Analytical solutions to orthotropic variable thickness disk problems

Download

index.pdf

Date

2016-01-01

Author

Eraslan, Ahmet Nedim
Varlı, Ekin

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

281
views

142
downloads

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 boundary conditions used to complete the solutions simulate rotating annular disks with two free surfaces, stationary annular disks with pressurized inner and free outer surfaces, and free inner and pressurized outer surfaces. The results of the solutions to each of these cases are presented in graphical forms. It is observed that, for the three cases investigated the elastic orthotropy parameter turns out to be an important parameter affecting the elastic behavior

Subject Keywords

Orthotropic disk, Variable thickness, Thermoelasticity, Hypergeometric equation

URI

https://hdl.handle.net/11511/38577

Journal

PAMUKKALE UNIVERSITY JOURNAL OF ENGINEERING SCIENCES-PAMUKKALE UNIVERSITESI MUHENDISLIK BILIMLERI DERGISI

DOI

https://doi.org/10.5505/pajes.2015.91979

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Analytical and numerical solutions to rotating variable thickness disks for a new thickness profile Eraslan, Ahmet Nedim (2015-09-01)
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...
A computational model for partially plastic stress analysis of orthotropic variable thickness disks subjected to external pressure Eraslan, Ahmet Nedim; Yedekçi, Buşra (2014-04-01) A computational model is developed to predict the states of stressand deformation in partially plastic, orthotropic, variable thickness, nonisothermal, stationary annular disks under external pressure. Assuming a state ofplane stress and using basic equations of mechanics of a disk, Maxwell relation,Hill’s quadratic yield condition, and a Swift type nonlinear hardening law, asingle governing differential equation describing the elastic and partially plasticresponse of an orthotropic, variable thickness, non...
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.
Analysis of stress in the elastic state in a solid cylinder subjected to periodic boundary condition Yedekçi, Buşra; Eraslan, Ahmet Nedim; Department of Engineering Sciences (2015) An analytical model is developed to investigate the thermoelastic response of a solid cylinder subjected to periodic boundary condition. Time dependent periodic boundary condition for the solid cylinder is treated by the help of Duhamel's theorem. The corresponding thermoelastic equation is obtained in terms of radial displacement by using basic equations of elasticity under generalized plane strain presupposition. Analytical solution of the thermoelastic equation is obtained to determine the distributions ...

Citation Formats

A. N. Eraslan and E. Varlı, “Analytical solutions to orthotropic variable thickness disk problems,” PAMUKKALE UNIVERSITY JOURNAL OF ENGINEERING SCIENCES-PAMUKKALE UNIVERSITESI MUHENDISLIK BILIMLERI DERGISI, pp. 24–30, 2016, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38577.