Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio

Mehmet Eker; Durmuş Yarımpabuç; Kerimcan Çelebi

doi:10.26701/ems.360134

Research Article

Year 2018, Volume: 2 Issue: 2, 52 - 59, 20.06.2018

Mehmet Eker Durmuş Yarımpabuç Kerimcan Çelebi

https://doi.org/10.26701/ems.360134

Cited By: 9

Abstract

References

Koizumi, M. (1997). FGM activities in Japan. Composites Part B: Engineering, vol. 28, p. 1-4, DOI:10.1016/S1359-8368(96)00016-9.
Aydin, M. (2014). Ballistic impact behaviors of functionally graded sandwich plates. Erciyes University, Graduate School of Natural and Applied Sciences, PhD Thesis, p. 129.
Timoshenko, S. P., Goodier, J. N. (1970). Therory of Elasticity. McGraw- Hill, New York.
Güven U., Baykara C. 2001. On stress distributions in functionally graded isotropic spheres subjected to internal pressure, Mechanic Research Communications, 28(3), 277-281, DOI:10.1016/s0093-6413(01)00174-4.
Tütüncü, N., Öztürk, M. (2001). Exact solutions for stresses in functionally graded pressure vessels. Composites Part B: Engineering, vol. 32, no. 8, p. 683-686, DOI: 10.1016/s1359-8368(01)00041-5.
You, L.H., Zhang, J.J., You, X.Y. (2005). Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials. International Journal of Pressure Vessels and Piping, vol. 82, no 5, p. 347-354, DOI: 10.1016/j.ijpvp.2004.11.001s.
Tütüncü, N. (2007). Stresses in thick-walled FGM cylinders with exponentially-varying properties. Engineering Structures, vol. 29, no. 9, p. 2032-2035, DOI: 10.1016/j.engstruct.2006.12.003.
Yontar, O., Çelik, U., Keleş, İ. (2017). The effect of Inhomogeneity Parameters in Non-Homogenous (FGM) Spherical Pressure Vessels. XVIII. National Mechanic Congress, Celal Bayar University, Manisa-Türkiye, 26-30 August.
Chen, Y.Z., Lin, X.Y., Zhang, J.J., You, X.Y. (2008). Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials. Computational Materials Science, vol. 44, no. 2, p. 581-587, DOI:10.1016/j.commatsci.2008.04.018.
Eraslan, A.N., Akış, T. (2015). Analytical Solutions to Elastic Functionally Graded Cylindrical And Spherical Pressure Vessels. Journal of Multidisciplinary Engineering Science and Technology, vol. 2, no 10, p. 2687-2693.
Li, X.F., Peng, X.L., Kang, Y.A. (2009). Pressurized hollow spherical vessels with arbitrary radial nonhomogeneity. AIAA Journal, vol. 47, no. 9, p. 2262-2266, DOI:10.2514/1.41995.
Tütüncü, N., Temel, B. (2009). A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, vol. 91, no.3, p. 385-390, DOI:10.1016/j.compstruct.2009.06.009.
Chen, Y.Z., Lin, X.Y. (2010). An alternative numerical solution of thick-walled cylinders and spheres made of functionally graded materials. Computational Materials Science, vol. 48, no. 3, p. 640-647, DOI:10.1016/j.commatsci.2010.02.033.
Nie, G.J., Zhong, Z., Batra, R.C. (2011). Material tailoring for functionally graded hollow cylinders and spheres. Composites Science and Technology, vol. 71, no. 5, p. 666-673, DOI:10.1016/j.compscitech.2011.01.009.
Nejad, M.Z., Abedi, M., Lotfian, M.H., Ghannad, M. (2012). An exact solution for stresses and displacements of pressurized FGM thick-walled spherical shells with exponential-varying properties. Journal of Mechanical Science and Technology, vol. 26, no. 12, p. 4081-4087, DOI:10.1007/s12206-012-0908-3.
Karami, K., Abedi, M., Nejad, M.Z., Lotfian, M.H. (2012). Elastic analysis of heterogeneous thick-walled spherical pressure vessels with parabolic varying properties. Frontiers of Mechanical Engineering, vol. 7, no. 4, p. 433-438, DOI:10.1007/s11465-012-0336-1.
Khoshgoftar, M. J., Rahimi, G.H., Arefi, M. (2013). Exact solution of functionally graded thick cylinder with finite length under longitudinally non-uniform pressure. Mechanics Research Communications, vol. 51, p. 61-66, DOI:10.1016/j.mechrescom.2013.05.001.

Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio

Year 2018, Volume: 2 Issue: 2, 52 - 59, 20.06.2018

Mehmet Eker Durmuş Yarımpabuç Kerimcan Çelebi

https://doi.org/10.26701/ems.360134

Cited By: 9

Abstract

Functionally graded materials (FGM) are advanced composite materials whose mechanical properties vary continuously from one surface to another at macro level. Thick walled annular structures are widely used in industry as nuclear reactors, long pipes used for carrying gases/oil, pressure vessels etc. Elastic analysis of FG thick-walled cylindrical and spherical pressure vessels subjected to internal pressure alone are studied. The material properties, Young' s modulus-Poisson' s ratio, are assumed to obey a graduation with the power-law function through the wall thickness. Under these assumptions, the governing equations of the vessels become a two-point boundary value problem. The analytical solution of such an equation cannot be obtained except for simple grading functions. Complementary Functions Method is performed to solve governing equation in order to obtain displacement and stress distributions depending on inhomogeneity parameters.

Keywords

Pressure Vessels, Functionally Graded Material, Complementary Functions Method, Stress Analysis

References

Koizumi, M. (1997). FGM activities in Japan. Composites Part B: Engineering, vol. 28, p. 1-4, DOI:10.1016/S1359-8368(96)00016-9.
Aydin, M. (2014). Ballistic impact behaviors of functionally graded sandwich plates. Erciyes University, Graduate School of Natural and Applied Sciences, PhD Thesis, p. 129.
Timoshenko, S. P., Goodier, J. N. (1970). Therory of Elasticity. McGraw- Hill, New York.
Güven U., Baykara C. 2001. On stress distributions in functionally graded isotropic spheres subjected to internal pressure, Mechanic Research Communications, 28(3), 277-281, DOI:10.1016/s0093-6413(01)00174-4.
Tütüncü, N., Öztürk, M. (2001). Exact solutions for stresses in functionally graded pressure vessels. Composites Part B: Engineering, vol. 32, no. 8, p. 683-686, DOI: 10.1016/s1359-8368(01)00041-5.
You, L.H., Zhang, J.J., You, X.Y. (2005). Elastic analysis of internally pressurized thick-walled spherical pressure vessels of functionally graded materials. International Journal of Pressure Vessels and Piping, vol. 82, no 5, p. 347-354, DOI: 10.1016/j.ijpvp.2004.11.001s.
Tütüncü, N. (2007). Stresses in thick-walled FGM cylinders with exponentially-varying properties. Engineering Structures, vol. 29, no. 9, p. 2032-2035, DOI: 10.1016/j.engstruct.2006.12.003.
Yontar, O., Çelik, U., Keleş, İ. (2017). The effect of Inhomogeneity Parameters in Non-Homogenous (FGM) Spherical Pressure Vessels. XVIII. National Mechanic Congress, Celal Bayar University, Manisa-Türkiye, 26-30 August.
Chen, Y.Z., Lin, X.Y., Zhang, J.J., You, X.Y. (2008). Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials. Computational Materials Science, vol. 44, no. 2, p. 581-587, DOI:10.1016/j.commatsci.2008.04.018.
Eraslan, A.N., Akış, T. (2015). Analytical Solutions to Elastic Functionally Graded Cylindrical And Spherical Pressure Vessels. Journal of Multidisciplinary Engineering Science and Technology, vol. 2, no 10, p. 2687-2693.
Li, X.F., Peng, X.L., Kang, Y.A. (2009). Pressurized hollow spherical vessels with arbitrary radial nonhomogeneity. AIAA Journal, vol. 47, no. 9, p. 2262-2266, DOI:10.2514/1.41995.
Tütüncü, N., Temel, B. (2009). A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres. Composite Structures, vol. 91, no.3, p. 385-390, DOI:10.1016/j.compstruct.2009.06.009.
Chen, Y.Z., Lin, X.Y. (2010). An alternative numerical solution of thick-walled cylinders and spheres made of functionally graded materials. Computational Materials Science, vol. 48, no. 3, p. 640-647, DOI:10.1016/j.commatsci.2010.02.033.
Nie, G.J., Zhong, Z., Batra, R.C. (2011). Material tailoring for functionally graded hollow cylinders and spheres. Composites Science and Technology, vol. 71, no. 5, p. 666-673, DOI:10.1016/j.compscitech.2011.01.009.
Nejad, M.Z., Abedi, M., Lotfian, M.H., Ghannad, M. (2012). An exact solution for stresses and displacements of pressurized FGM thick-walled spherical shells with exponential-varying properties. Journal of Mechanical Science and Technology, vol. 26, no. 12, p. 4081-4087, DOI:10.1007/s12206-012-0908-3.
Karami, K., Abedi, M., Nejad, M.Z., Lotfian, M.H. (2012). Elastic analysis of heterogeneous thick-walled spherical pressure vessels with parabolic varying properties. Frontiers of Mechanical Engineering, vol. 7, no. 4, p. 433-438, DOI:10.1007/s11465-012-0336-1.
Khoshgoftar, M. J., Rahimi, G.H., Arefi, M. (2013). Exact solution of functionally graded thick cylinder with finite length under longitudinally non-uniform pressure. Mechanics Research Communications, vol. 51, p. 61-66, DOI:10.1016/j.mechrescom.2013.05.001.

There are 17 citations in total.

Details

Primary Language	English
Subjects	Mechanical Engineering
Journal Section	Research Article
Authors	Mehmet Eker 0000-0002-6785-1710 Durmuş Yarımpabuç 0000-0002-8763-1125 Kerimcan Çelebi 0000-0001-6294-0872
Publication Date	June 20, 2018
Acceptance Date	January 18, 2018
Published in Issue	Year 2018 Volume: 2 Issue: 2

Cite

APA	Eker, M., Yarımpabuç, D., & Çelebi, K. (2018). Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio. European Mechanical Science, 2(2), 52-59. https://doi.org/10.26701/ems.360134
AMA	Eker M, Yarımpabuç D, Çelebi K. Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio. EMS. June 2018;2(2):52-59. doi:10.26701/ems.360134
Chicago	Eker, Mehmet, Durmuş Yarımpabuç, and Kerimcan Çelebi. “Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio”. European Mechanical Science 2, no. 2 (June 2018): 52-59. https://doi.org/10.26701/ems.360134.
EndNote	Eker M, Yarımpabuç D, Çelebi K (June 1, 2018) Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio. European Mechanical Science 2 2 52–59.
IEEE	M. Eker, D. Yarımpabuç, and K. Çelebi, “Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio”, EMS, vol. 2, no. 2, pp. 52–59, 2018, doi: 10.26701/ems.360134.
ISNAD	Eker, Mehmet et al. “Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio”. European Mechanical Science 2/2 (June 2018), 52-59. https://doi.org/10.26701/ems.360134.
JAMA	Eker M, Yarımpabuç D, Çelebi K. Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio. EMS. 2018;2:52–59.
MLA	Eker, Mehmet et al. “Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio”. European Mechanical Science, vol. 2, no. 2, 2018, pp. 52-59, doi:10.26701/ems.360134.
Vancouver	Eker M, Yarımpabuç D, Çelebi K. Mechanical Behavior of Functionally Graded Pressure Vessels Under the Effect of Poisson’s Ratio. EMS. 2018;2(2):52-9.