Stress distributions in elastic-plastic rotating disks with elliptical thickness profiles using Tresca and von Mises criteria

Analytical and numerical solutions for the elastic-plastic stress distribution in rotating variable thickness solid and annular disks are obtained under plane stress assumption. The thickness of the disk is assumed to vary radially in elliptic form which represents a wide range of continuously variable nonlinear cross-sectional profiles. Tresca's yield criterion and its associated flow rule are used to obtain analytical solutions for a linear hardening material. A computational model is developed to obtain solutions using the von Mises yield criterion, deformation theory of plasticity and a Swift-type hardening law. Both linear and nonlinear hardening materials are considered in solutions obtained by using von Mises criterion. The stresses, displacement and plastic strains are calculated for solid and annular disks rotating at different speeds and the results are presented in graphical forms.


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Citation Formats
A. N. Eraslan, “Stress distributions in elastic-plastic rotating disks with elliptical thickness profiles using Tresca and von Mises criteria,” ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, pp. 252–266, 2005, Accessed: 00, 2020. [Online]. Available: