Elastoplastic analysis of nonlinearly hardening variable thickness annular disks under external pressure |
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Authors: | Ahmet N Eraslan Yusuf Orcan Uur Güven |
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Institution: | aDepartment of Engineering Sciences, Middle East Technical University, Ankara 06531, Turkey;bDepartment of Mechanical Engineering, Yıldız Technical University, Beşiktaş, İstanbul 34349, Turkey |
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Abstract: | Based on von Mises’ yield criterion, deformation theory of plasticity and Swift’s hardening law, elasto-plastic deformation of variable thickness annular disks subjected to external pressure is studied. A nonlinear shooting method using Newton’s iterations with numerically approximated tangent is designed for the solution of the problem. 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 elastic–plastic stresses as well as the residual stress distribution upon removal of the applied pressure are computed and discussed. |
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Keywords: | Variable thickness External pressure Nonlinear hardening Residual stresses von Mises criterion |
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