Deformation and Stress Analysis of an Anisotropic Rotating Annular Disk

Abstract

The plane state of stress in a rotating elastic-perfectly plastic anisotropic annular disk of constant thickness and density is studied. It is shown that the key design geometric parameters of the disk, namely, its mean radius and width, influence the stress and strain distributions. To explicitly get the total strain field, including elastic and plastic regions, a new, original, semi-analytical method is developed. The disk material is assumed to be elastically and plastically anisotropic, obeying the Hill's quadratic yield criterion in the plastic zone and the generalized Hooke's law in the elastic zone. The results may be used in a preliminary design of rotating disks as well as in implementation of numerical codes.

Keywords:

• Rotating Disk
• Hill's Quadratic Yield Criterion
• Stress and Strain Fields
• Semi-Analytical Solution

Acknowledgments

Dr. Nelli Alexandrova gratefully acknowledges support of this work from the Portuguese Science and Technology Foundation, grant SFRH/BPD/6549/2001.