THE ENLARGEMENT OF A HOLE IN A RIGID-WORKHARDENING DISK OF NON-UNIFORM INITIAL THICKNESS.

Abstract

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) Tresca's yield condition and its associated flow rule; (2) Mises' yield condition for the neutral plastic region, and Tresca's yield condition and the flow rule associated with the Mises yield criterion for the active plastic region; and (3) Tresca's 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 hole's edge, which thickening may then be followed by a thinning. It appears that this phenomenon has not been noticed before. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1969
Accession Number
AD0681360

Entities

People

  • Jenn-ming Chern
  • S. Nemat-nasser

Organizations

  • University of California, San Diego

Tags

DTIC Thesaurus Topics

  • Geometry
  • Hardening
  • Materials
  • Mathematics
  • Strain Hardening
  • Thickness

Readers

  • Mathematics or Statistics
  • Mechanical Engineering/Mechanics of Materials.