THE BURSTING SPEED OF A ROTATING PLASTIC DISC
BROWN UNIV PROVIDENCE RI DIV OF APPLIED MATHEMATICS
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An analysis is presented of the stresses and strains in a fully plastic, initially uniform, rotating annular disk composed of a strain-hardening material. The analysis is based on Trescas yield condition and the associated flow rule and assumes that elastic strains may be neglected in comparison to the finite plastic strains. The bursting speed of the disk is expressed in terms of a definite integral involving the strain-hardening function of the material. Analytical evaluations are presented for linear and logarithmic strain- hardening. In the former case, instability occurs only at the onset of plastic flow for the latter, considerable plastic deformation of a stable character may occur before instability is reached. In general, the integral must be evaluated numerically.