  Functionally graded materials (FGMs) represent a promising class of advanced
materials designed with tailored microstructures to achieve optimized
mechanical, thermal, and functional properties across varying gradients. The
strategic integration of distinct materials within functionally graded
materials offers engineers unprecedented control over properties such as
strength, thermal conductivity, and corrosion resistance, enabling innovative
solutions for demanding applications in aerospace, automotive, and biomedical
industries. This study investigates a rotating annular thin disk with variable
thickness composed of incompressible hyperelastic material, made up of
functionally graded properties under large deformations. To elucidate these
phenomena, a power relation is employed to delineate the changes in
cross-sectional geometry m, the material property n, and the angular velocity w
of hyperelastic material. Constants used for hyperelastic material are obtained
from the experimental data. Equations are solved semi-analytically for
different values of m, n, and w, and the values of radial stresses, tangential
stresses, and elongation are calculated and compared for different conditions.
Results show that thickness and FG properties have a significant impact on the
behavior of disk, so that the expected behavior of the disk can be obtained by
an optimal selection of the disks geometry and material properties. By
selecting the optimum values for these variables, the location of maximum
stress can be controlled in large deformations, thereby furnishing significance
advantages in structural design and material selection.
