A computational model for partially plastic stress analysis of orthotropic variable thickness disks subjected to external pressure

Date

2014-04-01

Author

Eraslan, Ahmet Nedim
Yedekçi, Buşra

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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, nonisothermal disk is obtained.The solution of this nonlinear second order differential equation subject to freeand pressurized boundary conditions is achieved by a shooting method. In thisarticle, we move towards the governing equation by going through basic equations that lead to it and present its solution procedure and some interestingresults.

Subject Keywords

Orthotropic disk, Variable thickness, Elastoplasticity, Hill’s quadraticyield criterion, Shooting method

URI

http://www.mathenot.com
https://hdl.handle.net/11511/72926
https://dergipark.org.tr/en/download/article-file/182461

Journal

Mathematical Sciences and Applications E-Notes

Collections

Department of Engineering Sciences, Article

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Citation Formats

A. N. Eraslan and B. Yedekçi, “A computational model for partially plastic stress analysis of orthotropic variable thickness disks subjected to external pressure,” Mathematical Sciences and Applications E-Notes, pp. 1–13, 2014, Accessed: 00, 2021. [Online]. Available: http://www.mathenot.com.