Effects of Inhomogeneity and Thickness Parameters on the Elastic Response of a Pressurized Hyperbolic Annulus/Disc Made of Functionally Graded Material

Year 2017, Volume: 9 Issue: 3, 36 - 50, 03.10.2017

Vebil Yıldırım

https://doi.org/10.24107/ijeas.329433

Cited By: 5

Abstract

A broad parametric study is
carried out to investigate the effects of both the inhomogeneity parameter, and
a profile index of Stodola’s hyperbolic function on the static response of such
structures subjected to both the inner and outer pressures. The investigation
is based on the analytical formulas lately published by the author. The effects of those parameters
on the variation of the radial displacement, the radial and hoop stresses are
all graphically illustrated for an annulus pressurized at its both surfaces. It is observed that,
especially, the variation of the hoop stress in radial coordinate is closely
sensible to variation of those parameters. For the chosen problems it was
observed that one of two materials whose Young’s modulus is higher than the
other is better to locate at the inner surface of the disc having divergent
profile to get reasonable maximum hoop stresses. However much smaller radial
displacements may be obtained by using positive inhomogeneity indexes for all
discs whose surfaces host a material whose Young’s modulus is smaller than the
other. To reach a final decision, analytical formulas such as those used in the
present study together with a failure criteria such as Von Mises and Tresca
become indispensable means in a design process.

Keywords

functionally graded, Pressurized disc, hyperbolic annulus, variable thickness, exact solution, elasticity solution, thickness parameter, functionally graded

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