Journal of Theoretical
and Applied Mechanics

56, 4, pp. 1029-1041, Warsaw 2018
DOI: 10.15632/jtam-pl.56.4.1029

Thermoelastic stresses in functionally graded rotating annular disks with variable thickness

Mohammed N.M. Allam, Rania Tantawy, Ashraf M. Zenkour
This article presents semi-analytical solutions for stress distributions in exponentially and
functionally graded rotating annular disks with arbitrary thickness variations. The disk is
under pressure on its boundary surfaces and exposed to temperature distribution varying
linearly across thickness. Material properties are supposed to be graded in the radial di-
rection of the disk and obeying to two different forms of distribution of volume fraction of
constituents. Different conditions at boundaries for stresses and displacement are discus-
sed. Accurate and efficient solutions for displacement and stresses in rotating annular disks
are determined using infinitesimal theory. Numerical results are carried out and discussed
for different cases. It can be deduced that the gradient of material properties and thick-
ness variation as well as the change of temperature sources have a specific effect in modern
applications.
Keywords: functionally graded, variable thickness, semi-analytical approach, rotating, ther- mal effect

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