## Stress analysis of functionally graded rotating discs: analytical and numerical solutions.(English)Zbl 1293.74278

Summary: This study deals with stress analysis of annular rotating discs made of functionally graded materials (FGMs). Elasticity modulus and density of the discs are assumed to vary radially according to a power law function, but the material is of constant Poisson’s ratio. A gradient parameter $$n$$ is chosen between 0 and 1.0. When $$n=0$$, the disc becomes a homogeneous isotropic material. Tangential and radial stress distributions and displacements on the disc are investigated for various gradient parameters $$n$$ by means of the diverse elasticity modulus and density by using analytical and numerical solutions. Finally, a homogenous tangential stress distribution and the lowest radial stresses along the radius of a rotating disc are approximately obtained for the gradient parameter $$n=1.0$$ compared with the homogeneous, isotropic case $$n=0$$. This means that a disc made of FGMs has the capability of higher angular rotations compared with the homogeneous isotropic disc.

### MSC:

 74K20 Plates 74S05 Finite element methods applied to problems in solid mechanics 74E05 Inhomogeneity in solid mechanics
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