# Analytical and numerical solutions to rotating variable thickness disks for a new thickness profile

2015-09-01
Journal of Multidisciplinary Engineering Science and Technology

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 Analytical and Numerical Solutions to Rotating Variable Thickness Disks for a New Thickness Profile Eraslan, Ahmet Nedim (2014-09-28) Analytical and numerical solutions to rotating variable thickness disks are obtained. A new one-parameter exponential model is used to express the variation of disk thickness. It is shown by taking the limit that the present analytical solution reduces to the well-known homogeneous thickness solution. Furthermore, analytical and numerical solutions are brought into view together to allow comparison and further verification. The results of the solutions are presented in tables and figures to provide benchmar...
 Elastoplastic deformations of rotating parabolic solid disks using Tresca's yield criterion Eraslan, Ahmet Nedim (Elsevier BV, 2003-11) Analytical solutions for the stress distribution in rotating parabolic solid disks are obtained. The analysis is based on Tresca's yield criterion, its associated flow rule and linear strain hardening. It is shown that, the deformation behavior of the convex parabolic disk is similar to that of the uniform thickness disk, but in the case of concave parabolic solid disk, it is different. In the latter, the plastic core consists of three different plastic regions with different mathematical forms of the yield...
 Analytical solutions to orthotropic variable thickness disk problems Eraslan, Ahmet Nedim; Varlı, Ekin (2016-01-01) An analytical model is developed to estimate the mechanical response of nonisothermal, orthotropic, variable thickness disks under a variety of boundary conditions. Combining basic mechanical equations of disk geometry with the equations of orthotropic material, the elastic equation of the disk is obtained. This equation is transformed into a standard hypergeometric differential equation by means of a suitable transformation. An analytical solution is then obtained in terms of hypergeometric functions. The ...
 Analytical and Numerical Solutions to a Rotating FGM Disk Eraslan, Ahmet Nedim (2015-10-01) Analytical and numerical solutions to a rotating uniform thickness functionally graded (FGM) disk are obtained. Solid and annular disk geometries are taken into consideration. The modulus of elasticity of the disk material is assumed to vary in the radial direction. A new one-parameter exponential model is used to express the variation of the modulus of elasticity. The results of the solutions are presented in tables and figures. Those presented in tables may form benchmark data for purely numerical calcula...
 Elastic-plastic deformation of a rotating solid disk of exponentially varying thickness Eraslan, Ahmet Nedim (2002-07-01) The elastic-plastic deformation of a rotating solid disk of variable thickness in exponential form is investigated using Tresca's yield criterion, its associated flow rule and linear strain hardening. An analytical solution is obtained and numerical results are presented for different values of the geometric parameters. In the limiting case of uniform thickness the solution reduces to Garner's solution.
Citation Formats
A. N. Eraslan, “Analytical and numerical solutions to rotating variable thickness disks for a new thickness profile,” Journal of Multidisciplinary Engineering Science and Technology, p. 2359–2364 , 2015, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/86918. 