2018
DOI: 10.1590/1679-78254229
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Abstract: An extensive parametric study on the variation of the centrifugal-force-induced stress and displacements with the inhomogeneity indexes, profile parameters and boundary conditions is conducted based on the author's recently published analytical formulas for radially functionally power-law graded rotating hyperbolic discs under axisymmetric conditions. The radial variation of the thickness of the disc is chosen to obey a hyperbolic function defined either convergent or divergent. In the present work, contrary t… Show more

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Cited by 10 publications
(3 citation statements)
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“…Gang [47] analytically studied the stress analysis of a simple-power law graded hyperbolic free-free rotating disk for four convergent disk profiles and negative inhomogeneity indexes. Yıldırım [48] presented a comprehensive parametric study for a power-law graded hyperbolic rotating disk. Based on the transfer matrix approach, Yıldırım [49], considered six different material grading rules such as a simple power rule (P-FGM), an exponential function (E-FGM), a linear function (L-FGM), a Voigt mixture rule with the power of volume fractions of constituents (V-FGM), a Mori-Tanaka scheme (MT-FGM), and a sigmoid function (S-FGM) with several parabolically/linearly/hyperbolically tapered disk profiles including uniform ones to study the elastic response of rotating disks made of FG metal and ceramic pairs (Al/Al2O3) under freefree, fixed-free, and fixed-fixed boundary conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Gang [47] analytically studied the stress analysis of a simple-power law graded hyperbolic free-free rotating disk for four convergent disk profiles and negative inhomogeneity indexes. Yıldırım [48] presented a comprehensive parametric study for a power-law graded hyperbolic rotating disk. Based on the transfer matrix approach, Yıldırım [49], considered six different material grading rules such as a simple power rule (P-FGM), an exponential function (E-FGM), a linear function (L-FGM), a Voigt mixture rule with the power of volume fractions of constituents (V-FGM), a Mori-Tanaka scheme (MT-FGM), and a sigmoid function (S-FGM) with several parabolically/linearly/hyperbolically tapered disk profiles including uniform ones to study the elastic response of rotating disks made of FG metal and ceramic pairs (Al/Al2O3) under freefree, fixed-free, and fixed-fixed boundary conditions.…”
Section: Introductionmentioning
confidence: 99%
“…Gang [29] analytically studied the stress analysis of a simple powerlaw-graded free-free hyperbolic rotating disk for four convergent disk profiles and negative inhomogeneity indexes. Yıldırım [30] presented a comprehensive parametric study for a power-law-graded hyperbolic rotating disk. Based on the transfer matrix approach, Yıldırım [31], considered six different material grading rules such as a simple power rule (P-FGM), an exponential function (E-FGM), a linear function (L-FGM), a Voigt mixture rule with power of volume fractions of constituents (V-FGM), a Mori-Tanaka scheme (MT-FGM), and a sigmoid function (S-FGM) with several parabolically/linearly/hyperbolically tapered disk profiles including uniform ones to study the elastic response of rotating disks made of FG metal and ceramic pairs (Al/Al 2 O 3 ) under free-free, fixed-free, and fixed-fixed boundary conditions.…”
Section: Introductionmentioning
confidence: 99%
“…To consider variable-thickness FGM discs subjected to only centrifugal forces many methods such as semi-analytical methods in which the main domain is divided into uniform sub-domains (Bayat et al 2008), the finite element method (Zafarmand and Hassani 2014), the finite difference method (Zheng et al 2016), analytical (Yildirim 2016;2018), the complementary functions method (Boğa and Yildirim 2017;Yildirim and Kacar 2017), and the transfer matrix method (Yildirim and Kacar 2017).…”
Section: Introductionmentioning
confidence: 99%