ON DISCONTINUOUS PLASTIC STATES, WITH SPECIAL REFERENCE TO LOCALIZED NECKING IN THIN SHEETS

PERMISSIBLdEis continuities of stress, velocity, and surface slope are investigated in a plastic-rigidsheet deformed in its plane. One such discontinuity of velocity is shown to be the mathematicalidealization of localized necking ; the necessary restrictions on the stress-state and rate of workhardeningare obtained for any yield function and plastic potcntiah The results are..