Assuming exponential varying properties in the radial direction and constant Poisson’s ratio, a closed-form analytical solution based on the elasticity theory is obtained to elastic analysis of disks made of functionally graded materials (FGMs) subjected to internal and external pressure. Following this, radial displacement, radial stress, and circumferential stress profiles are plotted for different values of material inhomogeneity constant, as a function of radial direction. The displacements and stresses distributions are compared with the solutions of the finite element method (FEM) and comparison with the corresponding numerical solution indicates that the proposed solution has excellent convergence and accuracy.
 Horgan C. O., Chan A. M., The pressurized hollow cylinder or disk problem for functionally graded isotropic linearly elastic materials, J. Elasticity, 1999, 55, 43–59 http://dx.doi.org/10.1023/A:100762540196310.1023/A:1007625401963Search in Google Scholar
 Bakhshi M., Bagri A., Eslami M. R., Coupled thermoelasticity of functionally graded disk, Mech. Adv. Mater. Struc., 2006, 13, 219–225 http://dx.doi.org/10.1080/1537649060058271910.1080/15376490600582719Search in Google Scholar
 Eraslan A. N., Akis T., On the plane strain and plane stress solutions of functionally graded rotating solid shaft and solid disk problems, Acta Mech., 2006, 181, 43–63 http://dx.doi.org/10.1007/s00707-005-0276-510.1007/s00707-005-0276-5Search in Google Scholar
 Zenkour A. M., Elastic deformation of the rotating functionally graded annular disk with rigid casing, J. Mater. Sci., 2007, 42, 9717–9724 http://dx.doi.org/10.1007/s10853-007-1946-610.1007/s10853-007-1946-6Search in Google Scholar
 Chen Y. Z., Lin X. Y., Elastic analysis for thick cylinders and spherical pressure vessels made of functionally graded materials, Comp. Mater. Sci., 2008, 44, 581–587 http://dx.doi.org/10.1016/j.commatsci.2008.04.01810.1016/j.commatsci.2008.04.018Search in Google Scholar
 Nejad M. Z., Rahimi G. H., Ghannad M., Set of field equations for thick shell of revolution made of functionally graded materials in curvilinear coordinate system, Mechanika, 2009, 77, 18–26 Search in Google Scholar
 Tutuncu N., Temel B., A novel approach to stress analysis of pressurized FGM cylinders, disks and spheres, Compos. Struct., 2009, 91, 385–390 http://dx.doi.org/10.1016/j.compstruct.2009.06.00910.1016/j.compstruct.2009.06.009Search in Google Scholar
 You L. H., Wang J. X., Tang B. P., Deformations and stresses in annular disks made of functionally graded materials subjected to internal and/or external pressure, Meccanica, 2009, 44, 283–292 http://dx.doi.org/10.1007/s11012-008-9174-y10.1007/s11012-008-9174-ySearch in Google Scholar
 Zenkour A. M., Stress distribution in rotating composite structures of functionally graded solid disks, J. Mater. Process. Tech., 2009, 209, 3511–3517 http://dx.doi.org/10.1016/j.jmatprotec.2008.08.00810.1016/j.jmatprotec.2008.08.008Search in Google Scholar
 Afsar A. M., Go J., Song J. I., A mathematical analysis of thermoelastic characteristics of a rotating circular disk with an FGM coating at the outer surface, Adv. Compos. Mater., 2010, 19, 269–288 http://dx.doi.org/10.1163/092430410X49048210.1163/092430410X490482Search in Google Scholar
 Go J., Afsar A. M., Song J. I., Analysis of thermoelastic characteristics of a rotating FGM circular disk by finite element method, Adv. Compos. Mater. 2010, 19, 197–213 http://dx.doi.org/10.1163/092430410X49047310.1163/092430410X490473Search in Google Scholar
 Peng X-L., Li X-F., Effects of gradient on stress distribution in rotating functionally graded solid disks, J. Mech. Sci. Technol., 2012, 26, 1483–1492 http://dx.doi.org/10.1007/s12206-012-0339-110.1007/s12206-012-0339-1Search in Google Scholar
 Abramowitz M., Stegun A. I. (eds), Handbook of Mathematical Functions, 5th ed, Washington DC: US Government Printing Office. 1966 Search in Google Scholar
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