The Effect of Ductile Damage on Plastic Behavior of a Rotating Disk with Variable Thickness Subjected to Mechanical Loading

Abstract

Abstract. In this work, the e ect of ductile damage on distributions of strain and displacement components in rotating annular disks with variable thicknesses under plane stress conditions is studied using semi-analytical and nite element methods. The plastic behavior of disks under mechanical loading is studied on the basis of continuum damage mechanics. The semi-analytical method is developed using Prandtl-Reuss relations, the method of successive elastic solution, and the damage plasticity model proposed by Xue and Wierzbicki that is also used for nite element analysis. The proposed damage plasticity model incorporates the e ects of both hydrostatic stress and the Lode angle to de ne the fracture envelope. The results obtained by the semi-analytical method are then compared with the results obtained by the nite element method. Numerical calculations for di erent ranges of thickness parameter, with and without damage e ects, are carried out and the results are compared. It is shown that the damage has a signi cant e ect on values of maximum von Mises stress and the limit angular velocity of annular disks. Results of the present study con rm the credibility of the proposed model in predicting the damage limit angular velocity, and can be extended to other states of loading.