Creep Analysis in Anisotropic Composite Rotating Disc with Hyperbolically Varying Thickness

Abstract:

Steady state creep in a anisotropic rotating disc made of Al-SiCp composite having hyperbolically varying thickness has been investigated using Hill’s yield criterion. The creep behavior is supposed to follow the Sherby’s law in present study. The stress and strain distributions are calculated for different combinations of anisotropic constants. The change in the radial stress is not significant while the tangential stress is changed with the change in the material constants. The tangential strain rates are highest at the inner radius of the disc and then decreases towards the outer radius of the disc. The radial strain rate which is compressive in nature becomes tensile in middle of the disc for some specific values of anisotropic constants. The study reveals that the anisotropy has a significant effect on the creep behavior of rotating disc. Thus for the safe design of the rotating disc the effect of anisotropy should be taken care of.

• Periodical: Applied Mechanics and Materials (Volumes 110-116)
• Pages: 4171-4177
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.110-116.4171
• Online since: October 2011
• Authors: Vandana Gupta, Satya Bir Singh
• Keywords: Composite, Modeling, Rotating Disc, Steady Strain Creep Rate

References

[1] M Wahl, et. al., Creep tests of rotating risks at elevated temperature and comparison with theory, Journal of Applied Mechanics, 76 (1954), 225-235.

[2] O. D. Sherby, R. H. Klundt and A. K. Miller, Flow stress, subgrain size and subgrain stability at elevated temperature, Metallurgical Transactions, 8A (1977), 843-850.

DOI: 10.1007/bf02661565

[3] V.K. Arya and N.S. Bhatnagar, Creep analysis of rotating orthotropic disc, Nucl. Engrg. Des. 55 (1979) 323.

[4] P. S. Kulkarni, N. S. Bhatnagar and V. K. Arya, Creep analysis of thin-walled anisotropic cylinders subjected to internal pressure, bending and twisting, Procedings of the workshop on solid mechanics March 13-16, (1985).

[5] Jerzy Bialkiewicz, Dynamic Creep Rupture of a Rotating disc of Variable Thickness, Int. J. Mech. Sci. Vol. 28, No. 10, pp.671-681, (1986).

[6] N. S. Bhatnagar, P. S. Kulkarni and V. K. Arya, Steady State Creep of Orthotropic Rotating Discs of Variable Thickness, Nuclear Engineering and Design, vol. 91, pp.121-141, (1986).

DOI: 10.1016/0029-5493(86)90200-1

[7] Pandey, A. B., Misra, R. S. and Mahajan, Y. R. (1992)- Steady State Creep Behaviour of Silicon Carbide Particulate Reinforced Aluminium Composites, Acta. Metallurgica Materialia., 40(8), 2045-(2052).

DOI: 10.1016/0956-7151(92)90190-p

[8] S.K. Gupta, Sanjeev Sharma and Sonia Pathak, Creep transition in a thin Rotating Disc having Variable Thickness and Variable Density, Indian J. Pure appl. Math., 31(10): 1235-1248, (2000).

[9] S. B. Singh and S. Ray, Modeling the anisotropy and creep in orthotropic Al-SiC composite rotating disc, Mechanics of Materials, 34 (2002), 363-372.

DOI: 10.1016/s0167-6636(02)00132-1

[10] V. K. Gupta, S. B. Singh, H. N. Chandrawat, and S. Ray. Creep in an isotropic rotating disc of Al − Sicp composites. Indian J. pure appl. Math., Vol. 34 (12) (2003), pp.1797-1807.

[11] V. K. Gupta et. al., Steady state creep and material parameters in a rotating disc of Al-SiCp composite, European Journal of Mechanics A/Solids, 23 (2004), 335-344.

DOI: 10.1016/j.euromechsol.2003.11.005

[12] S. B. Singh, One parameter model for creep in a whisker reinforced anisotropic rotating disc of Al-SiCw composite, European Journal of Mechanics A/Solids, 27(4) (2008), 680-690.

DOI: 10.1016/j.euromechsol.2007.11.004

[13] N. Chamoli, Minto Rattan and S.B. Singh, Effect of Anisotropy on the Creep of a Rotating Disc of Al-SiCp Composite. Indian J. Contemp. Math. Sciences, Vol. 5 ( 2010) no. 11, 509 – 516.