Von mises yield criterion and nonlinearly hardening variable thickness rotating annular disks with rigid inclusion

Date

2002-09-01

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

221
views

0
downloads

A computational model is developed to investigate inelastic deformations of variable thickness rotating annular disks mounted on rigid shafts. The von Mises yield condition and its flow rule are combined with Swift's hardening law to simulate nonlinear hardening material behavior. An efficient numerical solution procedure is designed and used throughout to handle the nonlinearities associated with the von Mises yield condition and the boundary condition at the shaft-annular disk interface. The results of the computations are verified by comparison with an analytical solution employing Tresca's criterion available in the literature. Inelastic stresses and deformations are calculated for rotating variable thickness disks described by two different commonly used disk profile functions i.e. power and exponential forms. Plastic limit angular velocities for these disks are calculated for different values of the geometric and hardening parameters. These critical angular velocities are found to increase as the edge thickness of the disk reduces. Lower plastic limit angular velocities are obtained for disks made of nonlinearly hardening materials.

Subject Keywords

Variable thickness, Nonlinear strain hardening, Von Mises criterion, Plastic deformation

URI

https://hdl.handle.net/11511/36245

Journal

MECHANICS RESEARCH COMMUNICATIONS

DOI

https://doi.org/10.1016/s0093-6413(02)00282-3

Collections

Department of Engineering Sciences, Article

Suggestions

OpenMETU
Core

Yielding and Elastoplastic Deformation of Annular Disks of a Parabolic Section Subject to External Compression Akgül, Ferhat (2005-01-01) A computational model is developed to predict partially plastic stresses in variable thickness annular disks subject to radial compression. The model is based on the von Mises' yield criterion, deformation theory of plasticity and a Swift type hardening law. Considering a thickness profile in the form of a general parabolic function, the condition of occurrence of plastic deformation at the inner and outer edges of the annular disk is investigated. A critical disk profile is determined and the corresponding...
Limit angular velocities of variable thickness rotating disks Eraslan, Ahmet Nedim (2002-06-01) Elastic and plastic limit angular velocities are calculated for rotating disks of variable thickness in power function form. Analytical solution is obtained and used to calculate elastic limit angular velocities of variable thickness rotating annular disks and annular disks with rigid inclusion. An efficient numerical solution procedure is designed and used to obtain the elastic limit angular velocities of variable thickness rotating solid disks. Von Mises yield criterion and its flow rule is used to estima...
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...

Citation Formats

A. N. Eraslan, “Von mises yield criterion and nonlinearly hardening variable thickness rotating annular disks with rigid inclusion,” MECHANICS RESEARCH COMMUNICATIONS, pp. 339–350, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36245.