On annular disks of variable thickness subjected to external pressure

Date

2004-02-01

Author

Eraslan, Ahmet Nedim

Metadata

Show full item record

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

Item Usage Stats

238
views

0
downloads

Exact solutions are obtained for the elastic stress distribution in variable thickness annular disks under external pressure. Two different thickness functions both in parabolic form are considered. It is shown that, depending on the geometric parameters describing the shape of the disk profile, the plastic deformation in the variable thickness annular disk commences at the inner or at the outer or simultaneously at both surfaces. The critical values of the geometric parameters which cause the plastic deformation to begin simultaneously at both surfaces are obtained for both of the disk profiles.

Subject Keywords

General Engineering

URI

https://hdl.handle.net/11511/46415

Journal

FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH

DOI

https://doi.org/10.1007/s10010-003-0119-2

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Yielding of two-layer shrink-fitted composite tubes subject to radial pressure Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2005-12-01) Yielding of two-layer shrink-fitted composite tubes with axially constrained ends subject to either internal or external pressure is investigated in detail. In the framework of small deformations, a state of plane strain and von Mises yield criterion, analytical expressions are obtained for critical values of the pressure leading to plastic flow. It is shown that, depending on material properties and tube dimensions, different modes of plastic deformation may occur. Yielding may commence at the inner tube o...
THERMAL-STRESSES IN A HEAT GENERATING ELASTIC-PLASTIC CYLINDER WITH FREE ENDS ORCAN, Y (Elsevier BV, 1994-06-01) The exact solution of the distribution of stress and deformation in an elastic-perfectly plastic cylindrical rod with uniform internal heat generation under generalized plane strain condition is presented. The treatment is based on Tresca's yield condition and the associated flow rule. The stress image points of the outer and inner plastic regions lie on two different edges of Tresca prism. With increasing heat generation parameter, the image points of the intermediate regions spread out through two side re...
A computational procedure for estimating residual stresses and secondary plastic flow limits in nonlinearly strain hardening rotating shafts Eraslan, Ahmet Nedim (Springer Science and Business Media LLC, 2005-03-01) A computational procedure to estimate the residual stress distributions and the limit angular speeds for avoiding secondary plastic deformation in nonlinearly strain hardening rotating elastic-plastic shafts is given. The model is based on von Mises yield condition, J(2) deformation theory and a Swift-type hardening law. The boundary value problem for the governing nonlinear differential equation is solved by a shooting method using Newton iterations with numerically approximated tangent. Solid as well as h...
RECONSTRUCTION OF PERMITTIVITY AND CONDUCTIVITY PROFILES OF A DIELECTRIC SLAB IN THE TIME DOMAIN BY DESCENT METHODS ONDER, M; Kuzuoğlu, Mustafa (Institution of Engineering and Technology (IET), 1992-10-01) An optimisation approach is presented for the problem of reconstructing the permittivity and conductivity profiles of a dielectric slab from the reflected and transmitted field data. The problem is treated as an optimal control problem where the norm of the difference of measured and calculated boundary data is minimised subject to the state equation governing the system. The original constrained optimisation problem is reduced to the evaluation of stationary points of an augmented functional which is obtai...
COMPRESSIBLE, HYPERELASTIC SPINNING TUBES SUBJECTED TO CIRCUMFERENTIAL SHEAR ERTEPINAR, A (Elsevier BV, 1991-01-01) The finite strain behavior of cylindrical tubes, made of a polynomial compressible material and subjected to the simultaneous action of constant spin and uniform external circumferential shear, is investigated using the theory of finite elasticity. The inner surface of the tube is assumed to be perfectly bonded to a rigid shaft. The governing quasi-linear system of two ordinary differential equations is solved using a shooting method. Numerical results are generated to analyze, qualitatively, the effects...

Citation Formats

A. N. Eraslan, “On annular disks of variable thickness subjected to external pressure,” FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, pp. 133–138, 2004, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46415.