THE ENLARGEMENT OF A HOLE IN A RIGID-WORKHARDENING DISK OF NON-UNIFORM INITIAL THICKNESS.
CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF THE AEROSPACE AND MECHANICAL ENGINEERING SCIENCES
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A complete solution is obtained for the enlargement of a circular hole in a disk using an isotropic strain-hardening law with Mises yield condition and its associated flow rule. The results are then compared with those obtained using 1 Trescas yield condition and its associated flow rule 2 Mises yield condition for the neutral plastic region, and Trescas yield condition and the flow rule associated with the Mises yield criterion for the active plastic region and 3 Trescas yield condition for all plastic regions and the Saint Venant-Levy-Mises flow rule. An interesting feature of the results is that, when material hardening exists and when the Saint Venant-Levy-Mises flow rule is used, then, as the hole expands, there first occurs a thickening of the disk at the vicinity of the holes edge, which thickening may then be followed by a thinning. It appears that this phenomenon has not been noticed before. Author