Abstract
The objective of this study is to establish a framework for determining the sheet metal flow stress curve for diffuse necking deformation through the hydraulic bulge expansion (HBE) test without using traditional mechanical devices for quantifying the strain in the expanding dome. An integral part of any HBE test is the determination of the radius of curvature of the sheet metal during expansion. Traditional methods for accomplishing this usually involve the use of a spherometer, strain gauge, or customized extensometer. In this study, an alternative to the traditional methods is considered. By experimentally measuring the volume entering the die cavity, and assuming a spherical shape for the expanding work piece, the radius of curvature of the pole region is calculated through direct analytical means. An overview of the procedure and theory is presented. Experimental flow stress results for 0.039 inch thick, DDQ cold rolled steel are in agreement with the flow stress curve obtained through the standard uniaxial tension test.
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