Study on Spins and Deformation Rate of Solid Circular Shafts at Finite Torsion Deformation

Abstract:

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.

• Periodical: Key Engineering Materials (Volumes 452-453)
• Pages: 73-76
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.452-453.73
• Online since: November 2010
• Authors: Li Hong Yang, Guang Ping Zou, Xue Yi Zhang
• Keywords: Deformation Rate, Elasto-Plastic Finite Deformation, Solid Circular Shaft Torsion, Spin

References

[1] JC Nagtegaal and de Jong JE. Some Aspects of Non-isotropic Work-hardening in Finite Strain Plasticity. Proceeding of the Workshop on Plasticity of Metals at Finite Strain: Theory, Experimental and Computation. Stanford University (1981).

[2] JK. Dienes. On the Analysis of Rotation and Stress Rate in Deforming Bodies. Acta Mechanica. Vol. 32(1979), pp.217-232.

DOI: 10.1007/bf01379008

[3] Y. Wei, CH. Li and HW. Kezhi. Objective Corotational Rates and Shear Oscillation. Int. J. Plasticity. Vol. 8 (1992), pp.643-656.

[4] H. Yunzeng and Z. Guangping. Determine Finite-strain Stress-strain Relationship by Torsion Experiment with Cylindrical Specimens. Mechanics Journal. Vol. 6(2001), pp.828-833.

[5] Y. Lihong, H. Yunzeng and W. Guohui. Analysis of Large Strain Constitutive Relationship based on Torsion Experiment. Journal of Harbin Engineering University. Vol. 27(2006), pp.816-820.

[6] M. Yeganeh and R. Naghdabadi. Axial Effects Investigation in Fixed-end Circular Bars under Torsion with a Finite Deformation Model based on Logarithmic Strain. Mechanical Sciences. Vol. 48(2006), pp.75-84.

DOI: 10.1016/j.ijmecsci.2005.09.008

[7] CH. Li, HW. Kezhi. On Embedded Material Derivative and Frame Spin. Mechanics Journal. Vol. 6(1987), pp.524-528.

[8] Xiao H, Bruhns O T and Meyers A. Logarithmic Strain, Logarithmic Spin and Logarithmic Rate. Acta Mech. Vol. 124(1997), pp.89-105.

DOI: 10.1007/bf01213020