THE FORMATION AND ENLARGEMENT OF A CIRCULAR HOLE IN A THIN PLASTIC SHEET
- 1 January 1948
- journal article
- Published by Oxford University Press (OUP) in The Quarterly Journal of Mechanics and Applied Mathematics
- Vol. 1 (1) , 103-124
- https://doi.org/10.1093/qjmam/1.1.103
Abstract
When a circular hole is made in a flat sheet by a conical-headed bullet or by outward radial pressure on its edge, the metal near the hole piles up into a thickened crater. The mechanics of this deformation is discussed. The interest of the problem lies in the fact that the complete strain-history of each element of the sheet has to be calculated. This is because the ratios of the principal stresses at each element of the sheet vary as the deformation proceeds, so that there is no relationship between the stress and total deformation but only between stress and strain increments occurring during a small expansion of the hole.Keywords
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