strain constitutive relationship based on torsion experiments with solid circular shafts.
A. Saimoto and M.H. Aliabadi
L. H. Yang et al., "Study on Spins and Deformation Rate of Solid Circular Shafts at Finite Torsion Deformation", Key Engineering Materials, Vols. 452-453, pp. 73-76, 2011