Characterization of the Tungsten-Steel Functionally Graded Cylinder in Elastic Region

Abstract:

This paper presents how to derive Airy stress function to obtain the thermal stresses in a tungsten-steel functionally graded solid cylinder with fixed ends in elastic region. Once Airy stress function is derived, the thermal stresses can be found due to the related equations. There is uniform heat generation inside the tungsten-steel functionally graded solid cylinder. Material properties of the functionally graded cylinder (FGC) are assumed to vary radially according to a parabolic form and assumed to be independent of the temperature. These properties are yield strength, modulus of elasticity, coefficient of thermal conduction and coefficient of thermal expansion (CTE). Poisson’s ratio is assumed to be constant as an average value between tungsten’s and steel’s. Airy stress function is derived in terms of these properties to characterize the FGC entirely.

• Periodical: Solid State Phenomena (Volume 263)
• Pages: 67-71
• DOI: https://doi.org/10.4028/www.scientific.net/SSP.263.67
• Online since: September 2017
• Authors: Ali Ozturk*
• Keywords: Airy Stress Function, Functionally Graded Material (FGM), Steel, Thermal Stress, Tungsten

References

[1] J. Matějíček, H. Boldyryeva, V. Brožek, E, Čižmárová and Z. Pala. Tungsten-steel composites and FGMs produced by hot pressing, 21st International Conference on Metallurgy and Materials METAL (2012).

DOI: 10.1016/j.fusengdes.2015.06.154

[2] J. Matějíček, B. Nevrlá, M. Vilémová and H. Boldyryeva, Overview of processing technologies for tungsten-steel composites and FGMs for fusion applications, Nukleonika, Vol. 60 (2015), pp.267-273.

DOI: 10.1515/nuka-2015-0049

[3] M. Rieth, J.L. Boutard, S.L. Dudarev et al, Review on the EFDA programme on tungsten materials technology and science, Journal of Nuclear Materials, Vol. 417, (2011), pp.463-467.

[4] Y.Z. Ma, Q.S. Cai, W.S. Liu, S.H. Liu, Microstructure and mechanical properties of brazed tungsten/steel joint for divertor applications, Materials Science Forum, Vol. 789, (2014), pp.384-390.

DOI: 10.4028/www.scientific.net/msf.789.384

[5] Z.X. Wang, Y.Z. Ma, W.S. Liu, S.H. Liu, Q.S. Cai, Investigation of tungsten/steel brazing using nb interlayer, Materials Science Forum, Vol. 817, (2015), pp.27-34.

DOI: 10.4028/www.scientific.net/msf.817.27

[6] S. Topal, M. Gulgec, Thermal stress analysis of an FGM cylinder under the effect of convection and radially varying temperature distribution, Materials Science Forum, Vols. 631-632, (2010), pp.23-28.

DOI: 10.4028/www.scientific.net/msf.631-632.23

[7] A. Ozturk and M. Gulgec, Elastic–plastic stress analysis in a long functionally graded solid cylinder with fixed ends subjected to uniform heat generation, International Journal of Engineering Science, Vol. 49, (2011), pp.1047-1061.

DOI: 10.1016/j.ijengsci.2011.06.001

[8] A. Ozturk, M. Gulgec, Analytical solution of thermal stresses in a functionally graded solid cylinder within parabolic continuous grading, Applied Mechanics and Materials, Vol. 307, (2013), pp.364-367.

DOI: 10.4028/www.scientific.net/amm.307.364

[9] M.M. Gasik, Micromechanical modeling of functionally graded materials, Computational Materials Science, Vol. 13, (1998), pp.42-55.

DOI: 10.1016/s0927-0256(98)00044-5

[10] A.M. Howatson, P.G. Lund and J.D. Todd, Engineering Tables and Data, (1972), p.41.

[11] J.M. Missiaen, J.J. Raharijaona, A. Antoni, C. Pascal, M. Richou, P. Magaud, Design of a W/steel functionally graded material for plasma facing components of DEMO, Journal of Nuclear Materials, Vol. 416, (2011), pp.262-269.

DOI: 10.1016/j.jnucmat.2011.05.054

[12] P. Fernandez, A.M. Lancha, J. Lapena, M. Serrano, and M. Hernandez-Mayoral, Reduced Activation Ferritic/Martensitic Steel Eurofer 97 as Possible Structural Material for Fusion Devices. Metallurgical Characterization on As-Received Condition and after Simulated Services Conditions (No. CIEMAT-1048), Centro de Investigaciones Energeticas, (2004).

DOI: 10.1016/s0920-3796(01)00563-4

[13] R.C. Hibbeler, Mechanics of Materials, 5th ed., Prentice Hall, New Jersey, (2003).

[14] C.T. Wang, Applied Elasticity, McGraw-Hill Book Company, New York, (1953), p.73.