Elastic-plastic deformation of a thin rotating solid disk of exponentially varying density

The plane state of stress in an elastic-plastic rotating solid disk of exponentially varying density is studied. Elastic-plastic stresses and displacement have been derived using Tresca's yield condition, its associated flow rule and linear strain hardening. Results obtained have been discussed numerically and depicted graphically for different geometric parameters. The results for uniform density are verified with those available in literature. It is observed that with the variation in density exponentially (decreases radially), high angular speed is required for a material to become fully plastic which in turns give more significant and economic design by an appropriate choice of density parameters.