Study on the elastic–plastic interface and large deformation of axisymmetric disks under rotating status

Abstract When the angular velocity of a circular disk at room temperature is gradually increased the disk first of all behaves elastically, then, at a certain velocity, plastic yielding begins and proceeds, with work-hardening, until all the material of the disk has reached the initial yield point, Further increase in speed causes unrestricted plastic flow to take place. The system is stable as long as an increase in speed is necessary to produce further plastic flow. In the paper, theoretical analysis in polar coordinate of the elastic–plastic interface under rotating status was finished, The calculated results are given out in exact solution. The formula of large deformation analyses of rotating disk were derived out of an equation group which could become into seven independent equations with seven unknowns and can be solved by COLSYS software. Then, some calculated examples were given out. The bursting speed of rotating disk was analyzed.