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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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